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

Numerical

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_0"d")

lambda = 2piin_0"dE"

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 = (0.02 xx 9 xx 10^4)/(2 xx 9 xx 10^9)

= 10 μC/m

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

Concept: Electric Field - Electric Field Due to a System of Charges
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#### APPEARS IN

NCERT Physics Part 1 and 2 Class 12
Chapter 1 Electric Charges and Fields
Exercise | Q 1.23 | Page 48
NCERT Class 12 Physics Textbook
Chapter 1 Electric Charge and Fields
Exercise | Q 23 | Page 48
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