Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A rod with circular cross-section area and length <img alt="\mathrm{40 cm}" src="

A rod with circular cross-section area \mathrm{2cm^{-2}} and length \mathrm{40 cm} is wound uniformly with \mathrm{400} turns of an insulated wire. If a current of \mathrm{0.4 A} flows in the wire windings, the total magnetic flux produced inside windings is \mathrm{4\pi \times 10^{-6} Wb}. The relative permeability of the rod is
(Given : Permeability of vacuum \mathrm{\mu_{0}=4\pi\times 10^{-7}NA^{-2}} )

Option: 1

\frac{5}{16}


Option: 2

12.5


Option: 3

125


Option: 4

\frac{32}{5}


Answers (1)

best_answer

The magnetic field in the Solenoid,
\mathrm{B=\mu_0 \mu_r n l}
Magnetic flux, \mathrm{\phi=N(B A)}

\begin{aligned} & \phi=N\left(\mu_0 \mu_r n I A\right) \\ & 4 \pi \times 10^{-6}=400\left(4 \pi \times 10^{-7} \mu_r \times \frac{400}{0.4} \times 0.4 \times 2 \times 10^{-4}\right) \\ & \frac{1}{40}=\mu_r \times 8 \times 10^{-2} \\ & \mu_r=\frac{100}{320}=\frac{5}{16} \end{aligned}
 

Posted by

SANGALDEEP SINGH

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 Session 2 City Slip (OUT) Live: NTA exam city intimation slip link available; admit card date
anam-khan

AESL expands Aakash Digital 2.0 to offer AI-powered coaching for NEET, JEE, Olympiads
anam-khan

Bihar Board extends BSEB Super 50 free coaching application last date to March 26

Latest Question