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Question

An infinite line charge produces a field of 9×104N/C at a distance of 2 cm. Calculate the linear charge density.

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Solution

Step 1: Electric field due to infinite line charge
Electric field due to infinite line charge is given by:
E=λ2π0d
λ=2π0E d ....(1)

Where λ is the linear charge density and d is the perpendicular distance of point from the infinite line charge.

Step 2: Substituting the values
14π0=9×109Nm2C2
2π0=118×109Nm2C2

From Eq (1): λ=1×9×104 NC1×0.02m18×109 Nm2C2=107 Cm1


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