Class-12th Physics, CBSE and UP Board
Electric Charges and Fields,
Chapter-1,Exercise -1, Q-1.23
NCERT Solutions for Class 12th Physics
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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Electric field produced by the infinite line charges at a distance d ,having linear charge density λ is given by the relation,
E =λ /2π ε0 d
Therefore λ = 2π ε0 dE
Where d= 2 cm=).02 m and E= 9 x 10⁴ N/C
ε0 = Permittivity of free space and = 9 x 109Nm2C⁻2
Therefore,
λ = (0.02 x 9 x 104)/(2x9x109)
=10µC/m
Therefore, the linear charge density is 10µC/m.