Two charges $2 \;\mu\, C$ and $-2\; \mu \,C$ are placed at points $A$ and $B\;\; 6 \;cm$ apart.

$(a)$ Identify an equipotential surface of the system.

$(b)$ What is the direction of the electric field at every point on this surface?

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$(a)$ The situation is represented in the given figure.

An equipotential surface is the plane on which total potential is zero everywhere. This plane is normal to line $AB.$ The plane is located at the mid-point of line $AB$ because the magnitude of charges is the same.

$(b)$ The direction of the electric field at every point on this surface is normal to the plane in the direction of $AB.$

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Similar Questions

Electric field is always ...... to the equipotential surface at every point. (Fill in the gap)

Two point charges of magnitude $+q$ and $-q$ are placed at $\left( { - \frac{d}{2},0,0} \right)$ and $\left( {\frac{d}{2},0,0} \right)$, respectively. Find the equation of the equipotential surface where the potential is zero.

Assertion $(A):$ A spherical equipotential surface is not possible for a point charge.

Reason $(R):$ A spherical equipotential surface is possible inside a spherical capacitor.

  • [AIIMS 2015]

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