Find the electric field at point $P$ (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire of length $L$ carrying a charge $Q.$ The distance of the point $P$ from the centre of the rod is $a=\frac{\sqrt{3}}{2} L$.
Find the electric field at point $P$ (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire of length $L$ carrying a charge $Q.$ The distance of the point $P$ from the centre of the rod is $a=\frac{\sqrt{3}}{2} L$.
- [JEE MAIN 2021]
- A
$\frac{\sqrt{3} Q }{4 \pi \varepsilon_{0} L ^{2}}$
- B
$\frac{ Q }{3 \pi \varepsilon_{0} L ^{2}}$
- C
$\frac{Q}{2 \sqrt{3} \pi \varepsilon_{0} L ^{2}}$
- D
$\frac{ Q }{4 \pi \varepsilon_{0} L ^{2}}$
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