
Concept explainers
(a)
The current in inductor.
(a)

Answer to Problem 15P
The current in inductor in the term of time is
Explanation of Solution
Given info: value of resistance
Diagram for the circuit connected with a battery, inductor is given below.
Figure (1)
Formula to calculate current in a loop as per Kirchhoff law is,
Here,
Write the expression for net voltage in loop 1,
Write the expression to calculate net voltage in loop 2,
Here,
Substitute
Substitute
Arrange the terms of above equation to simplify for integration.
On integrate,
Let
Differentiate above equation.
Substitute
Substitute
Apply boundary condition,
Substitute
Substitute
Further solve the above expression.
Substitute
Thus, the current in inductor in the terms of time is
Conclusion:
Therefore, current in inductor in the terms of time is
(b)
The current in the switch as a function of time.
(b)

Answer to Problem 15P
The current in the switch as the function of time is
Explanation of Solution
From equation (7), the formula to calculate current in inductor is,
From equation (4), the formula to calculate current in switch is,
Substitute
Substitute
Thus, the current in switch is
Conclusion:
Therefore, the current in switch is
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Chapter 31 Solutions
Physics for Scientists and Engineers with Modern Physics
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