An insulating hollow cube of side $l$ carries uniform charge on all of its surfaces. The surface charge density is $σ$ . Determine the force acting on a face due all the other forces

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

$\frac{σ^{2} l^{2}}{2 ε_{0}}$

$\frac{σ^{2} l^{2}}{6 ε_{0}}$

$\frac{σ^{2} l^{2}}{4 ε_{0}}$

$\frac{σ^{2} l^{2}}{3 ε_{0}}$

answer is B.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Total charge = $6 q$
Flux through the cube $= \frac{6 q}{ε_{0}} d F = (σ d A) \vec{E}$
Flux through each face $= \frac{q}{ε_{0}} F = \int d E_{⊥}$

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test