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Q.

A uniform electric field of 100 Vm^-1 is directed at 30⁰ with the positive x-axis as shown in figure. OA=2 m and OB=4m
The potential difference $V_{O} - V_{A}$ is

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a

$200 \sqrt{3} V$

b

$- 100 \sqrt{3} V$

c

$- 200 \sqrt{3} V$

d

$100 \sqrt{3} V$

answer is C.

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Detailed Solution

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$d_{1} = A O \cos 30^{\circ} = 2 \sqrt{3} / 2 = \sqrt{3} m$
$d_{2} = B O \sin 30^{\circ} = 4 \times \frac{1}{2} = 2 m$

$V_{A} - V_{0} = E d_{1} = 100 \sqrt{3} V$
$V_{0} - V_{A} = - 100 \sqrt{3} V$

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A uniform electric field of 100 Vm-1 is directed at 300 with the positive x-axis as shown in figure. OA=2 m and OB=4mThe potential difference VO−VA is