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Standard XII

Physics

Properties of Charges

Two spherical...

Question

Two spherical conductors A and B of radii $1 m m$ and $2 m m$ are separated by a distance of $5 c m$ and are uniformly charged. If the spheres are connected by a conducting wire, then in the equilibrium condition, find $\frac{E_{1}}{E_{2}}$ .

4 : 1

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1 : 2

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2 : 1

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1 : 4

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Solution

The correct option is C $2 : 1$
When the two conducting spheres are connected by a conducting wire, charge will flow from one sphere (having higher potential) to another sphere (having lower potential) till both the spheres acquire the same potential.

So in equilibrium, potential will be same for the two spheres.

As $E = \frac{V}{r}$ ,
$∴$ $\frac{E_{1}}{E_{2}} = \frac{r_{2}}{r_{1}} = \frac{2}{1}$

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Two spherical conductors A and B of radii 1 mm and 2 mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire, then in the equilibrium condition, find E1E2.

Two spherical conductors A and B of radii $1 m m$ and $2 m m$ are separated by a distance of $5 c m$ and are uniformly charged. If the spheres are connected by a conducting wire, then in the equilibrium condition, find $\frac{E_{1}}{E_{2}}$ .