The assertion and the reason are both correct, but the reason does not correctly explain the assertion.

Assertion: When a charged capacitor is disconnected from a battery and its plates are separated farther, the potential energy does indeed increase, not fall. This is because the work done to move the plates apart is stored as potential energy in the electric field between the plates.

Reason: The energy stored in a capacitor is equal to the work done in charging it. This is a correct statement. The work done to charge a capacitor is used to create an electric field between the plates, and this energy is stored in the capacitor.

However, the reason does not correctly explain the assertion because it does not address the effect of increasing the separation of the plates on the stored energy. The energy stored in a capacitor is given by the equation U = 1/2 * C * V^2, where U is the stored energy, C is the capacitance, and V is the voltage. When the plates are moved farther apart, the capacitance C decreases, but the voltage V remains the same because the capacitor is disconnected from the battery. Therefore, the stored energy U increases.

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The assertion and the reason are both correct, but the reason does not correctly explain the assertion.

Assertion: When a charged capacitor is disconnected from a battery and its plates are separated farther, the potential energy does indeed increase, not fall. This is because the work done to move the plates apart is stored as potential energy in the electric field between the plates.

Reason: The energy stored in a capacitor is equal to the work done in charging it. This is a correct statement. The work done to charge a capacitor is used to create an electric field between the plates, and this energy is stored in the capacitor.

However, the reason does not correctly explain the assertion because it does not address the effect of increasing the separation of the plates on the stored energy. The energy stored in a capacitor is given by the equation U = 1/2 * C * V^2, where U is the stored energy, C is the capacitance, and V is the voltage. When the plates are moved farther apart, the capacitance C decreases, but the voltage V remains the same because the capacitor is disconnected from the battery. Therefore, the stored energy U increases.

Knowee AI · Accepted Answer

The assertion and the reason are both correct, but the reason does not correctly explain the assertion.

Assertion: When a charged capacitor is disconnected from a battery and its plates are separated farther, the potential energy does indeed increase, not fall. This is because the work done to move the plates apart is stored as potential energy in the electric field between the plates.

Reason: The energy stored in a capacitor is equal to the work done in charging it. This is a correct statement. The work done to charge a capacitor is used to create an electric field between the plates, and this energy is stored in the capacitor.

However, the reason does not correctly explain the assertion because it does not address the effect of increasing the separation of the plates on the stored energy. The energy stored in a capacitor is given by the equation U = 1/2 * C * V^2, where U is the stored energy, C is the capacitance, and V is the voltage. When the plates are moved farther apart, the capacitance C decreases, but the voltage V remains the same because the capacitor is disconnected from the battery. Therefore, the stored energy U increases.

Assertion: A charged capacitor is disconnected from a battery. Now if its plate are separated farther, the potential energy will fall.Reason: Energy stored in a capacitor is equal to the work done in charging it.

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