2-1 Determine Zrexpressed in phasor form. R L = 0.3 H v = 240 sin(120 n t) (AC C- 40 μ R = 22 Q 2-2 What is the current through the capacitor? R=12 XL=842 I= 5AZ30° Xc=20

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**2-1 Determine \( Z_T \) Expressed in Phasor Form**

The first diagram is an RLC series circuit driven by an AC voltage source. The given elements and their values are:
- Resistor (\( R \)) = 22 \(\Omega\)
- Capacitor (\( C \)) = 40 \(\mu F\)
- Inductor (\( L \)) = 0.3 H

The AC voltage source is described by the function:
\[ v = 240 \sin(120 \pi t) \]

**Objective:** Calculate the total impedance \( Z_T \) expressed in phasor form.

---

**2-2 What is the Current Through the Capacitor?**

The second diagram shows a series RLC circuit where:
- Resistor \( R = 1 \Omega \)
- Inductive Reactance \( X_l = 8 \Omega \)
- Capacitive Reactance \( X_c = 2 \Omega \)

The source current is given as:
\[ I = 5 \angle 30^\circ \]

**Objective:** Determine the current through the capacitor.
Transcribed Image Text:**2-1 Determine \( Z_T \) Expressed in Phasor Form** The first diagram is an RLC series circuit driven by an AC voltage source. The given elements and their values are: - Resistor (\( R \)) = 22 \(\Omega\) - Capacitor (\( C \)) = 40 \(\mu F\) - Inductor (\( L \)) = 0.3 H The AC voltage source is described by the function: \[ v = 240 \sin(120 \pi t) \] **Objective:** Calculate the total impedance \( Z_T \) expressed in phasor form. --- **2-2 What is the Current Through the Capacitor?** The second diagram shows a series RLC circuit where: - Resistor \( R = 1 \Omega \) - Inductive Reactance \( X_l = 8 \Omega \) - Capacitive Reactance \( X_c = 2 \Omega \) The source current is given as: \[ I = 5 \angle 30^\circ \] **Objective:** Determine the current through the capacitor.
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In the given question, We have to determine the value of ZT in part(a)  and current through the capacitor in part(b).

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