First slide

Equipotential surfaces

Question

Uniform electric field of magnitude 100 V/m in space is directed along the line y = 3 + x. Find the potential difference between point (3, 1) & (1, 3)

Moderate

A

100 V
B

$200 \sqrt{2} V$
C

200 V
D

0

Solution

Slope electric field lines $m_{1} = 1$ and slope of the line joining points (3,1) and (1,3) is $m_{2} = \frac{3 - 1}{1 - 3} = - 1$ .
Since $m_{1} \times m_{2} = - 1, t h e l i n e j o i n i n g t h e p o i n t s m u s t b e a n e q u i p o t e n t i a l s u r f a c e .$

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