Capacitors In Parallel And In Series

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then:

A. the charge stored in it, increases.

B. the energy stored in it, decreases.

C. its capacitance increases.

D. the ratio of charge to its potential remains the same.

E. the product of charge and voltage increases.

Choose the most appropriate answer from the options given below:

Explanation:

Let's analyze each statement:

A. the charge stored in it, increases.

The capacitance of a parallel plate capacitor is given by: $ is the area of the plates and is the distance between them. When the plates are moved closer, decreases, so the capacitance increases. Since , and the voltage is kept constant by the battery, the charge increases. Thus, A is correct.

B. the energy stored in it, decreases.

The energy stored in a capacitor is given by: \) $ Since increases and is constant, the energy increases, not decreases. Thus, B is incorrect.

C. its capacitance increases.

As explained in A, when the plates are moved closer, the capacitance increases. Thus, C is correct.

D. the ratio of charge to its potential remains the same.

The ratio of charge to potential is . Since increases, the ratio also increases, not remains the same. Thus, D is incorrect.

E. the product of charge and voltage increases.

Since and increases, and is constant, the charge increases. Therefore, the product increases. Thus, E is correct.

Conclusion:

The correct statements are A, C, and E.