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Q.

Equipotential surfaces are shown in figure. Then the electric field strength will be

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a

100 vm-1 along X-axis

b

100 vm-1 along Y-axis

c

200 vm-1 at an angle 120° with X-axis

d

50 vm-1 at an angle 120° with X-axis

answer is C.

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Detailed Solution

Using dV=-E→·dr→ ⇒ΔV=-E.Δrcosθ ⇒E=-ΔVΔrcosθ ⇒E=-(20-10)10×10-2cos120° =-1010×10-2-sin30°=-102-1/2=200 V/mDirection of E be perpendicular to the equipotential surface i.e., at 120° with x-axis.
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