A wire loop is placed outside of and concentric with a long, tightly wound solen
ID: 2300695 • Letter: A
Question
A wire loop is placed outside of and concentric with a long, tightly wound solenoid, as shown. The solenoid has an initial current I. The current decreases to half its initial value in a time interval ?t. This change will produce an induced current, Iind, in the wire loop. Explain how each of the changes described below would affect the induced current in the wire loop.
The decrease in the solenoid current occurs in a longer time.
The diameter of the wire loop is doubled.
The diameter is increased but the solenoid is still inside the wire loop.
The initial solenoid current is three times the value above but decreases to half its initial
value in the same interval.
Explanation / Answer
a. The decrease in the solenoid current occurs in a longer time.
The rate of change of flux decreases, so the induced current decreases.
b. The diameter of the wire loop is doubled.
The flux and the rate of change of flux is the same, so there is no change in the induced current.
c. The diameter is increased but the solenoid is still inside the wire loop.
The rate of change of flux is the same, so there is no change in the induced current.
d. The initial solenoid current is three times the value above but decreases to half its initial
value in the same interval.
The rate of change of flux increases so the induced current increases.
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