First slide

Electric dipole

Question

A is a point on the axis of the electric dipole as shown in figure. Distance $O A = γ$ B is another point at a distance $γ$ from the center O of the Q dipole. If electric potential at A is 1 volts, potential at B is

Moderate

A

0.5 volt
B

2 volt
C

0.75 volt
D

1 volt

Solution

$V_{A} = \frac{1}{4 π \in_{0}} \frac{p}{γ^{2}} a n d V_{B} = \frac{1}{4 π \in_{0}} \frac{p \cos 60^{o}}{γ^{2}}$
$∴ V_{B} = V_{A} . \cos 60^{o} = 1 \times \frac{1}{2} volt = 0.5 volt$

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