In which of the following cases is the stored | vedclass

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(B) The energy stored in a capacitor is given by $U = \frac{q^2}{2C}$. To maximize the energy $U$,we need to minimize the capacitance $C$ for a given

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(B) The energy stored in a capacitor is given by $U = \frac{q^2}{2C}$. To maximize the energy $U$,we need to minimize the capacitance $C$ for a given charge $q$.For a spherical capacitor with inner radius $a$ and outer radius $b$,the capacitance is $C = \frac{4\pi \epsilon_0 ab}{b-a}$.In case $B$,the outer sphere is grounded,forming a standard spherical capacitor with $C_B = \frac{4\pi \epsilon_0 ab}{b-a}$.In case $C$,the inner sphere is grounded,and the charge $q$ is on the outer sphere. The capacitance is $C_C = \frac{4\pi \epsilon_0 b^2}{b-a}$.Comparing the two,$C_C > C_B$ because $b > a$. Since $U = \frac{q^2}{2C}$,a smaller capacitance results in a larger stored energy.Therefore,the configuration with the smallest capacitance (Case $B$) will store the maximum energy for a given charge $q$ on the inner sphere.

In which of the following cases is the stored energy maximum?

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