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# An Infinite Line Charge Produces a Field of 9 × 10^4 N/C at a Distance of 2 cm. Calculate the Linear Charge Density. - CBSE (Science) Class 12 - Physics

ConceptElectric Field Electric Field Due to a System of Charges

#### Question

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

#### Solution

Electric field produced by the infinite line charges at a distance d having linear charge density λ is given by the relation,

E=lambda/(2piin_0d)

lambda=2piin_0dE

Where,

d = 2 cm = 0.02 m

E = 9 × 104 N/C

0 = Permittivity of free space

1/(4piin_0) = 9 × 109 N m2 C−2

lambda=(0.02xx9xx10^4)/(2xx9xx10^9)

= 10 μC/m

Therefore, the linear charge density is 10 μC/m.

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#### APPEARS IN

NCERT Solution for Physics Textbook for Class 12 (2018 to Current)
Chapter 1: Electric Charge and Fields
Q: 23 | Page no. 48
Solution An Infinite Line Charge Produces a Field of 9 × 10^4 N/C at a Distance of 2 cm. Calculate the Linear Charge Density. Concept: Electric Field - Electric Field Due to a System of Charges.
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