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Physics · 2023 · 3 marks
CBSE 2023 · Region 2 · Set 1 · Q26
(a) Two charged conducting spheres of radii a and b are connected to each other by a wire. Find the ratio of the electric fields at their surfaces.
Two charged conducting spheres of radii a and b are connected to each other by a wire. Find the ratio of the electric fields at their surfaces.
A parallel plate capacitor (A) of capacitance C is charged by a battery to voltage V . The battery is disconnected and an uncharged capacitor
(B)
of capacitance $\displaystyle 2$ C is connected across A . Find the ratio of
(i)
final charges on A and B .
(ii)
total electrostatic energy stored in A and B finally and that stored in A initially.
Marking-scheme solution
When connected by a conducting wire both spheres will be at the same potential.
\(\displaystyle \therefore \quad k \frac{q_{1}}{a}=k \frac{q_{2}}{b}\)
\(\displaystyle \therefore \frac{q_{1}}{q_{2}}=\frac{a}{b}\)
\(\displaystyle \frac{E_{1}}{E_{2}}=\frac{k \dfrac{q_{1}}{a^{2}}}{k \dfrac{q_{2}}{b^{2}}}\)
\(\displaystyle \frac{E_{1}}{E_{2}}=\frac{b}{a}\)
OR
\begin{itemize}
\item[(b)]
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