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Q.

Two infinite linear charges are placed parallel to each other at a distance $0.1 m$ from each other. If the linear charge density on each is $5 μ C / m$ , then the force acting on a unit length of each linear charge is _______ $N / m$ .

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a

4.2

b

4.8

c

4.6

d

4.5

answer is D.

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Detailed Solution

The field due to long linear charge at a distance ‘d’ from it $= \frac{2 K λ}{d}$

Charge per unit length on the other charge $= λ$

Force between two line charges on a unit length is

$= \frac{2 k λ}{d} . λ = \frac{2 \times 9 \times 10^{9} \times {(5 \times 10^{- 6})}^{2}}{0.1} = 4.5 N / m$

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Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5μC/m, then the force acting on a unit length of each linear charge is _______ N/m.