Electrostatics Question 724

Question: Find the force experienced by a semicircular rod having a charge q as shown in Fig. Radius of the wire is R, and the line of charge with linear charge density λ passes through its center and is perpendicular to the plane of wire.

Options:

A) λq2π2ε0R

B) λqπ2ε0R

C) λq4π2ε0R

D) λq4πε0R

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Fnet=dqEcosθ

=π/2π/2(qπR)Rdθλ2πεRcosθ

=λq2π2ε0Rπ/2π/2cosθdθ=λq2π2ε0R[sinθ]π/2π/2

=λq2π2ε0R[1(1)]=λqπ2ε0R



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