60 mins Expert Faculty Ask Questions

Question

A small coil C with N= 200 turns is mounted on one end of a balance beam and introduced between the poles of an electromagnet as shown in figure. The area of the coil is S = 1cm^{2}, the length of the right arm of the balance beam is I = 30 cm. When there is no current in the coil the balance is in equilibrium. On passing a current I = 22 mA through the coil, equilibrium is restored by putting an additional weight of mass m = 60 mg on the balance pan. Find the magnetic induction field (in terms of x 10^{-1} T) between the poles of the electromagnet, assuming it to be uniform.

Moderate

Solution

$\text{Magnetic torque}=NISB\mathrm{sin}(\overrightarrow{S},\overrightarrow{B})\text{NISB}\mathrm{sin}90\xb0\phantom{\rule{0ex}{0ex}}\text{Gravitational torque}=(\Delta m\times g)l\phantom{\rule{0ex}{0ex}}\text{For equilibrium}\mathrm{NISB}=\Delta \mathrm{mgl}\Rightarrow \phantom{\rule{0ex}{0ex}}B=\Delta mgl/NIS\phantom{\rule{0ex}{0ex}}B=\frac{\left(60\times {10}^{-6}\right)\times 9.8\times 0.3}{200\times 22\times {10}^{-3}\times 1\times {10}^{-4}}=4\times {10}^{-1}\mathrm{T}$

Talk to our academic expert!

Create Your Own Test

Your Topic, Your Difficulty, Your Pace

Similar Questions

In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are r, 2r, 2^{2}r, 2^{3}r ... $\infty $, The magnetic field at the centre of rings will be

799 666 8865

support@infinitylearn.com

6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.

JEE

JEE Mock Tests

JEE study guide

JEE Revision Notes

JEE Important Questions

JEE Sample Papers

JEE Previous Year's Papers

NEET

NEET previous year’s papers

NEET important questions

NEET sample papers

NEET revision notes

NEET study guide

NEET mock tests

Popular Books

HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions

Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions