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AP EAMCET · PHYSICS · Magnetic Effects of Current

A thin rod of length L is magnetized and has magnetic moment M. The rod is then bent in a semicircular arc. The magnetic moment in the new shape is

  1. A ML
  2. B Mπ
  3. C M2π
  4. D 2Mπ
Verified Solution

Answer & Solution

Correct Answer

(D) 2Mπ

Step-by-step Solution

Detailed explanation

Length of arc L=πR ⇒R=Lπ       ...1 Magnetic moment of rod M=mL   ...2 Magnetic moment of semicircular arc Marc=m2R ⇒Marc=m2Lπ ⇒Marc=2πmL ⇒Marc=2πM