Electric Potential at a Point in Space Due to a Point Charge Q
Four electric...
Question
Four electric charges +q,+q,−q and −q are placed at the corners of a square of side 2L (see figure). The electric potential at point A (midway between the two charges +q and −q ) is
A
14π∈02qL(1+√5)
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B
14π∈02qL(1+1√5)
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C
14π∈02qL(1−1√5)
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D
Zero
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Solution
The correct option is C14π∈02qL(1−1√5)
Let VA= potential at A due to all charges VMA= potential at A due to charge at M VNA= potential at A due to charge at N VOA= potential at A due to charge at O VPA= potential at A due to charge at P Distance between N and A= Distance between O and A=√(2L)2+L2=L√5 VA=VMA+VPA+VNA+VOA ⇒VA=kqL+kqL−kqL√5−kqL√5⇒VA=14πε02qL(1−1√5)