First slide

Electrostatic potential

Question

If Electric field directed parallel to axis is represented by graph, and potential at origin is taken as zero. Find potential at x = 8 m

Moderate

A

-90 V
B

-100 V
C

80 V
D

-80 V

Solution

$\int d V = - \int_{x = 0}^{x = 8} E d x = - (a r e a u n d e r t h e g r a p h)$
$\Rightarrow V - 0 = - [(10 \times 2) + \frac{1}{2} (10 + 20) (2) + \frac{1}{2} (20 \times 4)] = - 90$
$\Rightarrow V = - 90 V$

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