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 as shown in the figure. 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

Given that charge per cm length of the wire is Q. Since 100 cm length of the wire is enclosed so $Q_{enc} = 100Q$

Electric flux emerging through cylindrical surface $\varphi = \frac{100Q}{\varepsilon_{0}}$