The electric intensity due to a dipole of length $10 \mathrm{~cm}$ and having a charge of $500 \mu…
- $6.25 \times 10^{7} \mathrm{~N} / \mathrm{C}$
- $9.28 \times 10^{7} \mathrm{~N} / \mathrm{C}$
- $13.1 \times 10^{11} \mathrm{~N} / \mathrm{C}$
- $20.5 \times 10^{7} \mathrm{~N} / \mathrm{C}$
Solution
where \(\mathrm{p}=\left(500 \times 10^{-6}\right) \times\left(10 \times 10^{-2}\right)=5 \times 10^{-5} \mathrm{Cm}\)
\(\begin{aligned}
\mathrm{r} & =25 \mathrm{~cm}=0.25 \mathrm{~m}, 1=5 \mathrm{~cm}=0.05 \mathrm{~m} \\
\mathrm{E} & =\frac{9 \times 10^9 \times 2 \times 5 \times 10^{-5} \times 0.25}{\left\{(0.25)^2-(0.05)^2\right\}^2} \\
& =6.25 \times 10^7 \mathrm{~N} / \mathrm{C}
\end{aligned}\)Asked in: JEE Mains - Electrostatics - Test 5