Question

Suppose that the radius of cross-section of the wire used in the previous problem is r. Find the increase in the radius of the loop if the magnetic field is switched off. Young's modulus of the material of the wire is Y.

Answer 1

Explanation:

Given:

Wire’s cross-section radius = r

Young’s modulus is Y.

As per the information provided, the tension in the wire increased when the magnetic field is switched off and its length.

Young’s modulus,

$\mathrm{Y}=\text { StressStrain } \mathrm{Y}=\mathrm{T} / \mathrm{A} \Delta \mathrm{I} / \mathrm{I}$

Here,  

T  is the tension

A is the cross-section area  

Δl is the increase in the wire’s length  

∆l = iaB $\times$ 2πaY $\times$ πr2∆r = ia2Bπr2Y

The wire’s Young modulus is $iazBrr2Y$