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Concept explainers
(a)
The current and its rate of change at
(a)
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Answer to Problem 59P
The current and its rate of change at
Explanation of Solution
Given:
The resistance and self-inductance of the coil is
The voltage of the battery is
Formula used:
The expression for the current is given by,
Here,
And.
Here
Calculation:
The final current in a coil is calculated as,
The time constant is calculated as,
The current is calculated as,
The rate of current with time is calculated as,
Conclusion:
Thereforethe current and its rate of change at
(b)
The current and its rate of change at
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 59P
The current and its rate of change at
Explanation of Solution
Formula used:
The expression for the current is given by,
Here,
And.
Here
Calculation:
The current at time
The rate of the current with time is calculated as,
Conclusion:
Therefore,the current and its rate of change at
(c)
The current and its rate of change at
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 59P
The current and its rate of change at
Explanation of Solution
Formula used:
The expression for the current is given by,
Here,
And.
Here
Calculation:
The current at time
The rate of the current with time is calculated as:
Conclusion:
Therefore, the current and its rate of change at
(d)
The current and its rate of change at
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 59P
The current and its rate of change at
Explanation of Solution
Formula used:
The expression for the current is given by,
Here,
And.
Here
Calculation:
The current at time
The rate of the current with time is calculated as:
Conclusion:
Therefore, the current and its rate of change at
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Chapter 28 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
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- Physics The heating coils in a hair dryer are 0.800 cm in diameter, have a combined length of 1.00 m, and a total of 397 turns. (a) What is their total self-inductance assuming they act like a single solenoid? H (b) How much energy is stored in them when 11.5 A flows? J (c) What average emf opposes shutting them off if this is done in 4.17 ms (one-fourth of a cycle for 60 Hz AC)?arrow_forwardA flat coil of wire has an inductance of 40.0 mH and a resistance of 4.00 . It is connected to a 20.3-V battery at the instant t = 0. Consider the moment when the current is 3.60 A. (a) At what rate is energy being delivered by the battery? W (b) What is the power being delivered to the resistance of the coil? W (c) At what rate is energy being stored in the magnetic field of the coil? W (d) What is the relationship among these three power values?arrow_forwardAn LR ciruit contains an ideal 60-V battery, a 51-H inductor having no resistance, a 21ohm resistor,and a switch S, all in series. Initially, the switch is open and has been open for a very long time.At time t =0s, the switch is suddenly closed. When the voltage across the resistor is equal to the voltage across the inductor,calculate the current in the circuit.arrow_forward
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