Q. Electric charge is uniformly distributed along a long straight wire of radius 1mm. The charge per cm length of the wire is $\mathcal{Q}$ coulomb. Another cylindrical surface of radius 50 cm and length 1m symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is
A) $\frac{\mathcal{Q}}{\varepsilon_{0}}$
B) $\frac{100\mathcal{Q}}{\varepsilon_{0}}$
C) $\frac{10\mathcal{Q}}{\pi\varepsilon_{0}}$
D) $\frac{100\mathcal{Q}}{\pi\varepsilon_{0}}$
Explanation
(b) $\phi = \frac{1}{\varepsilon_{0}}q = \frac{100\mathcal{Q}}{\varepsilon_{0}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.