Concept explainers
Making use of the passive sign convention, determine the current flowing through a 100 pF capacitor for t ≥ 0 if its voltage vC(t) is given by (a) 5 V; (b) 10e−t V; (c) 2 sin 0.01t V; (d) −5 + 2 sin 0.01t V.
(a)
Find the current flowing through a
Answer to Problem 1E
The current flowing through the capacitor is
Explanation of Solution
Given Data:
The voltage across the capacitor is
The capacitance of the capacitor is
Formula used:
The expression for the current in the capacitor is given as follows,
Here,
Calculation:
Substitute
Conclusion:
Thus, the current flowing through the capacitor is
(b)
The current flowing through a
Answer to Problem 1E
The current flowing through the capacitor is
Explanation of Solution
Given Data:
The voltage across the capacitor is
The capacitance of the capacitor is
Calculation:
Substitute
Conclusion:
Thus, the current flowing through the capacitor is
(c)
The current flowing through a
Answer to Problem 1E
The current flowing through the capacitor is
Explanation of Solution
Given Data:
The voltage across the capacitor is
The capacitance of the capacitor is
Calculation:
Substitute
Conclusion:
Thus, the current flowing through the capacitor is
(d)
The current flowing through a
Answer to Problem 1E
The current flowing through the capacitor is
Explanation of Solution
Given Data:
The voltage across the capacitor is
The capacitance of the capacitor is
Calculation:
Substitute
Conclusion:
Thus, the current flowing through the capacitor is
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