Concept explainers
(a)
The currents
(a)
Answer to Problem 50P
The current
Explanation of Solution
Write the expression to calculate
Here,
Substitute
At the instance of closing the switch the current through the inductor is zero and therefore
The voltage across the resistance
The whole voltage of the battery would fall across the resistor
Write the expression for the power supplied by the battery.
Here, P is the power supplied by the battery.
Substitute
Since the current through the inductor is zero (
Conclusion:
Therefore, the current
(b)
The currents
(b)
Answer to Problem 50P
The current
Explanation of Solution
Write the expression to calculate
Here,
Substitute
Write the expression to calculate
Here,
Substitute
The resistors come into parallel and hence the voltage across the two resistors is
Write the expression for the power supplied by the battery.
Here, P is the power supplied by the battery and
Write the expression to calculate
Rewrite the equation for P using the above expression.
Substitute
After the switch has been closed for a long time the current reaches a constant value and the emf across the inductor is zero.
Conclusion:
Therefore, the current
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