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Q.

Three charges −q,+q and +q are situated in X−Y plane at points (0,−a),(0,0) and (0,a) respectively. The potential in xy plane at a distant point r (r > > a) in a direction making an angle θ from the Y-axis :

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a

q4πε0r+qacos⁡θ4πε0r2

b

q4πε0r+qacos⁡θ2πε0r2

c

q4πε0r+qasin⁡θ4πε0r2

d

q4πε0r+qasin⁡θ2πε0r2

answer is B.

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Detailed Solution

V = potential due to the point charge q at the origin+ potential due to dipole=Kqr+KPcosθr2 = q4π∈0r+14π∈02aqcos θr2

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Three charges −q,+q and +q are situated in X−Y plane at points (0,−a),(0,0) and (0,a) respectively. The potential in xy plane at a distant point r (r > > a) in a direction making an angle θ from the Y-axis :