SATHEE: Electrostatics Question 749

Electrostatics Question 749

Question: Charge +q and -q are placed at points A and B respectively which are a distance 2L apart, C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is

Options:

A) $\frac{q Q}{2 π ε_{0} L}$

B) $\frac{q Q}{3 π ε_{0} L}$

C) $- \frac{q Q}{6 π ε_{0} L}$

D) $\frac{q Q}{4 π ε_{0} L}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Potential at $C = V_{C} = 0$

Potential at $D = V_{D}$

$= k (\frac{- q}{L}) + \frac{k q}{3 L}$

$= - \frac{2}{3} \frac{k q}{L}$

Potential difference $V_{D} - V_{C} = \frac{- 2}{3} \frac{k q}{L} = \frac{1}{4 π ε_{0}} (- \frac{2}{3} . \frac{q}{L})$

$\Rightarrow Work done = Q (V_{D} - V_{C})$

$= - \frac{2}{3} \times \frac{1}{4 π ε_{0}} \frac{q Q}{L} = \frac{- q Q}{6 π ε_{0} L}$

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Electrostatics Question 749

Question: Charge +q and -q are placed at points A and B respectively which are a distance 2L apart, C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is

Options:

Answer:

Solution:

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