Electric charge is uniformly distributed along a long straight wire of radius 1m

Discussion Forum : Electric Charges Fields And Gauss Law

Question -

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

Options:

A .

\frac{Q}{ϵ_{0}}

B .

\frac{100 Q}{ϵ_{0}}

C .

\frac{10 Q}{(π ϵ_{0})}

D .

\frac{100 Q}{(π ϵ_{0})}

Answer: Option B
:
B

Charge enclosed by cylindrical surface (length 100 cm) is $Q_{e x c} = 100 Q .$ By applying Gauss's law
$ϕ = \frac{1}{ϵ_{0}} (Q_{e γ α}) = \frac{1}{ϵ_{0}} (100 Q)$

Was this answer helpful ?

Next Question

Discussion Forum : Electric Charges Fields And Gauss Law

Submit Your Solution hear: