Q.

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.Δrsin⁡30∘⇒     E=ΔVΔrsin⁡30∘⇒     E=(20−10)10×10−2sin⁡30∘⇒     E=1010×10−2sin⁡30∘=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.
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Equipotential surfaces are shown in figure. Then the electric field strength will be