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Standard XII

Physics

Using Lenz's Law

There are two...

Question

There are two concentric metal shells of radii $r_{1}$ and $r_{2}$ (> $r_{1}$ ). If the outer shell has a charge q and the inner shell is grounded, the charge on the inner shell is

zero

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r_{1}

r_{2}

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r_{1}

r_{2}

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None of thee

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Solution

The correct option is B -( $r_{1}$ / $r_{2}$ )q
Potential at the surface of $r_{2}$ (sphere)
$= \frac{K q}{r_{2}}$
Potential at $r_{1} = 0$
$U_{r 1} = 0$
Also, $U_{r 1} = \frac{K q_{1}}{r_{1}} + \frac{K q_{2}}{r_{2}}$
$0 = \frac{K q_{1}}{r_{1}} + \frac{K q_{2}}{r_{2}}$
$\Rightarrow q_{1} = (- \frac{r_{1}}{r_{2}} q_{2})$
$= (- \frac{r_{1}}{r_{2}}) q$

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There are two concentric metal shells of radii r1 and r2(>r1). If the outer shell has a charge q and the inner shell is grounded, the charge on the inner shell is

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There are two concentric metal shells of radii $r_{1}$ and $r_{2}$ (> $r_{1}$ ). If the outer shell has a charge q and the inner shell is grounded, the charge on the inner shell is