Assume that an electric field E = 30 x^2 i exists in space. Then … - Vidyadip

MCQ

Assume that an electric field $\overrightarrow E = 30{x^2}\hat i$ exists in space. Then the potential difference $V_A -V_O$, where $V_O$ is the potential at the origin and $V_A$ the potential at $x = 2\, m$ is

✓
$-80$
B
$80$
C
$120$
D
$-120$

✓

Answer

Correct option: A.

$-80$

a
$\int \mathrm{d} \mathrm{v}=-\int \mathrm{E} \mathrm{d} \mathrm{x}$

$\mathrm{V}_{\mathrm{A}}-\mathrm{V}_{0}=-\int_{0}^{2} 30 \mathrm{x}^{2} \mathrm{d} \mathrm{x}$

$=-80$

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