The correct answer is the emf across the inductor is 1,140 V.
We need to use Faraday's Law of Induction, which states that an emf is induced in a coil whenever the magnetic flux through the coil changes.
In this case, the current flowing through the circuit is changing at a rate of 6.00 A/s, which means that the magnetic flux through the inductor is also changing at a rate of 6.00 T/s (since the inductor is made of coils).
We can use the equation emf = -L (dI/dt),
where emf is the induced emf,
L is the inductance of the coil, and
dI/dt is the rate of change of the current.
Substituting the given values, we get emf = -(190.0 H) (6.00 A/s) = -1,140 V.
The negative sign indicates that the induced emf opposes the change in current, which is consistent with Lenz's Law.
Therefore, the emf across the inductor is 1,140 V.
It is important to note that the emf across the inductor is proportional to the rate of change of current and the inductance of the coil.
This is why inductors are often used in circuits to regulate current flow and protect components from voltage spikes.
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solve for x: |2x + 6| − 4 = 20 Group of answer choicesx = 9 and x = 11x = −9 and x = 15x = 9 and x = −15No solution
Given,
\(|2x+6|-4=20\)On simplifying,
\(\begin{gathered} |2x+6|=20+4 \\ \Rightarrow|2x+6|=24 \\ 2x+6=\pm24 \end{gathered}\)Thus,
\(\begin{gathered} 2x=+24-6 \\ \Rightarrow x=\frac{18}{2} \\ =9 \end{gathered}\)Or
\(\begin{gathered} 2x=-24-6 \\ x=\frac{-30}{2} \\ =-15 \end{gathered}\)Thus, x=9 and x=-15
Therefore the correct answer is the third option
An 80kg dog initially running at a velocity 2 m/s accelerates to a velocity of 3 m/s. What is the impulse on the dog
Impulse is equal to the change in momentum of an object. The momentum of an object is equal to its mass times its velocity.
The initial momentum of the dog is 80kg * 2m/s = 160kg*m/s.
The final momentum of the dog is 80kg * 3m/s = 240kg*m/s.
The change in momentum of the dog is 240kgm/s - 160kgm/s = 80kg*m/s.
Therefore, the impulse on the dog is 80kg*m/s.
A container of carbon dioxide has a volume of 315 cm³ at a temperature of 25°C if the pressure remains constant what is the volume of 54°C
Answer:
680.4
Explanation:
the formula is V1 over T1 is equals (=) to V2 over T2 .
and we have been given that
V1 represents 315
T1 represents 25°c
V2 is unknown and what we're finding
T2 represents 54°c
so 315×54 all over 25 ...gives you 680.4
7. Our state of mind affects how we observe our surroundings. What
mental state is the best for observing?
I
a) happy
c) nervous
b) relaxed d) excited
water flows steadily along a uniform flow tube of cross section area 20cm². The total pressure is 3x104pa and static pressure is 2.5x104 pa. Calculate the velocity of the fluid.
please help me
steadily along a uniform flow tube of cross section area 20cm². The total pressure is 3x104pa and static pressure is 2.5x104 pa. Calculate the velocity of the fluid.
A car travels 3500 m in 200 seconds what is the car speed
Answer:
17.5 m/s
Explanation:
We can calculate the meters per second by dividing the distance by time. 3500 divided by 200 is 17.5, therefore the speed is 17.5 meters per second.
The specific tension of muscle is about 30 N/cm^2. The cross-sectional areas of the prime movers for elbow flexion and extension have been measured as follows:
Muscles Cross-sectional area
Biceps brachii 3.6 cm2
Brachialis 6.0 cm2
Brachioradialis 1.5 cm2
Triceps brachii 17.8 cm2
A. Determine the maximum force that the elbow flexors (as a group of muscles) can exert.
B. Consider the elbow flexors to act together with a moment arm of 4 cm, and the triceps with a moment arm of 2.5 cm. If all of these muscles were activated fully, would the elbow flex or extend?
A. We need to compute the entire cross-sectional area of the prime movers for elbow flexion and multiply it by the specific tension of muscle to get the maximum force that the elbow flexors can produce. The elbow flexors have a total cross-sectional area of 3.6 + 6.0 + 1.5 = 11.1 cm2. As a result, the elbow flexors may exert the following amount of force:
Cross-sectional area times a certain tension equals force.
Force = 333 N Force = 11.1 cm2 x 30 N/cm2
B. We must compare the torques generated by the triceps and the elbow flexors in order to determine whether the elbow will flex or extend. A muscle's torque is determined by multiplying the force it exerts by the moment arm. The moment arm is the angle at which the muscle's line of action is perpendicular to the axis of rotation.
The total torque for the elbow flexors is:
Torque equals force times moment arm
Torque equals 333 N/4 cm.
1332 N cm of torque
The total torque for the triceps is:
Torque equals force times moment arm
Torque is equal to 17.8 cm2 x 30 cm2 x 2.5 cm.
1335 N cm of torque
Since the triceps generate slightly more torque than the elbow flexors do, the elbow would extend if all of these muscles were fully engaged.
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A. To determine the maximum force that the elbow flexors can exert, we need to calculate the total cross-sectional area of the prime movers for elbow flexion, and then multiply it by the specific tension of the muscle:
The total cross-sectional area of elbow flexors = Biceps brachii + Brachialis + Brachioradialis
= 3.6 cm2 + 6.0 cm2 + 1.5 cm2
= 11.1 cm2
The maximum force that the elbow flexors can exert = Total cross-sectional area x Specific tension of muscle
= 11.1 cm2 x 30 N/cm2
= 333 N
Therefore, the maximum force that the elbow flexors can exert is 333 N.
B. To determine whether the elbow would flex or extend if all of these muscles were activated fully, we need to calculate the net torque generated by the muscles:
Net torque = (Force x Moment arm)flexors - (Force x Moment arm)triceps
Where force is the maximum force that the elbow flexors can exert (333 N), the moment arm of the elbow flexors is 4 cm, and the moment arm of the triceps is 2.5 cm.
Net torque = (333 N x 4 cm) - (333 N x 2.5 cm)
= 999 Ncm - 832.5 Ncm
= 166.5 Ncm
Since the net torque is positive (166.5 Ncm), the elbow would flex if all of these muscles were activated fully.
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Complete the sentence with the word "element" or "compound."
O is a(n) ____
and H2O2 is a(n) ____
.
Answer:
"element"= There are four basic sentence patterns based on sentence construction element
Answer:
1st one. Element
2nd one. Compound
Explanation:
Help pls ;) and thank you
Answer:
1a) Transverse wave.
1b) Ripples on the surface of water.
1c) See first attachment.
1d) See below for explanation.
2a) Longitudinal wave.
2b) Sound waves.
2c) See second attachment.
2d) See below for explanation.
Part 2) 54 m/s
Explanation:
Part 1Question 1a) The wave in the picture is a transverse wave.
In transverse waves, the oscillations are at right angles to the direction of wave travel.
b) A real world example of a transverse wave is ripples on the surface of water.
c) See first attachment.
The crest is the highest point.The trough is the lowest point. The wavelength is one full wave cycle measured from crest to crest, or trough to trough.d) The amplitude is the maximum displacement of a point of a wave from its resting position. It is measured by calculating the difference in height between a crest and the resting position (mid-line).
Question 2a) The wave in the picture is a longitudinal wave.
In longitudinal waves, the oscillations are parallel to the direction of wave travel.
b) A real world example of a longitudinal wave is sound waves.
c) See second attachment.
Compression: The region where the particles are compressed together.Rarefaction: The region where the particles are spread apart.Wavelength: One full wave cycle measured from one compression to the next compression, or from one rarefaction to the next rarefaction.d) The amplitude is the maximum displacement of a point of a wave from its resting position. It is measured by calculating the distance between the particles in the areas where it is compressed.
Part 2Wave Speed
\(\large\boxed{v=f \lambda}\)
where:
v = Wave speed measured in meters per second (m/s).f = Frequency measured in Hertz (Hz).λ = Wavelength measured in meters (m).Given values:
Frequency = 60.0 HzWavelength = 0.90 mSubstitute the given values into the formula and solve for speed:
\(\implies v=60.0 \times 0.90\)
\(\implies v=54\;\sf m/s\)
Therefore, the speed of the wave is 54 m/s.
1. What are the two main gases responsible for lowering down the pH.
2. Can we control an acid rain? Why or Why not?
3. When pH changes from 6 to 3, how many times does acidity increase?
Answer:
1. The three main acidic gases responsible for lowering the pH of rainwater are non-metal oxides produced by the burning of fossil fuels like coal, oil and natural gas. Sulfur dioxide is produced when fossil fuels containing sulfur impurities are burned.
2. A great way to reduce acid rain is to produce energy without using fossil fuels. Instead, people can use renewable energy sources, such as solar and wind power. Renewable energy sources help reduce acid rain because they produce much less pollution.
3. The pH scale is logarithmic, meaning that an increase or decrease of an integer value changes the concentration by a tenfold. For example, a pH of 3 is ten times more acidic than a pH of 4.
what causes things to attract to a balloon
Answer:
friction
Explanation:
when things like hair and the balloon run they loose some electrons to the other this makes onne object positive and negative causing them to attract
Which one is more harmful to the body? explain
calcium
vitamin d
Answer: vitamin d
Explanation: Calcium supplements cause few, if any, side effects. However, taking too much vitamin D in the form of supplements can be harmful.
PLEASE HELP 30 POINTS
1.
Determine the kinetic energy of 1500 kg Tow-Mater Truck traveling at 31.0 m/sec.
Show your work.
2.
A base jumper of mass 68.0 kg stands on the edge of a cliff and possesses 16,800 J of potential energy. How high up is this Mountain Dew Man from the base of the cliff?
Show your work
Answer:1. Using the following formula, we can calculate the kinetic energy of a 1500 kg tow-mapping truck moving at a speed of 31.0 m/s: KE is equal to 0.5 * m * v2, where m is the object's mass and v is its speed.
By entering the data, we obtain the following equation: KE = 0.5 * 1500 kg * (31.0 m/sec) * 2 = 0.5 * 1500 kg * 961 m2/sec * 2 = 723,500 J
Therefore, the 1500 kg Tow-Mater Truck's kinetic energy at 31.0 m/sec is 723,500 J.
2. To determine the height of the cliff, we use the formula: PE = mgh, where m is the mass of the base jumper, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the cliff.
Given that the base jumper has 16,800 J of potential energy, we can rearrange the formula to find h: h = PE / (m * g) = 16,800 J / (68.0 kg * 9.8 m/s^2) = 20.6 m
So, the base jumper is 20.6 meters above the base of the cliff.
Explanation:
Answer:
1.
energy : KE = units J
mass: m = 1500m unit
velocity: v = 31v unit m/s
Answer:
KE = 720750 J
2.
energy: KE = 16800 KE unit
mass: m = 68.0m unit
= V
Answer:
v = 22.228757209048 m/s
Sensory memory lasts:
Answer:
Sensory memory lasts a few hundred milliseconds. (milliseconds to seconds)
Explanation:
electron guns are used in x–ray tubes. the electrons are accelerated through a relatively large voltage and directed onto a metal target, producing x–rays. how many electrons per second strike the target if the current is 0.530 ma?
Approximately 3.31 x \(10^{15\) electrons strike the target per second.
To determine the number of electrons per second striking the target, we can use the equation:
I = n * q
where I is the current, n is the number of electrons per second, and q is the charge of each electron.
Given that the current is 0.530 mA (milliamperes) and 1 mA is equal to 1/1000 A (amperes), we can convert the current to amperes:
I = 0.530 mA * (1/1000 A/mA) = 0.000530 A
The charge of each electron, q, is approximately equal to 1.6 x \(10^{-19\) C (coulombs).
