A constant magnetic field of 0.275 T points through a circular loop of wire with radius 3.50 cm as shown in Figure P32.1.
a. What is the magnetic flux through the loop?
b. Is a current induced in the loop? Explain.
FIGURE P32.1
(a)
The magnetic flux through the loop.
Answer to Problem 1PQ
The magnetic flux through the loop is
Explanation of Solution
Write the expression for the magnetic flux through the loop.
Here,
Write the expression for the area of the loop.
Here,
Substitute the above equation in equation (I) to find
Substitute
Conclusion:
Thus, the magnetic flux through the loop is
(b)
Whether the current induced in the loop.
Answer to Problem 1PQ
No current is induced in the loop because there is no change in the flux passing through the loop.
Explanation of Solution
Since the magnetic flux linked with the loop is constant, there is no change in the magnetic flux associated with the loop of the wire. So, there is no current induced in the loop.
Conclusion:
Thus, no current is induced in the loop.
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Chapter 32 Solutions
Physics for Scientists and Engineers: Foundations and Connections