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2. Consider a rectangular loop of wire carrying current I. From the torque of a homogeneous magnetic field perpendicular to one pair sides, show that the current loop is equivalent to a magnetic dipole µm =I A, where A is the area of the loop.

2. Consider a rectangular loop of wire carrying current I. From the torque of a homogeneous magnetic field perpendicular to one pair sides, show that the current loop is equivalent to a magnetic dipole µm =I A, where A is the area of the loop.

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Sheet (10) – Magnetism I 1. Using the results of quantum mechanics, calculate the magnetic moments that are possible for an n = 3 level. 2. Consider a rectangular loop of wire carrying current I. From the torque of a homogeneous magnetic field perpendicular to one pair sides, show that the current loop is equivalent to a magnetic dipole µm =I A, where A is the area of the loop. 3. A flat conducting loop carries current I and is located in a uniform magnetic field, B. The field is along the z-axis. For what orientation of the loop (in which plane or planes must be the loop) for the torque to be: B а. Маximum b. Zero y The torque is maximum if the loop is in the plane. The torque is zero if the loop is in the plane. 4. A rectangular loop of dimensions 5.4 cm × 8.5 cm carries a current of 375 mA. a. Calculate the magnitude of its magnetic moment. b. Suppose a magnetic field, B, of magnitude 0.35 T is applied parallel to the plane of the loop. What is the magnitude of the torque acting on the loop? c. Calculate the magnitude of the torque on the loop when the 0.35 T magnetic field makes angles of i. 60° ii. 0° with µm. Physical Constants: h = 6.63 x 1034 J/sec Eo = 10/ (367T) = 8.854 × 10-9 F/m µo = 4n × 10-7 H/m е%3D 1.6 х 10-19 C B = 9.27 x 10-24 J/T (or A m²) m = 9.1 × 10-31 kg c = 3 × 108 m/s
Transcribed Image Text:Sheet (10) – Magnetism I 1. Using the results of quantum mechanics, calculate the magnetic moments that are possible for an n = 3 level. 2. Consider a rectangular loop of wire carrying current I. From the torque of a homogeneous magnetic field perpendicular to one pair sides, show that the current loop is equivalent to a magnetic dipole µm =I A, where A is the area of the loop. 3. A flat conducting loop carries current I and is located in a uniform magnetic field, B. The field is along the z-axis. For what orientation of the loop (in which plane or planes must be the loop) for the torque to be: B а. Маximum b. Zero y The torque is maximum if the loop is in the plane. The torque is zero if the loop is in the plane. 4. A rectangular loop of dimensions 5.4 cm × 8.5 cm carries a current of 375 mA. a. Calculate the magnitude of its magnetic moment. b. Suppose a magnetic field, B, of magnitude 0.35 T is applied parallel to the plane of the loop. What is the magnitude of the torque acting on the loop? c. Calculate the magnitude of the torque on the loop when the 0.35 T magnetic field makes angles of i. 60° ii. 0° with µm. Physical Constants: h = 6.63 x 1034 J/sec Eo = 10/ (367T) = 8.854 × 10-9 F/m µo = 4n × 10-7 H/m е%3D 1.6 х 10-19 C B = 9.27 x 10-24 J/T (or A m²) m = 9.1 × 10-31 kg c = 3 × 108 m/s
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