5. Consider the circuit shown. Let V(t) = 10 sin(8000 π t) V > V (H) a + + YR mm- 1 100_22 + VL 320m H Find the total impedance ZT in polar form 2. 6. Draw the impedance diagram. Find a sinusoidal expression for V, (t). S. d. Find Sinusoidal expression for ilt).

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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### Circuit Analysis Problem

Consider the circuit shown with the following parameters:

- \( V(t) = 10 \sin(8000\pi t) \text{ V} \)

**Circuit Description:**

- A voltage source \( V(t) \) is connected in series with a resistor of \( 100 \, \Omega \) and an inductor of \( 20 \, \text{mH} \).
- The current through the circuit is represented by \( i \).
- The voltage across the resistor is denoted as \( V_R \).
- The voltage across the inductor is denoted as \( V_L \).

**Tasks:**

a. Find the total impedance \( Z_T \) in polar form.

b. Draw the impedance diagram.

c. Find a sinusoidal expression for \( V_L(t) \).

d. Find a sinusoidal expression for \( i(t) \).
Transcribed Image Text:### Circuit Analysis Problem Consider the circuit shown with the following parameters: - \( V(t) = 10 \sin(8000\pi t) \text{ V} \) **Circuit Description:** - A voltage source \( V(t) \) is connected in series with a resistor of \( 100 \, \Omega \) and an inductor of \( 20 \, \text{mH} \). - The current through the circuit is represented by \( i \). - The voltage across the resistor is denoted as \( V_R \). - The voltage across the inductor is denoted as \( V_L \). **Tasks:** a. Find the total impedance \( Z_T \) in polar form. b. Draw the impedance diagram. c. Find a sinusoidal expression for \( V_L(t) \). d. Find a sinusoidal expression for \( i(t) \).
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