First slide

Gauss's law and its applications

Question

A large plane charge sheet having charge density $σ = 2 \times 10^{- 6} C / m^{2}$ lies in the $x - y$ plane. Find the flux of the electric field through a circular area of radius 1cm lying completely in the region where $x, y, z$ are all positive and with its normal making an angle of $60^{0}$ with the $z - a x i s$

Moderate

Solution

$E l e c t r i c f i e l d n e a r t h e p l a n e c h a r g e s h e e t E = \frac{σ}{2 \in_{0}} T h e a r e a Δ S = π r^{2} = 3.14 \times 10^{- 4} m^{2} T h e f l u x ϕ = \vec{E} . \vec{Δ S} = E Δ S \cos θ = (\frac{σ}{2 \in_{0}}) (π r^{2}) \cos 60^{0} = \frac{2 \times 10^{- 6} \times 3.14 \times 10^{- 4} \times (\frac{1}{2})}{2 \times 8.85 \times 10^{- 12}} = 17.74 N - m^{2} / C$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App