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Question

Question: Two unlike charges of the same magnitude Q are placed at a distance d. The intensity of the electric...

Two unlike charges of the same magnitude Q are placed at a distance d. The intensity of the electric field at the middle point in the line joining the two charge is –

A

Zero

B

8Q4πε0d2\frac{8Q}{4\pi\varepsilon_{0}d^{2}}

C

6Q4πε0d2\frac{6Q}{4\pi\varepsilon_{0}d^{2}}

D

4Q4πε0d2\frac{4Q}{4\pi\varepsilon_{0}d^{2}}

Answer

8Q4πε0d2\frac{8Q}{4\pi\varepsilon_{0}d^{2}}

Explanation

Solution

ENet = E1 + E2 = kQ(d2)2\frac { \mathrm { kQ } } { \left( \frac { \mathrm { d } } { 2 } \right) ^ { 2 } } + kQ(d2)2\frac { \mathrm { kQ } } { \left( \frac { \mathrm { d } } { 2 } \right) ^ { 2 } } =