Equipotential surfaces are shown in figure. Then the electric field strength will be
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a
100Vm−1 along X -axis
b
100Vm−1 along Y -axis
c
200Vm−1 at an angle 120∘ with X -axis
d
50Vm−1 at an angle 120∘ with X -axis
answer is C.
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Detailed Solution
Using △V=−E→⋅r→⇒ ΔV=E.Δrsin30∘⇒ E=ΔVΔrsin30∘⇒ E=(20−10)10×10−2sin30∘⇒ E=1010×10−2sin30∘=1021/2=200V/mDirection of E→ be perpendicular to the equipotential surface and towards the decreasing value of potential i.e. at 120° (90+30)with x-axis.