Concept explainers
(a)
Find the instantaneous voltage of
(a)
Answer to Problem 30E
The instantaneous voltage of
Explanation of Solution
Given data:
Formula used:
Consider the Euler’s identity,
Consider the general expression for voltage response.
The complex form of voltage response is,
Calculation:
Consider the general expression for frequency in terms of
Substitute
The cosine function of phasor expression
Substitute
Simplify the equation as follows.
Substitute
Simplify the equation as follows.
Conclusion:
Thus, the instantaneous voltage of
(b)
Find the instantaneous voltage of
(b)
Answer to Problem 30E
The instantaneous voltage of
Explanation of Solution
Given data:
Calculation:
Simplify equation (2) in single complex form.
The cosine function of phasor expression
Substitute
Simplify the equation as follows.
Substitute
Simplify the equation as follows.
Conclusion:
Thus, the instantaneous voltage of
(c)
Find the instantaneous voltage of
(c)
Answer to Problem 30E
The instantaneous voltage of
Explanation of Solution
Given data:
Calculation:
Simplify equation (5) in single complex form.
The cosine function of phasor expression
Substitute
Simplify the equation as follows.
Substitute
Simplify the equation as follows.
Conclusion:
Thus, the instantaneous voltage of
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Chapter 10 Solutions
Engineering Circuit Analysis
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