SATHEE: Electrostatics Question 660

Electrostatics Question 660

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 centre of one ring to that of other is

Options:

A) Zero

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

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

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

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Answer:

Correct Answer: B

Solution:

[b] $W = q (V_{O 2} - V_{O 1})$

Where $V_{O_{1}} = \frac{Q_{1}}{4 π ε_{0} R} + \frac{Q_{2}}{4 π ε_{0} R \sqrt{2}}$

And $V_{O_{2}} = \frac{Q_{2}}{4 π ε_{0} R} + \frac{Q_{1}}{4 π ε_{0} R \sqrt{2}}$

$\Rightarrow V_{O_{2}} - V_{O_{1}} = \frac{(Q_{2} - Q_{1})}{4 π ε_{0} R} [1 - \frac{1}{\sqrt{2}}]$ So, $W = \frac{q . (Q_{2} - Q_{1})}{4 π ε_{0} R} \frac{(\sqrt{2} - 1)}{\sqrt{2}}$

Electrostatics Question 660

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 centre of one ring to that of other is

Options:

Answer:

Solution:

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Electrostatics Question 660

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 chargeq from the centre of one ring to that of other is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video 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 centre of one ring to that of other is