Two charged parallel plate capacitors, each with separation betwe… - Vidyadip

MCQ

Two charged parallel plate capacitors, each with separation between plates equal to $d$, are separated by a large distance $L >> d$. Then the force of interaction between them is proportional to

A
$1/{d^2}$
✓
${d^2}/{L^4}$
C
$1/{d^3}$
D
${d^2}/{L^3}$

✓

Answer

Correct option: B.

${d^2}/{L^4}$

b
For large separation capacitor can be treated as dipole and dipole moment $\propto$ $\mathrm{d}$

Force $\propto \frac{\mathrm{p}_{1} \mathrm{p}_{2}}{\mathrm{L}^{4}} \Rightarrow \mathrm{F} \propto \frac{\mathrm{d}^{2}}{\mathrm{L}^{4}}(\because \mathrm{p} \propto \mathrm{d})$

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