A thin insulating wire is bent into a quarter-circle (arc of ) of radius lying in the…

PHYSICS · Subjective · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

A thin insulating wire is bent into a quarter-circle (arc of

90^{\circ}

) of radius

R

lying in the first quadrant of the

xy

-plane with its centre at the origin. The wire carries a uniform linear charge density

\lambda

. (i) Derive an expression for the magnitude and direction of the electrostatic force acting on a point charge

q

placed at the centre of curvature. (ii) Evaluate the force for

R = 0.12\,\text{m}

\lambda = 5.0\times10^{-6}\,\text{C\,m}^{-1}

and

q = 3.0\times10^{-8}\,\text{C}