A square frame of wire connected to a capacitor is kept in a magnetic field which varies with position as well as time and is given as B→=axt-k→ as shown in figure, where α is a constant. The charge on the capacitor at any time is n2Cαl3 . Then find the value of ‘n’.

Flux of magnetic field at any time t is ϕ=∫121αxtldx=32αtl3 ∴|e|=32αl3∴ Charge on capacitor =32Cαl3 ∴n=3

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A square frame of wire connected to a capacitor is kept in a magnetic field which varies with position as well as time and is given as $\vec{B} = a x t (- \vec{k})$ as shown in figure, where $α$ is a constant. The charge on the capacitor at any time is $\frac{n}{2} C α l^{3}$ . Then find the value of ‘n’.

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

answer is 3.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Flux of magnetic field at any time t is
$ϕ = \int_{1}^{21} α x t l d x = \frac{3}{2} α t l^{3}$
$∴ | e | = \frac{3}{2} α l^{3}$
$∴$ Charge on capacitor $= \frac{3}{2} C α l^{3}$
$∴ n = 3$

Watch 3-min video & get full concept clarity

course

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE