Concept explainers
The current through an element is shown in
- (a) t = 1 s
- (b) t = 3 s
- (c) t = 5 s
Figure 1.26
For Prob. 1.9.
Fig. 1.26. Determine the total charge that passed through the element at:
(a)
Find the total charge flows through the element at
Answer to Problem 9P
The total charge flows through the element at
Explanation of Solution
Given data:
Refer to Figure 1.26 in the textbook to solve the required objective.
Formula used:
Write the expression for charge entering to an element from
Here,
Calculation:
The given figure is a waveform of electric current versus time.
As the time
From the given figure, the current for the interval
Substitute 10 A for
Simplify the expression as follows:
Conclusion:
Thus, the total charge flows through the element at
(b)
Find the total charge flows through the element at
Answer to Problem 9P
The total charge flows through the element at
Explanation of Solution
Calculation:
As the time
Substitute 0 s for
Rewrite the expression as follows:
Calculate the expression for current from 1 s to 2 s as follows:
From the given figure, the current is 10 A during 0 to 1 s,
Simplify the expression as follows:
Conclusion:
Thus, the total charge flows through the element at
(c)
Find the total charge flows through the element at
Answer to Problem 9P
The total charge flows through the element at
Explanation of Solution
Calculation:
As the time
Substitute 0 s for
Rewrite the expression as follows:
From Part (b), the current for 1 s to 2 s is
Calculate the expression for current from 4 s to 5 s as follows:
From the given figure, the current is 10 A during 0 to 1 s,
Simplify the expression as follows:
Conclusion:
Thus, the total charge flows through the element at
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Chapter 1 Solutions
Connect 2 Semester Access Card for Fundamentals of Electric Circuits
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