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A uniform electric field of 500 V/m is directed at 150° to the positive X-axis, in the X-Y plane as shown in figure : Mark the correct statements.

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If the coordinates of A and B are (4 cm, 0) and (3 cm, 0), then the potential difference $V_{A} - V_{B}$ will be 4.3 V

The given electric field could be in a spherical cavity of a uniformly charged sphere.

The given electric field could be due to infinite uniformly charged sheet.

If the coordinates of A and B are (4 cm, 0) and (-3 cm, 0), then the potential difference $V_{A} - V_{B}$ will be 30.3 V

answer is A, B, C, D.

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Detailed Solution

$V_{A} - V_{B} = (E \cos 30) (A B)$

$= 500 \times \frac{\sqrt{3}}{2} \times 7 \times 10^{- 2}$

$= 2.5 \times 1.732 \times 7 = 30.31$

$V_{A} - V_{B} = 500 \frac{\sqrt{3}}{2} \times 1 \times 10^{- 2} = 4.33$

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