Concept explainers
The magnitude of at time , and also show that the current reaches its maximum value in one time constant
Answer to Problem 50P
Solution:
The magnitude of at time is
It has been showed that the current will reach its maximum value in one 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 initial current of the circuit
is the time
is the time constant
Calculation:
In LR circuit the current at any time is given as
Differentiate the above equation with respect to time
…… (1)
Now substitute in the above equation
To determine the maximum value of Current
Substitute the values from Eq. (1)
Therefore if the current will keep increasing at this rate the current will reach it’s maximum value in one time constant.
Chapter 21 Solutions
Physics: Principles with Applications
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