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A long solenoid of radius a, carrying n turns per unit
Chapter 7, Problem 17P(choose chapter or problem)
Problem 17P
A long solenoid of radius a, carrying n turns per unit length, is looped by a wire with resistance R, as shown in Fig. 7.28.
(a) If the current in the solenoid is increasing at a constant rate (d I/dt = k), what current flows in the loop, and which way (left or right) does it pass through the resistor?
(b) If the current I in the solenoid is constant but the solenoid is pulled out of the loop (toward the left, to a place far from the loop), what total charge passes through the resistor?
Questions & Answers
QUESTION:
Problem 17P
A long solenoid of radius a, carrying n turns per unit length, is looped by a wire with resistance R, as shown in Fig. 7.28.
(a) If the current in the solenoid is increasing at a constant rate (d I/dt = k), what current flows in the loop, and which way (left or right) does it pass through the resistor?
(b) If the current I in the solenoid is constant but the solenoid is pulled out of the loop (toward the left, to a place far from the loop), what total charge passes through the resistor?
ANSWER:
Solution 17P:
Step 1 of 5:-
Here we need to find the current passing through the looped wire with resistance R around the solenoid.
The radius of the solenoid is .
Number of turns per unit length is .
The solenoid is looped by a wire with resistance .
The magnetic field inside the solenoid is,
Outside the solenoid the magnetic field is zero.