First slide

Electric Flux

Question

Intensity of electric field at a distance of 1m from an infinitely long line of charge is 100 V/m. What will be the electric flux through a 1m long cylindrical Gaussian surface with its axis on the line of charge?

Easy

A

500 $π V - m$
B

50 $π V - m$
C

100 $π V - m$
D

200 $π V - m$

Solution

$\begin{array}{l} E = \frac{λ}{2 π \in_{0} r} \Rightarrow λ = 2 π \in_{0} r E c o u l / m \\ ∴ ϕ = \frac{Q_{n e t}}{\in_{0}} = \frac{λ}{\in_{0}} = 2 π r E = 2 π \times 1 \times 100 V - m \\ = 200 π V - m \end{array}$

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