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1. Electric Charges and Fields
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An infinite line charge is at the axis of a cylinder of length $1 \,m$ and radius $7 \,cm$. If electric field at any point on the curved surface of cylinder is $250 \,NC ^{-1}$, then net electric flux through the cylinder is ............ $Nm ^2 C ^{-1}$
A
$1.1 \times 10^2$
B
$9.74 \times 10^{-6}$
C
$5.5 \times 10^6$
D
$2.5 \times 10^2$
Solution
(a)
Charge enclosed is $(q)=\lambda(1)$
$E=\frac{\lambda}{2 \pi \varepsilon_0(0.07)}=250$
So, $\lambda=500(0.07) \pi \varepsilon_0$
Electric flux through cylinder $=\frac{q}{\varepsilon_0}=500(0.07) \varepsilon_0$
$\simeq 1.1 \times 10^2 \,Nm ^2 C ^{-1}$
Standard 12
Physics
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