A circular coil of N turns has radius R, and carries a currenrt I in the counterclockwise direction in each turn.

A circular coil of N turns has radius R, and carries a currenrt I in the counterclockwise direction in each turn. The coil lies in the wy-plane,with its center at the origin. There is a uniform magnetic field B=B_xi + B_zK everywhere. Assume both B_x>0 and B_z>0.

(a) What is the net force on the coil? Remember that the magnetic field is uniform.

(b) Find the magnetic dipole moment μ of the coil.

(c) Find the torque vector on the coil.

Expert Solution

genius_generous answered 2 years ago

A small circular coil with a radius of 1.00 cm has 20 turns and carries a...

A small circular coil with a radius of 1.00 cm has 20 turns and carries a current. A magnetic field probe is located somewhere along the coil's central axis, much farther from the coil's center than the coil's radius. A. The probe indicates that the magnetic field points down the axis, towards the center of the coil. Looking down the axis towards the coil, the current must be flowing which way? (clockwise or counterclockwise) B. At a distance of 3.0...

A rectangular coil with resistance R has N turns

A rectangular coil with resistance R has N turns, each of length l and width w as shown in Figure P20.25. The coil moves into a uniform magnetic field with constant velocity . What is the magnitude and direction of the total magnetic force on the coil during the following intervals? (Use N, B, w, l,v, and R as needed.)(a) as it enters the magnetic field(b) as it moves within the field(c) as it leaves the field

circular coil consists of 100 turns and has a radius of 20 cm. It is placed...

circular coil consists of 100 turns and has a radius of 20 cm. It is placed in a region of space in which there is a magnetic field of 0.5 T. If the coil is initially perpendicular to the magnetic field, find the magnitude of the emf induced if in 0.2 sec: a) the coil rotates 90 ° b) the coil rotates 180 ° c) The field is reduced to zero

A circular coil (radius = 0.40 m) has 160 turns and is in a uniform magnetic...

A circular coil (radius = 0.40 m) has 160 turns and is in a uniform magnetic field. If the orientation of the coil is varied through all possible positions, the maximum torque on the coil by magnetic forces is 0.16 Nm when the current in the coil is 4.0 mA. What is the magnitude of the magnetic field? 0.50 T 1.6 T 0.21 T 1.2 T 0.37 T

A circular coil of 144 turns has a radius of 1.54 cm. (a) Calculate the current...

A circular coil of 144 turns has a radius of 1.54 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 2.13 A

A rectangular coil with resistance R has N turns, each of length and width w as...

A rectangular coil with resistance R has N turns, each of length and width w as shown in Figure P31.29. The coil moves into a uniform magnetic field with constant velocity . What are the magnitude and direction of the total magnetic force on the coil for the following situations? (Use the following as necessary: N,B, w, v, and R.) Figure P31.29 (a) The coil enters the magnetic field. F = [Direction?] (b) The coil moves within the field. F...

A flat circular coil composed of 120 turns has a radius of 17.0 cm. Perpendicular to...

A flat circular coil composed of 120 turns has a radius of 17.0 cm. Perpendicular to the surface of the coil is a 3.50-T magnetic field. What is the induced emf in this coil, if the magnetic field reverses direction in 0.25 s?

A circular coil of wire with radius 4 cm and 20 turns is placed in a...

A circular coil of wire with radius 4 cm and 20 turns is placed in a uniform magnetic field of magnitude 0.3 T. The magnetic field is parallel to the area vector; i.e. perpendicular to the plane of the coil. a) What is the magnetic flux through the coil? b) The magnetic field is decreased to 0 T in 0.1 s. What is the magnitude of the emf induced in the coil during this time interval? c) If the coil...

A closely wound, circular coil with radius 2.10cm has 830 turns. A. What must the current...

A closely wound, circular coil with radius 2.10cm has 830 turns. A. What must the current in the coil be if the magnetic field at the center of the coil is 5.0010-2 B. At what distance x from the center of the coil, on the axis of the coil, is the magnetic field half its value at the center?

A circular coil of 300 turns and radius 10 cm is connected to a current integrator....

A circular coil of 300 turns and radius 10 cm is connected to a current integrator. The total resistance of the circuit is 45 Ω. The plane of the coil is originally aligned perpendicular to the earth’s magnetic field at some point. When the coil is rotated through 90◦ , the charge that passes through the current integrator is measured to be 9.2 µC. Calculate the magnitude of the earth’s magnetic field at that point. Answer in units of µT

Question