Question

A 175-turn circular loop of radius 45.0 cm is vertical, with its axis on an east-west...

A 175-turn circular loop of radius 45.0 cm is vertical, with its axis on an east-west line. A current of 200 A circulates clockwise in the loop when viewed from the east. The Earth's field here is due north, parallel to the ground, with a strength of 3.00 ✕ 10−5 T. What are the magnitude (in N · m) and direction of the torque on the loop?

Homework Answers

Answer #1

Given : N = no of turns = 175.

r = radius of loop = 45 cm = 0.45 m

i = current in loop = 200 A

B = magnetic field = 3 x 10-5 T (towards north)

when viwed from east, the current is clockwise means area vector is towards west.

assume , east is along + x axis , north is along + y axis

upwards is + z axis.

Magnetic moment of loop = [ = area vector]

Magnetic field =

torque on current carrying loop in magnetic field is

The torque acting on the loop is 0.67 N m in the direction downward towards ground. [answer]

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A circular loop of radius R1 lies in the x − y plane, centered on the...
A circular loop of radius R1 lies in the x − y plane, centered on the origin, and has a current i running through it clockwise when viewed from the positive z direction. A second loop with radius R2 sits above the first, centered on the positive z axis and parallel to the first. 1. If the second loop is centered at the point z = R1, what must the current be (direction and magnitude) in order for the net...
A circular wire loop with a radius of 10 cm is placed in a magnetic field...
A circular wire loop with a radius of 10 cm is placed in a magnetic field of 1.0 T that is parallel to its axis into the page. The loop is stretched to half of its initial area within a time of 0.1 seconds. What is the induced voltage and the direction of induced current? (a) 157 mV, clockwise current (b) 120 mV, counter clockwise current (c) 79 mV, clockwise current (d) 0 V, no current The answer is A...
A circular coil has 60 turns and a radius of 1 cm. It is at the...
A circular coil has 60 turns and a radius of 1 cm. It is at the equator, where the earth's magnetic field is 0.7 G north. Find the magnetic flux through the coil when its plane is as follows. (a) horizontal ______Wb (b) vertical with its axis pointing north ______Wb (c) vertical with its axis pointing east ______Wb (d) vertical with its axis making an angle of 30° with north ______Wb
A circular coil of wires (N = 10 turns, R = 3.5 cm) is oriented so...
A circular coil of wires (N = 10 turns, R = 3.5 cm) is oriented so that the axis of the coil runs east to west. A compass pointing north sits a distance of d = 12 cm from the center of the coil and lies on the axis of the coil. The horizontal component of the Earth’s magnetic field at this location has a magnitude of 2.5×10−5 T. When a current is turned on the compass needle now points...
A circular loop of radius 14 cm carries a current of 15 A. A flat coil...
A circular loop of radius 14 cm carries a current of 15 A. A flat coil of radius 1.2 cm, having 65 turns and a current of 1.1 A, is concentric with the loop. The plane of the loop is perpendicular to the plane of the coil. Assume the loop's magnetic field is uniform across the coil. What is the magnitude of (a) the magnetic field produced by the loop at its center and (b) the torque on the coil...
A 80.0 turn circular coil of radius 5.00 cm can be oriented in any direction in...
A 80.0 turn circular coil of radius 5.00 cm can be oriented in any direction in a uniform magnetic field having a magnitude of 0.400 T. The coil carries a current of 30.0 mA. a) What is the magnitude of the maximum possible torque exerted on the coil? b) For the condition in part (a), what is the orientation energy?
A circular loop of radius 11.9 cm is placed in a uniform magnetic field. (a) If...
A circular loop of radius 11.9 cm is placed in a uniform magnetic field. (a) If the field is directed perpendicular to the plane of the loop and the magnetic flux through the loop is 7.40 ✕ 10−3 T · m2, what is the strength of the magnetic field? T (b) If the magnetic field is directed parallel to the plane of the loop, what is the magnetic flux through the loop? T · m2
1) A circular loop of radius 3.53 cm contains 61 turns of tightly wound wire. If...
1) A circular loop of radius 3.53 cm contains 61 turns of tightly wound wire. If the current in the windings is 0.634 A and a constant magnetic field of 0.462 T makes an angle of 70.3 ◦ with a vector perpendicular with the loop, what torque acts on the loop? 2) The clockwise circulating current in a solenoid is increasing at a rate of 13 A/s. The crosssectional area of the solenoid is 3.14159 cm2 , and there are...
A circular loop of wire having a radius of 8.52 cm carries a current of 0.149...
A circular loop of wire having a radius of 8.52 cm carries a current of 0.149 A. A vector of unit length and parallel to the dipole moment of the loop is given by 0.60i – 0.80j. If the loop is located in a uniform magnetic field given by B = (0.280 T)i + (0.191 T)k, find (a) the x-component, (b) the y-component, and (c) the z-component of the torque on the loop and (d) the magnetic potential energy of...
A circular loop of wire of radius R lies in the xy-plane, where a time-varying, radially...
A circular loop of wire of radius R lies in the xy-plane, where a time-varying, radially symmetric magnetic field of magnitude B = k r t3  (in SI units) points in the positive z-direction. Here, t is time, r is the distance from the centre of the loop, and k is a positive constant. (i)   What must be the SI units of k ?    (ii) Calculate the magnetic flux Φm through the loop as a function of time t.   ...