Question

In the given figure a capacitors of plate area A is charged upto charge q. The mass of each plate is m₂. The lower plate is rigidly fixed. Find the value of m₁ so that the system remain in equilibrium–

• A. m₂ + $\frac { \mathrm { q } ^ { 2 } } { \varepsilon _ { 0 } \mathrm { Ag } }$
• B. m₂
• C. + m₂
• D. None of these

Answer 1

Answer: (A)

m₂ + $\frac { \mathrm { q } ^ { 2 } } { \varepsilon _ { 0 } \mathrm { Ag } }$

Answer 2

Now T = m₂g + F_elec ...(1)

T = m₁g .......(2)

m₁g = m₂g + $\frac { \mathrm { q } ^ { 2 } } { 2 \mathrm {~A} \varepsilon _ { 0 } }$

m₁ = m₂ + $\frac { \mathrm { q } ^ { 2 } } { 2 \mathrm {~A} \varepsilon _ { 0 } \mathrm {~g} }$