MHT CET · Physics · Magnetic Effects of Current
A metal wire is of length \(l\) has magnetic moment \(M\). What is the new magnetic moment if it is bent in L-shape?
- A \(\frac{M}{2}\)
- B \(2 M\)
- C \(M\)
- D \(\frac{M}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(D) \(\frac{M}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
Magnetic wire of length \(l\) has magnetic moment \(M\), therefore
\(M=m l\)
where, \(\mathrm{m}\) is the strength of each monopole.
If it is bent into \(l\) shape the effective separation between the monopoles changes to \(\frac{l}{\sqrt{2}}\).
Therefore, new magnetic moment is:
\(M^{\prime}=m\left(\frac{l}{\sqrt{2}}\right)=\frac{M}{\sqrt{2}}\)
\(M=m l\)
where, \(\mathrm{m}\) is the strength of each monopole.
If it is bent into \(l\) shape the effective separation between the monopoles changes to \(\frac{l}{\sqrt{2}}\).
Therefore, new magnetic moment is:
\(M^{\prime}=m\left(\frac{l}{\sqrt{2}}\right)=\frac{M}{\sqrt{2}}\)
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