SATHEE: Electrostatics Question 779

Electrostatics Question 779

Question: Three concentric charged metallic spherical shells A, B and C have radii a, b and c; change densities $σ, - σ$ and $σ$ and potentials $V_{A}, V_{B}$ and $V_{C}$ respectively. Then which of the following relations is correct?

Options:

A) $V_{A} = (a + b + c) \frac{σ}{ε_{0}}$

B) $V_{B} = (\frac{a^{2}}{b} - b + c) \frac{σ}{ε_{0}}$

C) $V_{C} = (\frac{a^{2} + b^{2}}{b} + c) \frac{σ}{ε_{0}}$

D) $V_{A} = V_{B} = V_{C} = (a + b + c) \frac{σ}{ε_{0}}$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Potential due to a charged shell at an outside point

$= \frac{1}{4 π ε_{0}} \times \frac{Q}{r}$ While that inside the shell $= \frac{σ R}{ε_{0}}$ ,

where R is the radius of the shell.

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Electrostatics Question 779

Question: Three concentric charged metallic spherical shells A, B and C have radii a, b and c; change densities σ,−σ and σ and potentials VA,VB and VC respectively. Then which of the following relations is correct?

Options:

Answer:

Solution:

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Question: Three concentric charged metallic spherical shells A, B and C have radii a, b and c; change densities $σ, - σ$ and $σ$ and potentials $V_{A}, V_{B}$ and $V_{C}$ respectively. Then which of the following relations is correct?