A uniform magnetic field \( \mathrm{B}=1.8 \mathrm{~T} \) points in the \( +x \) direction. A square loop with sides of length \( \mathrm{d}=20 \mathrm{~cm}, \mathrm{~N}=12 \) turns, and current \( \mathrm{I}=0.85 \mathrm{amps} \) per turn pivots without friction around a pin about the z -axis as shown in the figure below. The \( z \)-axis points out of the page in the left hand panel. Show Transcribed Text A mass M is hung from one side of the loop ( C or D ), and the loop is in equilibrium when it makes an angle of 30degrees with respect to the \( x-z \) plane. Determine the size of the mass in kg . Enter a positive number if it is hung from C and a negative number if it is hung from \( D \).
Added by Darnell C.
Close
Step 1
The magnetic moment is given by: \[ \mu = N \times I \times A \] where \( N = 12 \) (number of turns), \( I = 0.85 \, \text{A} \) (current), and \( A = d^2 = (0.2 \, \text{m})^2 \) (area of the loop). Show more…
Show all steps
Your feedback will help us improve your experience
Adam Moon and 86 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A square, horizontal loop with side length L = 0.1 m is attached to a pivot around which it may freely rotate. A magnetic field B = 0.5 T is applied parallel to the plane of the loop, as shown. A battery (not shown) forces a constant current to flow around the loop. Because of the torque exerted by the magnetic field, the loop would begin to rotate were it not for a mass m = 1 kg suspended from one side of the loop. Recall that g = 9.8 mil. Which way must the current flow in the loop to keep it from rotating due to the weight of the mass? How large would the current have to be?
Shaiju T.
The square loop seen in the figure has side length l = 0.6 m and mass m = 0.8 kg. It can rotate about the AA' – axis which lies on the horizontal z–axis. There is an external magnetic field B with the magnitude |B| = 2 T, directed vertically downward, and uniformly covering the loop. A current I = 3 A flows in the clockwise direction on the loop. The sum of the gravitational torque and the magnetic torque on the loop is zero. Find the angle ̘ in degrees. (Take g = 9.8 m/s².)
Timothy J.
(1) The loop of wire shown in the figure carries a current I = 5.00 A in the direction shown. The loop is in a uniform magnetic field that has magnitude B = 3.00 T and the same direction as the current in side PQ of the loop. (a) Find the magnitude and direction of the magnetic force exerted on each side of the triangle. (b) Calculate the net force on the loop. (c) What is the magnitude of the net torque on the loop? Hint: Apply the F = I L x B equation.
Saikat C.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD