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Chapter 19: Q14CQ (page 694)

Does the capacitance of a device depend on the applied voltage? What about the charge stored in it?

Short Answer

Expert verified

No, voltage and charge have no effect on capacitance.

Step by step solution

01

Defining Capacitance

A capacitor is a device that can retain energy, in an electrical circuit and its ability to store energy in the form of charge is known as capacitance.

02

does capacitance depend upon stored charge and the potential difference?

The capacitance of a capacitor is solely determined by its shape, size and the material used in it.

For a parallel plate capacitor, the capacitance C, is given as

C=εoAd

where εois the permittivity of free space, A is the area between two parallel plates and d is the distance between two parallel plates.

As, changing the applied voltage results in more charge being accumulated on the capacitor plates. Their ratio remains the same, which is the capacitance.

Therefore, the capacitance of a device does not depend on the applied voltage and the charge stored in it.

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Most popular questions from this chapter

(a) What is the potential between two points situated \(10{\rm{ }}cm\) and \(20{\rm{ }}cm\) from a \(3.0{\rm{ }}\mu C\) point charge? (b) To what location should the point at \(20{\rm{ }}cm\) be moved to increase this potential difference by a factor of two?

The voltage across a membrane forming a cell wall is \(80.0{\rm{ }}mV\) and the membrane is \(9.00{\rm{ }}nm\) thick. What is the electric field strength? (The value is surprisingly large, but correct. Membranes are discussed in Capacitors and Dielectrics and Nerve Conduction—Electrocardiograms.) You may assume a uniform electric field.

A165μFcapacitor is used in conjunction with a motor. How much energy is stored in it when 119 Vis applied?

(a) What is the energy stored in the 10.0μFcapacitor of a heartdefibrillator charged to 9.00×103V? (b) Find the amount of storedcharge.

Two parallel conducting plates are separated by \(10.0{\rm{ }}cm\), and one of them is taken to be at zero volts. (a) What is the electric field strength between them, if the potential \(8.00{\rm{ }}cm\) from the zero-volt plate (and \(2.00{\rm{ }}cm\) from the other) is \(450{\rm{ }}V\)? (b) What is the voltage between the plates?
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