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Q.

Four point charges Q1, Q2 , Q3 and Q4 are placed at the four corners A, B, C and D of a rectangle having sides 40 cm and 30 cm as shown in figure. Potential at the centre O is found to be 20 volt. If the charge Q4 at corner D is removed, potential at O is found to be 2 volt. Then the value of Q4 is

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a

0.5 nc

b

2.5 nc

c

3.75 nc

d

6 nc

answer is A.

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Detailed Solution

Length AC=BD=302+402 cm=50 cm.Now, ∴KQ1AO+KQ2BO+KQ3CO+KQ4DO=Vand KQ1AO+KQ2BO+KQ3CO=V|Subtracting, V−V|=KQ4DO⇒20−2=9×109×Q40.25⇒Q4=0.5 nc

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