Rankers Physics

Electric Potential: Practice Problem & Solution

In a certain region of space with volume $0.2 \text{ m}^3$, the electric potential is found to be $5 \text{ V}$ throughout. The magnitude of electric field in this region is: (2020)
$0.5 \text{ N/C}$
$1 \text{ N/C}$
$5 \text{ N/C}$
Zero

Solution Explained:

To solve this problem, we apply the core principles of Electric Potential. Understanding the underlying formula is key to arriving at the correct answer below:

The relationship between electric field and potential is $E = -\frac{dV}{dr}$. Since the electric potential $V$ is constant at $5 \text{ V}$ throughout the region, the gradient $\frac{dV}{dr}$ is zero. Therefore, the magnitude of the electric field is zero.

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