Two hollow conducting spheres of radii and have equal charges. The potential would be [2022]

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Q.
Two hollow conducting spheres of radii $R_{1}$ and $R_{2} (R ₁ > > R ₂)$ have equal charges. The potential would be [2022]

1 more on bigger sphere

2 more on smaller sphere

3 equal on both the spheres

4 dependent on the material property of the sphere.

Ans.
(2)

The electrical potential at the surface of a hollow sphere is, $V = \frac{k q}{R}$

For sphere 1, $V_{1} = \frac{k q}{R_{1}}$ ...(i)

For sphere 2, $V_{2} = \frac{k q}{R_{2}}$ ...(ii)

As $R_{1} ≫ R_{2}$ , therefore, $V_{1} ≪ V_{2}$ .
Hence, potential is more on smaller sphere.

Solution

Q.
Two hollow conducting spheres of radii $R_{1}$ and $R_{2} (R ₁ > > R ₂)$ have equal charges. The potential would be [2022]

1 more on bigger sphere

2 more on smaller sphere

3 equal on both the spheres

4 dependent on the material property of the sphere.

Ans.
(2)

The electrical potential at the surface of a hollow sphere is, $V = \frac{k q}{R}$

For sphere 1, $V_{1} = \frac{k q}{R_{1}}$ ...(i)

For sphere 2, $V_{2} = \frac{k q}{R_{2}}$ ...(ii)

As $R_{1} ≫ R_{2}$ , therefore, $V_{1} ≪ V_{2}$ .
Hence, potential is more on smaller sphere.

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Solution

Q. Two hollow conducting spheres of radii R1 and R2(R₁>>R₂) have equal charges. The potential would be [2022]

1 more on bigger sphere

2 more on smaller sphere

3 equal on both the spheres

4 dependent on the material property of the sphere.

Ans. (2) The electrical potential at the surface of a hollow sphere is, V=kqR For sphere 1, V1=kqR1 ...(i) For sphere 2, V2=kqR2 ...(ii) As R1≫R2, therefore, V1≪V2. Hence, potential is more on smaller sphere.

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Q.
Two hollow conducting spheres of radii $R_{1}$ and $R_{2} (R ₁ > > R ₂)$ have equal charges. The potential would be [2022]

Ans.
(2)

The electrical potential at the surface of a hollow sphere is, $V = \frac{k q}{R}$

For sphere 1, $V_{1} = \frac{k q}{R_{1}}$ ...(i)

For sphere 2, $V_{2} = \frac{k q}{R_{2}}$ ...(ii)

As $R_{1} ≫ R_{2}$ , therefore, $V_{1} ≪ V_{2}$ .
Hence, potential is more on smaller sphere.