Question

Assume that and electric field $\underset{E}{\to }=30x^{2}i$ exists is space. Then the potential difference $V_A–V_0$ is:
(where $V_0$ is the potential at the origin and $V_A$ is the potential at x = 2m)

• A. 80 V
• B. 120 V
• C. -120 V
• D. -80 V

Answer 1

The correct option is D -80 V

As $\int dV=-\int Edr$
$=-\int 30x^{2}dr$

After integrating for the range of 0 to 2m, we will get the potential difference as -80 V.