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 $50 \,cm$ and length $1\, m$ symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is

• A. $\frac{Q}{{{\varepsilon }_{0}}}$
• B. $\frac{100Q}{{{\varepsilon }_{0}}}$
• C. $\frac{10Q}{\pi {{\varepsilon }_{0}}}$
• D. $\frac{100Q}{\pi {{\varepsilon }_{0}}}$

Answer 1

Answer: (B)

$\frac{100Q}{{{\varepsilon }_{0}}}$

Answer 2

$\phi =\frac{1}{60}q=\frac{100Q}{{{\varepsilon }_{0}}}$