Question

A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If x is the separation between the plates at any time the time rate of change of electrostatic energy of capacitor is proportional to-

• A. x^–2
• B. x
• C. x^–1
• D. x²

Answer 1

Answer: (A)

x^–2

Answer 2

e = $\frac { 1 } { 2 }$ $\frac { \varepsilon _ { 0 } \mathrm {~A} } { \mathrm { x } }$ V²

$\frac { \mathrm { d } \varepsilon } { \partial \mathrm { t } }$ = $\frac { 1 } { 2 }$ $\frac { \varepsilon _ { 0 } \mathrm {~A} } { \mathrm { x } ^ { 2 } }$ V²

$\frac { \mathrm { d } \varepsilon } { \partial \mathrm { t } }$ µ µ x^–2