Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge per c

Question

Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50cm and length 1 m symmetrically encloses the wire. The total electric flux passing through the cylindrical surface

Professor PC Thomas Classes · Answer

According to Gauss's law, the total electric flux through the cylindrical surface is $\phi = \frac{q_{enclosed}}{\epsilon_0}$. Charge enclosed = charge per unit length × length = Q × 100 = 100Q. Therefore, $\phi = \frac{100Q}{\epsilon_0}$.