Home Physics Electrostatics Potential & Capacitance NCERT A semicircular wire is uniformly charged wit…
Physics Electrostatics Potential & Capacitance NCERT MCQ (Single Correct)

A semicircular wire is uniformly charged with linear charge density dependent on the angle θ from y ‐direction as , where is a constant. The electric field intensity at the centre of the arc is

A
B
C
D

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The correct answer is:
B

Lets take an element at angle θ with vertical, subtending dθ angle electric field due to this element

horizontal component will be cancelled out with opposite element, and components get added up

So

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