Answer :

(i)

The value of and

Given

The area and separation between the two plates/ capacitor X and Y are same, the dielectric medium of . The equivalent capacitance of the combination is . The circuit diagram 15.1 is given as

Formula Used

To find the capacitance of the capacitor we use the formula of generalised equation of capacitance as

where

is the permittivity of the free space, is the relative permittivity, A is the area of the plate, d is the distance between the plates.

Therefore, the capacitance of each capacitor if the equivalent capacitor is

Capacitance of plate Y is

Capacitance of plate X is

Therefore, the capacitance equivalent is

Therefore, after calculation the value of and

(ii) The potential difference is

Given

The area and separation between the two plates/ capacitor X and Y are same, the dielectric medium of. The equivalent capacitance of the combination is . The circuit diagram 15.1 is given as

Formula Used

The formula used is the capacitance formula which is the ratio of the charge by voltage across the plate.

where

C is the capacitance, V is the voltage, Q is the charge supplied.

The of the circuit is

The potential difference between the plates is

After solving we get the value of the voltages as

(iii)

The ratio of the electrostatic energy stored is 2:3

Given

The area and separation between the two plates/ capacitor X and Y are same, the dielectric medium of . The equivalent capacitance of the combination is . The circuit diagram 15.1 is given as

Formula Used

The ratio of the capacitance is equivalent to the ratio of the energy of the plates which is

where

C is the capacitance, E is the energy, Q is the charge supplied.

The ratio of the energy on the plate is

Therefore, the ratio of the electrostatic energy stored is 2:3

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