Concept explainers
(a) To determine:
After how many times constant does the current reaches 10% of its maximum value
Answer to Problem 51P
Solution:
The current reaches 10% of its maximum value after time constant.
Explanation of Solution
Given:
LR circuit diagram
Figure.1
Formula used:
In LR circuit the current at any time is given as
Here,
is the current at any time
is the maximum current of the circuit
is the time
is the time constant
Calculation:
In LR circuit the current at any time is given as
Plugging the values in the above equation
(b) To determine:
After how many times constant does the current reaches 1% of its maximum value
Answer to Problem 51P
Solution:
The current reaches 1% of its maximum value after time constant.
Explanation of Solution
Given:
LR circuit diagram
Figure.1
Formula used:
In LR circuit the current at any time is given as
Here,
is the current at any time
is the maximum current of the circuit
is the time
is the time constant
Calculation:
In LR circuit the current at any time is given as
Plugging the values in the above equation
(c) To determine:
After how many times constant does the current reaches 0.1% of its maximum value
Answer to Problem 51P
Solution:
The current reaches 0.1% of its maximum value after time constant.
Explanation of Solution
Given:
LR circuit diagram
Figure.1
Formula used:
In LR circuit the current at any time is given as
Here,
is the current at any time
is the maximum current of the circuit
is the time
is the time constant
Calculation:
In LR circuit the current at any time is given as
Plugging the values in the above equation
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Physics: Principles with Applications
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