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Two charged c...

Question

Two charged conducting spheres of radii $R_{1}$ and $R_{2}$ . separated by a large distance. are connected by a long wire. The ratio of the charges on them is

\frac{R_{1}}{R_{2}}

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\frac{R_{2}}{R_{1}}

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\frac{R_{1}^{2}}{R_{7}^{2}}

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\frac{R_{2}^{2}}{R_{1}^{2}}

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Solution

The correct option is A $\frac{R_{1}}{R_{2}}$
Let initial changes are $R_{1}, R_{2}$
& final charge $θ_{1}^{'} + θ_{2}^{'}$
$\begin{matrix} θ_{1} + θ_{2} = θ_{1}^{'} + θ_{2}^{'} . . . . . . . . . . . (1) \frac{k θ_{1}^{'}}{R_{1}} = \frac{k θ_{2}^{'}}{R_{2}} \Rightarrow \frac{θ_{1}^{'}}{θ_{2}^{'}} = \frac{R_{1}}{R_{2}} \end{matrix}$
$∴$ Option $A$ is correct.

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Similar questions

Two conducting spheres of radii $r_{1}$ and r₂ are at the same potential. Their charges are in the ratio of

r_{1}, r_{2}

r_{1} < r_{2}

r_{1}

r_{2}

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R_{1} < R_{2}

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R_{1} < r < R_{2}

A

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