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Electricity and Magnetism

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Calculating the Potential from a Dipole Using Vectors

EANDM-ZYBWL$

A point dipole described by $\vec p = 3 \times 10 ^{-8} \widehat x + 4 \times 10 ^{-8} \widehat y \:\rm C \cdot m$ is located at the origin.

What is the electrostatic potential at $\vec r = 2 \widehat x + 7 \widehat y \:\rm m$ due to this dipole?

A

$ 0 \:\rm V$

B

$ 8.5 \:\rm V$

C

$ 454 \:\rm V$

D

$58 \:\rm V$

E

$ 7.9 \:\rm V$