NEET-XII-Physics
P1 year:2019
- #36Two parallel infinite line charges with linear
charge densities +``\lambda`` C/m and -``\lambda`` C/m are
placed at a distance of 2R in free space. What
is the electric field mid-way between the two
line charges?
(1) Zero
(2)``\frac{2\lambda}{\pi\varepsilon _0 R}`` N/C
(3)``\frac{\lambda}{\pi\varepsilon _0 R}``N/C
(4)``\frac{\lambda}{2\pi\varepsilon _0 R}``N/CdigAnsr: 3Ans : ( 3 )
Sol. -
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-
+
+
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+
+
-+
(1)(2)
R E2
E
1
X-X
Electric field due to line charge (1)
=
1
0
ˆE i N /C
2 R
Electric field due to line charge (2)
=
2
0
ˆE i N /C
2 R
= +
net 1 2
E E E
=
+
0 0
ˆ ˆi i
2 R 2 R
=
0
î N /C
R