A circular coil of radius 0.1 m is placed in the X−Y plane and a current 2 A is passed through the coil in the clockwise direction when looking from above. Find the magnetic dipole moment of the current loop
To determine the magnetic dipole moment of the current loop, we use the formula: µ=I⋅A where: µ is the magnetic dipole moment, I is the current, and A is the area of the coil. Given:
I=2A Radius of the coil, r=0.1m The area of the coil, A, is given by: A=πr2 Substituting the value of the radius: ‌A=π(0.1)2 ‌A=π×0.01 ‌A=0.01πm2 Now, we calculate the magnetic dipole moment: ‌µ=I⋅A ‌µ=2A⋅0.01πm2 ‌µ=0.02πAm2 The direction of the magnetic dipole moment is given by the right-hand rule. Since the current is flowing in a clockwise direction when looking from above (positive Z-direction), the magnetic dipole moment points in the negative Z-direction. Thus, the magnetic dipole moment of the current loop is: 0.02πAm2 in the negative Z-direction. Therefore, the correct option is: Option B: 0.02πAm2 in the -ve Z− direction