Concept explainers
(a)
The current in the circuit
(a)
Answer to Problem 46P
The current in the circuit when the switch is in position
Explanation of Solution
Write the equation for the current in the circuit.
Here,
Conclusion:
Substitute
Therefore, the current in the circuit when the switch is in position
(b)
The voltage across each resistor and the inductor
(b)
Answer to Problem 46P
The voltage across each resistor and the inductor are
Explanation of Solution
Write the equation for the voltage across the
Here,
Write the equation for the voltage across the
Here,
The voltage across the inductor is the sum of the voltage across the
Here,
Conclusion:
Substitute
Therefore, the voltage across the
Substitute
Therefore, the voltage across the
Substitute
Therefore, the voltage across the inductor is
(c)
The time elapse before the voltage drops
(c)
Answer to Problem 46P
The time elapse before the voltage drops to
Explanation of Solution
Write the equation for the change in voltage in the circuit.
Here,
Write the equation for the time constant for the circuit.
Here,
Rearrange equation (III) to obtain equation for the time elapse.
Conclusion:
Substitute
Therefore, the time elapse before the voltage drops to
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Chapter 23 Solutions
Principles of Physics: A Calculus-Based Text
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