Solution Found!
IP Two current loops, one square the other circular, have
Chapter 22, Problem 43P(choose chapter or problem)
Problem 43P
IP Two current loops, one square the other circular, have one turn made from wires of the same length. (a) If these loops carry the same current and are placed in magnetic fields of equal magnitude, is the maximum torque of the square loop greater than, less than, or the same as the maximum torque of the circular loop? Explain. (b) Calculate the ratio of the maximum torques, τsquare/τcirclc.
Questions & Answers
QUESTION:
Problem 43P
IP Two current loops, one square the other circular, have one turn made from wires of the same length. (a) If these loops carry the same current and are placed in magnetic fields of equal magnitude, is the maximum torque of the square loop greater than, less than, or the same as the maximum torque of the circular loop? Explain. (b) Calculate the ratio of the maximum torques, τsquare/τcirclc.
ANSWER:
Step 1 of 2:
a)
Here, we have to calculate whether the maximum torque of the square loop will be greater or equal to or less than the maximum torque by the circular loop.
Both the loops are made from same length wires.
Let the length of the wire is .
The length of one side of the square is,
Hence the area will be,
.
Now, the length of wire loop is,
.
As it is clearly visible that the area of the circular loop is more, the torque generated by this will be more.
Because,
.