Q. 173.7( 13 Votes )
A long charged cy
Answer :
Given,
Charge density of the long-charged cylinder of length L and radius r is λ. Another same type of cylinder with radius R surrounded it.
Let E is the electric field produced in the space between the two cylinders.
Electric flux through a Gaussian surface is given by the Gaussian theorem as,
Φ = E(2πd)L
Where, d = distance of a point from common axis of the cylinders.
Let q be the total charge on the cylinder,
∴ Φ = E(2πd)L =
Where, q = charge of the inner sphere of the outer cylinder
ϵ0 = permittivity of space
Thus,
E(2πd)L =
∴
Hence, the electric field between cylinders,
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