First slide

Electrostatic potential

Question

In a region of space the value of electrostatic potential at each of the points (1,0,0), (0,1,0), (0,0,1) is 8 volt. The value of the electrostatic potential at the origin of coordinate (0,0,0) is 10 Volt. Find the value of electrostatic potential at point (1,1,1)

Moderate

A

2 Volt
B

4 Volt
C

8 Volt
D

6 Volt

Solution

$E_{x} = E_{y} = E_{y} = \frac{- (8 - 10)}{1} = 2$
Now applying the relation between field intensity and potential between the points (0,0,0) and (1,1,1)
$d V = - \vec{E} . \vec{d r} \Rightarrow V - 10 = - (2 \hat{i} + 2 \hat{j} + 2 \hat{k}) . (\hat{i} + \hat{j} + \hat{k}) \Rightarrow V = 4 V o l t$

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