A Charged wire is bent in the from of a semi-circular arc of radius a. If charge per unit length is λ coulomb/meter, the electric field at the centre O is
A
B
C
D
zero
Text Solution
Verified by ExpertsThe correct answer is:
C
Considering symmetric elements each of length dI at A and B, we note that electric fields perpendicular to PO are cancelled and those along PO are added. The electric field due to an element of length dI (adθ) along PO.
dE = 
cosθ (dI = adθ)
= 
cosθ
= cosθ
Net electric field at O
E = 
= 2 
= 2. 
= 2. 
. 
.1 = 
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