NEET Solved Paper 2019 Question 20
Question: Two parallel infinite line charges with linear charge densities +λ C/m and -λ C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges? [NEET 5-5-2019]
Options:
A) $ \frac{\lambda }{\pi {\in_0}R}N/C $
B) $ \frac{\lambda }{2\pi {\in_0}R}N/C $
C) Zero
D) $ \frac{2\lambda }{\pi {\in_0}R}N/C $
Show Answer
Answer:
Correct Answer: B
Solution:
- At $ P,E=E _1+E _2=\frac{2k{\lambda_1}}{R}+\frac{2k{\lambda_2}}{R} $
$ \therefore {\lambda_1}={\lambda_2} $ $ \frac{4K\lambda }{R}=\frac{\lambda }{\pi {\in_0}R} $