(a)
The current in the inductor as a function of time.
(a)
Answer to Problem 26P
The current in the inductor as a function of time is
Explanation of Solution
Write the expression based on junction rule.
Here,
Write the expression to obtain the loop rule.
Here,
Write the expression to obtain the current in the circuit.
Here, current in the circuit is
The current flow in the circuit is as shown in the figure below.
Figure-(1)
Write the expression to obtain the voltage the loop
Here,
Write the expression to obtain the loop
Here,
Re-write the above equation.
Substitute
Further solve the above equation.
The general solution of the linear differential equation.
Here,
Substitute
Substitute
Substitute
Conclusion:
Substitute
Therefore, the current in the inductor as a function of time is
(b)
The current in the switch as a function of time.
(b)
Answer to Problem 26P
The current in the switch as a function of time is
Explanation of Solution
Consider equation (II) to obtain the current in the switch as a function of time.
Substitute
Further substitute
Conclusion:
Substitute
Therefore, the current in the switch as a function of time is
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Chapter 32 Solutions
Physics for Scientists and Engineers With Modern Physics
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