SATHEE: Electrostatics Question 796

Electrostatics Question 796

Question: Two identical thin rings each of radius R meters are coaxially placed at a distance R meters apart. If $Q_{1}$ coulomb and $Q_{2}$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the center of one ring to that of other is

Options:

A) zero

B) $\frac{q (Q_{1} - Q_{2}) (\sqrt{2} - 1)}{\sqrt{2} .4 π ε_{0} R}$

C) $\frac{q \sqrt{2} (Q_{1} + Q_{2})}{4 π ε_{0} R}$

D) $\frac{q (Q_{1} + Q_{2}) (\sqrt{2} + 1)}{\sqrt{2} .4 π ε_{0} R}$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Work done $W_{21} = (V_{1} - V_{2}) q$

$V = \frac{1}{4 π \in_{0}} [\frac{Q_{1}}{R} + \frac{Q_{2}}{\sqrt{2} R}]$ and $V_{2} = \frac{1}{4 π \in_{0}} [\frac{Q_{2}}{R} + \frac{Q_{1}}{\sqrt{2} R}]$

$Thus, W_{21} = \frac{q (Q_{1} - Q_{2}) (\sqrt{2} - 1)}{\sqrt{2} .4 π \in_{0} R} .$

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Electrostatics Question 796

Question: Two identical thin rings each of radius R meters are coaxially placed at a distance R meters apart. If Q1 coulomb and Q2 coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the center of one ring to that of other is

Options:

Answer:

Solution:

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Question: Two identical thin rings each of radius R meters are coaxially placed at a distance R meters apart. If $Q_{1}$ coulomb and $Q_{2}$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the center of one ring to that of other is