Concept explainers
Find the charge q(t) flowing through a device if the current is:
- (a) i(t) = 3 A, q(0) = 1 C
- (b) i(t) = (2t + 5) mA, q(0) = 0
- (c) i(t) = 20 cos(10t + π/6) μA, q(0) = 2μC
- (d) i(t) = 10e‒30t sin 40t A, q (0) = 0
(a)
Calculate the charge
Answer to Problem 3P
The charge
Explanation of Solution
Given data:
The current flowing through the device
The charge at initial state
Formula used:
Write the expression for charge entering to the device as follows:
Here,
Calculation:
Substitute 3 A for
Conclusion:
Thus, the charge
(b)
Calculate the charge
Answer to Problem 3P
The charge
Explanation of Solution
Given data:
The current flowing through the device
The charge at initial state
Calculation:
Substitute
Conclusion:
Thus, the charge
(c)
Calculate the charge
Answer to Problem 3P
The charge
Explanation of Solution
Given data:
The current flowing through the device
The charge at initial state
Calculation:
Substitute
Conclusion:
Thus, the charge
(d)
Calculate the charge
Answer to Problem 3P
The cha charge
Explanation of Solution
Given data:
The current flowing through the device
The charge at initial state
Calculation:
Substitute
Simplify the expression as follows:
Conclusion:
Thus, the charge
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