Now we can rearrange the equation to solve for n:
n = I / q
n = 0.000530 A / (1.6 x \(10^{-19\) C)
Calculating the value:
n ≈ 3.31 x \(10^{15\) electrons per second
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the neck is a
a) first class lever
b) second class lever
c) 3rd class lever
d) 4th class lever
Answer:
a) first class lever
Which one does not affect the gravitational force between the 1 point
earth and the sun? *
The mass of the earth
The mass of the sun
The distance between the earth and the sun
The net electrical charge of the earth
Answer:
D. The net electrical charge of the Earth.
Explanation:
All the other three choices affect the gravitational force. I remember from middle school.
which part of the microscope will be used first to adjust the focus when starting with the lowest power lens?
The first part of the microscope that should first be used to adjust the focus when starting with the lowest power lens would be the coarse adjustment knob.
There are two knobs in a typical light microscope with which objects on slides can be brought into focus:
Coarse adjustment knobFine adjustment knobThe 2 knobs are used to adjust the stage to either bring it up towards the objective lens or down away from them. The coarse adjustment knob, however, moves the stage a considerable distance with each turn. The fine adjustment knob, on the other hand, only moves the stage very little with each turn.
The lowest power lenses are often short. Hence, using the coarse adjustment knob is ideal in order to quickly bring objects on slides into focus.
The fine adjustment knob comes highly recommended at high objectives because high objectives lenses are usually long and using the coarse adjustment knob can lead to a breakage of the slide by the lens.
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HELP PLS I JUST NEED THE ANSWER PLSSSSSSSSSSSSSSSSSSSSSS ASAP HELPPPP
Answer:
Explanation:
Pooh Shiesty, that's my dawg
But Pooh, you know I'm really shiesty
You told all them O.T. ni ggas that you really slide
Tell the truth about your gang, they really dyin'
I got my own fire, don't need security in the club
All that woofin' on the net , I thought you was a thug
They ain't got nowhere to go, I sh0t up everywhere they was
Yeah, you know who took that - from you
Come get it back in blood
Come get it back in blood
What’s the substance that is formed as the result of a chemical reaction?
A. Chemical reaction
B. Catalyst
C. Activation energy
D. Collision theory
E. Products
F. Reactants
G. Reaction rate
Answer:
d
Explanation:
A body pulled over a distance of 500m by a force of 20N. If the power developed is 0.4kw calculate the time intervertebral during which the force is applied
Answer:25 seconds
Explanation: Power equals work/time or force*displacement/time.
So, in this case the force is 20N and the displacement is 500m so the work is 10,000N.
We know the power equals 0.4KW (which equals 400W). Plugging these values into the equation:
400=10,000/T
T=25s
Help me please if you don’t mind. The question is:
Blaine hit the ball with 50 newtons of force. It accelerated of his bat at 50 meters per second squared. What is the mass of the ball? *
50 points
A mountain climber has a mass (with all of their equipment) of 95, point, 0, k, g,95.0kg. If they were perfectly efficient, and ate 500, g,500g of chocolate (providing 11, point, 1, M, J,11.1MJ of chemical energy), how high could they climb?
Answer:
11900 meters
Explanation:
Use the Potential energy = mgh formula, substituting these in to get 11.1x10^6 = 95 x 9.81 x h.
Rearrange to make h the subject and the answer given is 11900 (3sig.fig.)
The maximum height to which he can climb will be 1.168 x 10⁴ meters.
What is potential energy?
The potential energy of a body is the energy of the body due it position. The potential energy always exist for two bodies which are in mutual interaction with each other for example by a force. For body a on earth, the potential energy of the body - earth system is -
E[P] = mgh
Given is a mountain climber that has a mass of 95 kg.
We can write -
Mass of climber = [M] = 95 kg
Energy gained by eating the chocolate = [E] = 11.1 MJ = 1.11 x 10⁷ joules
Assume that the height achieved achieve by the climber is [h] meters
Therefore, the potential energy gained at that height will be equal to 11 MJ
Therefore -
mgh = 1.11 x 10⁷
95 x 10 x h = 1.11 x 10⁷
95 x 10 x h = 1110 x 10⁴
h = (1110 x 10⁴)/950
h = 1.168 x 10⁴ meters
Therefore, the maximum height to which he can climb will be 1.168 x 10⁴ meters.
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A roller coaster accelerates from an initial speed of 6.0 m/s to a final of 70 m/s over 4 seconds. What is the rigth formula to solve the problem? Acceleration formulas: 1) v2=v1+ at 2)d=1/2(v2-v1)t 3)d=v1t + 1/2 at2 4) d=v2t - 1/2 at2 5) v2=v1+2ad a 1 b 2 c 3 d 4 e 5
Answer:
a = 16 m/s²
Explanation:
Given that,
Initial speed of a roler coaster, v₁ = 6 m/s
Final speed of a roller coaster, v₂ = 70 m/s
Time, t = 4s
We know that, acceleration of an object is equal to the rate of change of velocity. Let the acceleration be a. Its formula is given by :
\(a=\dfrac{v_2-v_1}{t}\)
or
\(v_2=v_1+at\)
The correct option is (1). Its value is equal to :
\(a=\dfrac{70-6}{4}\\\\a=16\ m/s^2\)
Its value is equal to 16 m/s².
A 1.68 x 10-15 N oil drop is suspended between two oppositely-charged parallel plates. The plates are 4.0 cm apart and there is a potential difference of 140 V between them. The top plate is positive and the bottom plate is negative.
a) Sketch the electric field between the plates.
b) Calculate the magnitude of the electric field between the plates.
c) Determine the charge on the oil drop. Include the SIGN.
d) How many electrons is this charge composed of?
A magnetic field is created between these two charged parallel plates. The field indicates a direction from the positive plate to the negative plate.
What is a positively charged plate?Protons are in excess on a positively charged metal plate. From the electron's point of view, a positively charged aluminium.The force acting on a positively charged test particle is considered to constitute the definition of the field's direction. Positive charges always gravitate away from other positive charges and in the direction of negative charges.The separator, which is made of polyethylene, divides the positive and negative plates to allow for an effective flow of electrical current.The density of surface charges on a negatively charged plate is 2 x 10-6 C/m2. The least initial distance that an electron must travel if it is travelling toward a plate with 200 eV of energy but cannot strike the plate is: 1,77 mm, 3,51 mm, and 1,77 cm, 3,51 cm.To learn more about parallel refer to:
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Positive and negative charger objects affect which type of field?
• gravitational
• electric
• magnetic
Answer:-
Electric forceThe interaction between two like-charged objects is repulsive. ... Positively charged objects and neutral objects attract each other; and negatively charged objects and neutral objects attract each other.
Explanation:
Hope it is helpful...
The steepest street in the world is Baldwin Street in Dunedin, NZ. It is inclined at an angle of 380 , with the horizontal. A child slides down the street with a constant velocity on a sled with high friction runners. What is the coefficient of friction between the sled runners and the street?
Newton's second law allows to find the result for the friction coefficient of the street is:
The friction coeficinwete is: μ = 0.78
Newton's second law establishes a relationship between the net force, the mass and the acceleration of the body.
∑ F = m a
Where bold indicates vectors, m is to mass and acceleration.
In the attached we see a free body diagram, it is a diagram of the forces without the details of the body, the x-axis is parallel to plane also shown with the positive in the direction of movement, going down the plane and the y-axis perpendicular to the plane.
Let's use trigonometry to break down the weight.
Sin θ = \(\frac{W_x}{W}\)
cos θ = \(\frac{W_y}{W}\) / W
Wₓ = W sin θ
\(W_y\) = W cos θ
We write Newton's second law for each axis.
y-axis
N- \(W_y\) = 0
N = mg cos θ
x-axis
Wₓ - fr = ma
Since they indicate that the body goes down at a constant speed, the acceleration is zero.
W sin θ = fr
The friction force is the macroscopic representation of the interactions between the two surfaces and the formula.
fr = μ N
we substitute.
fr = μ mg cos θ
mg sin θ = μ cos θ
μ = tan θ
Let's calculate.
μ = tan 38.0
μ = 0.78
In conclusion using Newton's second law we can find the results for the friction coefficient of the street is:
The frivtion coefficient is: μ = 0.78
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Example2: A stone is pushed from the roof of a 60-m tall tower. Its
initial velocity towards the ground was 5m. What is the
S
stone's position from the ground after:
a) .5 seconds
b) 1.0 seconds
c) 1.5 seconds
d) 2.0 seconds?
stone's position from the ground after:
a) .5 seconds is 56.275 m.
b) 1.0 seconds is 50.1 m.
c) 1.5 seconds is 45.475 m.
d) 2.0 seconds is 30.4 m.
Given parameters:
Height of the tower; h₀ = 60 m.
Initial velocity, u = 5 m/s.
We know that,
acceleration due to gravity, g = 9.8 m/s².
applied formula is :
h = h₀ - ( ut + 1/2gt²)
a)So, stone's position from the ground after:
.5 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*0.5 + 1/2*9.8*0.5²) m
= 56.275 m.
b)So, stone's position from the ground after:
1.0 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*1.0 + 1/2*9.8*1.0²) m
= 50.1 m.
c)So, stone's position from the ground after:
1.5 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*1.5 + 1/2*9.8*1.5²) m
= 45.475 m.
d)So, stone's position from the ground after:
2.0 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*2.0 + 1/2*9.8*2.0²) m
= 30.4 m.
Hence, different position of the stone in different time is calculated.
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41 m/s is struck by a baseball bat of mass m and speed 37 m/s (in the opposite direction of the ball's motion). After the collision, the ball has initial speed u(m)=77m−6.87/m+0.11m/s Show that u'
(m)>0 and interpret this in baseball terms. Compare u'(0.9) and u'(1.5). Round your final answer to two decimal places. u'(0.9)≈ and u'(1.5)≈ The rate at which this speed is increasing is
The velocity of the ball before and after collision as V₁ = 41m/s and V₂ = 37m/s respectively, and the mass of the ball as m.The velocity of the bat = 37m/s (opposite direction to the ball). Therefore, the relative velocity of the ball with respect to the bat, V = V₁ - V₂= 41 - 37 = 4 m/s.The coefficient of restitution (e) is defined as the ratio of the relative velocity of separation to the relative velocity of approach.e = V₂’ - V₁’ / V₁ - V₂, where V₂’ and V₁’ are the velocities of the ball and bat after collision.e = V₂’ / V₁ = (77 - 0.11m) / 37, V₂’ = (77 - 0.11m) 37 / 37 = 77 - 0.11m.
The velocity of the ball is u(m) = 77 - 6.87/m + 0.11m/s.Understanding:
To show that u’ (m) > 0, we need to find the derivative of u(m) with respect to m. That is, u’(m) > 0 if and only if du(m) / dm > 0.Calculation:
u(m) = 77 - 6.87/m + 0.11m/s∴ u’(m) = 6.87/m² + 0.11From the above equation, it is evident that u’(m) > 0 because m² > 0. Therefore, the velocity of the ball increases with increasing mass m.Interpretation:
In baseball terms, when the mass of the ball increases, the velocity of the ball also increases.A ball with higher velocity can travel farther when hit with a bat. Therefore, it is always an advantage to use a heavier ball.u’(0.9) = 8.81 m⁻²/s, u’(1.5) = 5.60 m⁻²/sRate of increase of speed is u’(m).Answer:u’(0.9) ≈ 8.81 m⁻²/s, u’(1.5) ≈ 5.60 m⁻²/s.The rate at which this speed is increasing is u’(m).
About VelocityVelocity is a foreign term that means speed. Speed is the locking of an object every single unit of time. Acceleration or acceleration is the change in velocity in a certain unit of time. The acceleration of an object is caused by a force acting on the object, as explained in Newton's second law. The SI unit for acceleration is meters per second squared (m s−2). What is the difference between speed and pace? Velocity or speed is the quotient between the distance traveled and the time interval. Velocity or speed is a scalar quantity. Speed or speed is the result of separation with an interval. Speed or velocity is a vector quantity.
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Determine the internal resistance of the capacitor.
Answer:
The equivalent series resistance of a capacitor is the internal resistance that appears in series with the capacitance of the device. Almost all capacitors exhibit this property at varying degrees depending on the construction, dielectric materials, quality, and reliability of the capacitor.
Explanation:
Hope this helps