(a)
The initial rate of increase of current.
(a)
Answer to Problem 63P
The initial rate of increase of current is
Explanation of Solution
Given:
The inductance of a coil is
The resistance of a resistor is
The voltage of ideal battery is
Formula used:
The expression for the current in the circuitis given by,
Calculation:
The initial rate of increase of current is calculated by differentiating the current with time.
Solve further as,
Conclusion:
Therefore, the initial rate of increase of current is
(b)
The rate of increase of current when the current is half of its steady-state value
(b)
Answer to Problem 63P
The rate of increase of current when the current is half of its steady-state value is
Explanation of Solution
Formula used:
The expression for the current in the circuit is given by,
Calculation:
According to the given condition,
The rate of increase of current at
Solve further as,
Conclusion:
Therefore, the rate of increase of current when the current is half of its steady-state value is
(c)
The steady state value of current.
(c)
Answer to Problem 63P
The steady state value of current is
Explanation of Solution
Formula used:
The expression for the steady state value of current is given by,
Calculation:
The steady state value of current is calculated as,
Conclusion:
Therefore, the steady state value of current is
(d)
The time taken of the current to reach
(d)
Answer to Problem 63P
The time taken of the current to reach
Explanation of Solution
Formula used:
The expression for the current in the circuit is given by,
Calculation:
According to the given condition,
Solve further as,
Conclusion:
Therefore, the time taken of the current to reach
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Chapter 28 Solutions
Physics for Scientists and Engineers, Vol. 1
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