Question

A thin straight strip of length $5cm$ and magnetic moment $0.5A{m}^2$ was bent such that there is a gap of $1cm$ at its ends. Then the magnetic moment of this will be (nearly)

• A. $0.1A{m}^2$
• B. $0.2A{m}^2$
• C. $0.05A{m}^2$
• D. $0.25A{m}^2$

Answer 1

The correct option is A $0.1A{m}^2$

Given parameters are,

Length of the thin straight strip,$L_1=5cm$

Gap at the end,$L_2=1cm$

Magnetic moment, ${\mu }_1=0.5A{m}^2$

Changed new magnetic moment,${\mu }_2=?$

We have the formula as:

$\frac{{\mu }_1}{L_1}=\frac{{\mu }_2}{L_2}$

$\frac{0.5}{5}=\frac{{\mu }_2}{1}$

${\mu }_2=\frac{05}{5}$

${\mu }_2=0.1A{m}^2$

New magnetic moment will be $0.1A{m}^2$

Thus, Option A is correct.