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Two identical capacitors A and B. A is connected across a battery of 3 V whereas B is connected across a battery of 6 V. A dielectric with a dielectric constant of 2 is inserted in the gap of A. Which one has more charge? A B Both have the same charge Additional information needed to answer.

Answer :

The voltage across capacitor A is half as high as the voltage across capacitor B, but this does not affect the amount of charge stored in the capacitor.Capacitor A has more charge than capacitor B.

Capacitor A the capacitance of capacitor A is doubled when the dielectric is inserted. This is because the dielectric constant of the material is 2, which means that it allows twice as much charge to be stored for a given voltage.

Capacitor B the voltage across capacitor B is twice as high as the voltage across capacitor A. However, the capacitance of capacitor B is the same as the capacitance of capacitor A before the dielectric was inserted.

Charge since the capacitance of capacitor A is doubled, the charge stored in capacitor A is also doubled. The voltage across capacitor A is half as high as the voltage across capacitor B, but this does not affect the amount of charge stored in the capacitor.

A capacitor is an electrical component that can store energy in an electric field. It consists of two conductors (usually metal plates) separated by a dielectric (an insulator). When a voltage is applied to the conductors, an electric field is created between them, and this field stores energy.

The capacitance of a capacitor is determined by the following factors:

The area of the conductors

The distance between the conductors

The dielectric constant of the material between the conductors

The dielectric constant is a measure of how much the dielectric material increases the capacitance of the capacitor. A dielectric constant of 2 means that the capacitance of the capacitor is twice as high when the dielectric is present.

In the case of the two capacitors in your question, capacitor A has a dielectric constant of 2. This means that its capacitance is twice as high as the capacitance of capacitor B.

The voltage across capacitor B is twice that of capacitor A, so the charge on capacitor B is also twice that of capacitor A. However, the capacitance of capacitor B is the same as capacitor A, so the charge on capacitor B is still equal to the charge on capacitor A.

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