Question

Equipotential surfaces are shown in the figure. The electric field strength will be: 
 

• A. \( 100 \) V/m along X-axis
• B. \( 100 \) V/m along Y-axis
• C. \( 200 \) V/m at an angle \( 120^\circ \) with X-axis
• D. \( 50 \) V/m at an angle \( 120^\circ \) with X-axis

Hint:

For equipotential surfaces:
- \( \mathbf{E} \) is always perpendicular to equipotential lines.
- The field strength is given by \( E = -\frac{dV}{dx} \).
- Closer equipotentials mean a stronger field.

Answer 1

The Correct Option is C

Step 1: The electric field is given by:
\[ E = -\frac{dV}{dx} \]
Step 2: The potential difference and distance are used to calculate \( E \), and direction is determined by field lines.