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Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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![**Problem 8.28: Find \( v_S(t) \) in the circuit in Fig. P8.28.**
**Figure P8.28 Description:**
This figure represents an electrical circuit composed of:
- A voltage source labeled \( v_S(t) \).
- A resistor with a resistance of \( 40 \, \Omega \), represented by a zigzag line.
- A capacitor with a capacitance of \( 25 \, \mu F \), depicted by two parallel lines with a gap between them, indicating the capacitor's plates.
- The voltage across the capacitor is given by the expression \( v_C(t) = 80 \cos (1000t - 60^\circ) \, \text{V} \).
The components are connected in series to form a closed loop, with the polarity of the voltage source and the capacitor indicated by plus and minus signs.](https://content.bartleby.com/qna-images/question/0599d361-e78a-47ec-83b2-677e1fd706fd/93cdcba9-85bc-4671-8375-155aa2201727/afvog66_thumbnail.png)
Transcribed Image Text:**Problem 8.28: Find \( v_S(t) \) in the circuit in Fig. P8.28.**
**Figure P8.28 Description:**
This figure represents an electrical circuit composed of:
- A voltage source labeled \( v_S(t) \).
- A resistor with a resistance of \( 40 \, \Omega \), represented by a zigzag line.
- A capacitor with a capacitance of \( 25 \, \mu F \), depicted by two parallel lines with a gap between them, indicating the capacitor's plates.
- The voltage across the capacitor is given by the expression \( v_C(t) = 80 \cos (1000t - 60^\circ) \, \text{V} \).
The components are connected in series to form a closed loop, with the polarity of the voltage source and the capacitor indicated by plus and minus signs.
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Based on given circuit is Series circuit. In series circuits current is same in all elements but voltage is distributed based on their Impedance values.
Here is given as
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