Question

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 magnetic field at the center of the second loop to be zero.

2. If the second loop is centered at the point z = R1, what must the current be (direction and magnitude) in order for the net magnetic field at the center of the first loop to be zero.

Homework Answers

Answer #1

Direction of magnetic field is given by right hand thumb rule, the thumb pointing towards the magnetic field

(1)

Direction of magnetic field of 1st loop is in -Z direection[ Using right hand thumb rule]

So , magnetic field in 2nd loop must be in +Z => current in loop 2 must be counterclockwise

(2)

Direction of magnetic field of 1st loop is in -Z direection[ Using right hand thumb rule]

So , magnetic field in 2nd loop must be in +Z => current in loop 2 must be counterclockwise

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 single loop of wire of radius 12 cm lies on the x-y plane (imaging it...
A single loop of wire of radius 12 cm lies on the x-y plane (imaging it lying on your page of paper) and carries a current of 1.00 A in the clockwise direction . At the same time, a long straight wire that just touches the rim at the edge of the wire loop carries a 0.808-amp current in the +z direction ("out of the page"). Find the magnetic field at the center of the wire loop. Reminder: the loop...
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.   ...
A circular loop of wire of area 0.25?2 lies in the x-y plane with its center...
A circular loop of wire of area 0.25?2 lies in the x-y plane with its center at the origin. A uniform magnetic field of 2.00 T points in the positive z-direction. The loop begins to rotate at t = 0s at the rate of 60 rpm. a. What is the flux through the loop as a function of time? b. What is the emf in the loop as a function of time? c. If the loop has a resistance of...
A circular loop of wire with area 0.020 m2m2 lies in the x-y plane. Initially there's...
A circular loop of wire with area 0.020 m2m2 lies in the x-y plane. Initially there's a magnetic field of 3.6 TT in the -z-direction. The field remains constant for 11 ss , then decreases gradually to zero in 11 ss , and then remains zero for 11 ss . Part A: Find the magnitude of the induced emf in the loop for the first 11 ss interval. Express your answer to two significant figures and include the appropriate units....
Suppose a conducting sphere, radius r2, has a spherical cavity of radius r1 centered at the...
Suppose a conducting sphere, radius r2, has a spherical cavity of radius r1 centered at the sphere's center. At the center of the sphere is a point charge -4Q. Assuming the conducting sphere has a net charge +Q determine the electric field,magnitude and direction, in the following situations: a) From r = 0 to r = r1. b) From r = r1 to r = r2. c) Outside of r = r2 d) find the surface charge density (charge per...
A circular area with a radius of 7.20 cm lies in the x-y plane. 1) What...
A circular area with a radius of 7.20 cm lies in the x-y plane. 1) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field BBB = 0.213 TT that points in the +z direction? 2) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field BBB = 0.213 TT that points at an angle of 53.7 ∘∘ from the +z direction? 3) What is the...
A circular loop of wire in the xy plane has a current flow clockwise through it...
A circular loop of wire in the xy plane has a current flow clockwise through it as viewed from the +z direction. There is a uniform external magnetic field applied to the loop in the +x direction. What is the direction of the net force of the magnetic field on the loop? a) +y b) -y c) -z d) There is no net force on the loop. Magnetic fields a) Can have a net flux out of a closed surface....
A circular loop of wire with radius of 1.0 m lies in the xy plane. A...
A circular loop of wire with radius of 1.0 m lies in the xy plane. A uniform 1.0 T external magnetic field is directed along the z axis. The wire is a conductor, and carries current of 1.0 Amperes. What is the tension (or compression) in the wire due to the external field?
A current carrying wire is bent into a closed semi-circular loop of radius R that lies...
A current carrying wire is bent into a closed semi-circular loop of radius R that lies in the XY plane. The wire is in a uniform magnetic field that is in the +z direction. Calculate the force acting on the loop if R=42 cm, B= 1.2T.
A circular area with a radius of 6.20 cm lies in the xy-plane. Part A) What...
A circular area with a radius of 6.20 cm lies in the xy-plane. Part A) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field with a magnitude of 0.220 T in the + z -direction? Part B) What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.220 T ), now at an angle of 54.4 ∘ from the + z...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT