assume that tthe circuit shown in figure 21-1 is connected to a 480 v 60 hz line. the capcitor has a capacitance of 165.782 uf and the resistor has a resistance of 12 ohmas find the missing valuses. The diagram represents an electrical circuit with both resistive and capacitive components. Here is a detailed explanation of the circuit components:1. **Voltage Source**: The circuit is powered by an AC voltage source labeled as "ET 240 V," indicating that it provides 240 volts.2. **Resistor**: - Labeled "R." - Has a resistance value of 12 ohms (Ω). - Associated parameters include: - \( IR \): Current through the resistor. - \( ER \): Voltage across the resistor. - \( P \): Power dissipated by the resistor.3. **Capacitor**: - Labeled "C." - Has a capacitive reactance of \( X_C = 16 Ω \). - Associated parameters include: - \( I_C \): Current through the capacitor. - \( E_C \): Voltage across the capacitor. - \( \text{VARSc} \): Reactive power in volt-amperes reactive (VARs).4. **Measurement Point**: - There is a measurement point, possibly representing an ammeter or voltmeter (the symbol near "VA"). - The following parameters might be measured: - \( I_T \): Total current in the circuit. - Z: Impedance of the circuit. - \( \text{VA} \): Apparent power in volt-amperes (VA). - \( \text{PF} \): Power factor, with an angle \( θ \).**Figure Reference**: - The diagram is labeled as "FIGURE 21-1" in an educational context, likely part of a textbook or a course material discussing AC circuits and the interaction between resistive and capacitive components.This representation can be used to study the behavior of AC circuits, power calculation, impedance, and phase relationships between current and voltage. **Problem Statement:**1. Assume that the circuit shown in Figure 21-1 is connected to a 480-V, 60-Hz line. The capacitor has a capacitance of 165.782 µF, and the resistor has a resistance of 12 Ω. Find the missing values.**Given Data:**- Voltage, \( E = 480 \) V- Resistance, \( R = 12 \) Ω- Capacitance, \( C = 165.782 \) µF**To Find:**- \( Z \) (Impedance)- \( I_T \) (Total current)- \( E_R \)- \( I_R \)- \( E_C \)- \( I_C \)- \( X_C \) (Capacitive reactance)- \( VARS \)- \( VA \)- \( PF \) (Power factor)- \( P \) (Real power)- \( \theta \) (Phase angle)**Explanation:**The setup involves a resistor and capacitor connected to an AC source. The information provided suggests a need to calculate the collective properties of impedance in the circuit, analyze individual components, and determine both the real and reactive power.**Calculation Guidance:**1. Use the formulas for capacitive reactance and impedance: \[ X_C = \frac{1}{2 \pi f C} \] \[ Z = \sqrt{R^2 + X_C^2} \]2. Find the currents and voltages across the resistor and capacitor using Ohm's Law: \[ I_R = \frac{E_R}{R} \] \[ I_C = \frac{E_C}{X_C} \]3. Calculate power values: \[ P = VI \cos \theta \] \[ VARS = VI \sin \theta \]4. The power factor is given by: \[ PF = \cos \theta = \frac{P}{\text{VA}} \]These calculations will provide insight into the behavior of the circuit components under AC conditions.

Answered: Image /qna-images/answer/2d64af70-83bf-499b-a8a0-12b44f25aa79.jpg

Answered: assume that tthe circuit shown in…

assume that tthe circuit shown in figure 21-1 is connected to a 480 v 60 hz line. the capcitor has a capacitance of 165.782 uf and the resistor has a resistance of 12 ohmas find the missing valuses.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: A RC circuit has a reactance magnitude of 820 ohm and 10 V AC voltage. What is the resistance…

A: In any circuit, the magnitude of the total impedance is the ratio of voltage supplied to the circuit…

Q: The voltage rating of a capacitor used in an AC circuit refers to the maximum voltage. O continuous…

Q: What are the types of semicondoctors available

A: The objective of the question is to identify and describe the different types of semiconductors…

Q: Find Leq In below figure.

A: Given circuit is drawn below:To find:

Q: An inductor and resistor are connected in parallel to a 120-V, 60-Hz line. The resistor has a…

A: Given: Inductor, L=0.2 H, Resistance, R=50 Ω, Frequency, f=60 Hz, Voltage, V=120 V.

Q: An RC series circuit is connected to a 120 volt, 60 Hz line. The capacitor has a voltage drop of 84…

Q: A Resistor and an Inductor of negligible Resistance are connected in series to an AC Supply The PD…

A: When a resistor and an inductor are connected in series to an AC supply, the voltage across the…

Q: By convention, the sign of reactive power to an inductance is and the sign of reactive power to a…

Q: a resistor and and capacitor are connected in parallel to a 277 v 60 hz power source. the resistor…

Q: In a series LR circuit, the reactance of the inductance is 520 ohm. What will be the value of the…

A: If an inductor of inductance L H is present in a series circuit and if the frequency of the ac…

Q: 4. Assume the circuit in Figure 21-1 has a power factor of 68%, an apparent power of 300 VA, and a…

Q: Determine the waveform on the load: a) If this were a resistance b) If this were a capacitor

A: a) for resistive load

Q: What is the equivalent inductance of five 10 milliHenry inductors in a series?

A: Given data: The given value of each inductance is L=10 mH

Q: The circuit is in continuity mode before the switch is opened. What is the initial voltage of the…

A: The objective of the question is to determine the initial voltage across the capacitor before the…

Question

assume that tthe circuit shown in figure 21-1 is connected to a 480 v 60 hz line. the capcitor has a capacitance of 165.782 uf and the resistor has a resistance of 12 ohmas find the missing valuses.

The diagram represents an electrical circuit with both resistive and capacitive components. Here is a detailed explanation of the circuit components:

1. **Voltage Source**: The circuit is powered by an AC voltage source labeled as "ET 240 V," indicating that it provides 240 volts.

2. **Resistor**:
- Labeled "R."
- Has a resistance value of 12 ohms (Ω).
- Associated parameters include:
- \( IR \): Current through the resistor.
- \( ER \): Voltage across the resistor.
- \( P \): Power dissipated by the resistor.

3. **Capacitor**:
- Labeled "C."
- Has a capacitive reactance of \( X_C = 16 Ω \).
- Associated parameters include:
- \( I_C \): Current through the capacitor.
- \( E_C \): Voltage across the capacitor.
- \( \text{VARSc} \): Reactive power in volt-amperes reactive (VARs).

4. **Measurement Point**:
- There is a measurement point, possibly representing an ammeter or voltmeter (the symbol near "VA").
- The following parameters might be measured:
- \( I_T \): Total current in the circuit.
- Z: Impedance of the circuit.
- \( \text{VA} \): Apparent power in volt-amperes (VA).
- \( \text{PF} \): Power factor, with an angle \( θ \).

**Figure Reference**:
- The diagram is labeled as "FIGURE 21-1" in an educational context, likely part of a textbook or a course material discussing AC circuits and the interaction between resistive and capacitive components.

This representation can be used to study the behavior of AC circuits, power calculation, impedance, and phase relationships between current and voltage.

**Problem Statement:**

1. Assume that the circuit shown in Figure 21-1 is connected to a 480-V, 60-Hz line. The capacitor has a capacitance of 165.782 µF, and the resistor has a resistance of 12 Ω. Find the missing values.

**Given Data:**
- Voltage, \( E = 480 \) V
- Resistance, \( R = 12 \) Ω
- Capacitance, \( C = 165.782 \) µF

**To Find:**

- \( Z \) (Impedance)
- \( I_T \) (Total current)
- \( E_R \)
- \( I_R \)
- \( E_C \)
- \( I_C \)
- \( X_C \) (Capacitive reactance)
- \( VARS \)
- \( VA \)
- \( PF \) (Power factor)
- \( P \) (Real power)
- \( \theta \) (Phase angle)

**Explanation:**
The setup involves a resistor and capacitor connected to an AC source. The information provided suggests a need to calculate the collective properties of impedance in the circuit, analyze individual components, and determine both the real and reactive power.

**Calculation Guidance:**
1. Use the formulas for capacitive reactance and impedance:
\[
X_C = \frac{1}{2 \pi f C}
\]
\[
Z = \sqrt{R^2 + X_C^2}
\]

2. Find the currents and voltages across the resistor and capacitor using Ohm's Law:
\[
I_R = \frac{E_R}{R}
\]
\[
I_C = \frac{E_C}{X_C}
\]

3. Calculate power values:
\[
P = VI \cos \theta
\]
\[
VARS = VI \sin \theta
\]

4. The power factor is given by:
\[
PF = \cos \theta = \frac{P}{\text{VA}}
\]

These calculations will provide insight into the behavior of the circuit components under AC conditions.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is the current in the inductor ILO in continuity mode before opening the switch. R₁ Select one: O a. I = O b. I = E R₁ R₂ R₁+R₂ = E R₂ O c. I=0 O d. I E R₁ E k R₂ ILO L
A non polarized capacitor is connected in DC circuit. Is there a danger of damaging the capacitor when the power turned on?
Please solve the marked question.
Draw the charging and discharging waveform if the switch changed position precisely when the capacitor reached 5 time constants when charging and discharging.
17. The voltage rating of a capacitor .rin Industy beonuse it hes - a. should never be exceeded b. is a minimum working voltage c. is only a suggested maximum d. can be exceeded as long as the time is under one hour
QUESTION 9 E-06, PC-02. Three inductors 5 mH, 15 mH and 25 mH are connected in series. What is the total inductance? 5 mH. 45mH. Without knowing the coupling factor the total inductance cannot be found. QUESTION 10 E-06, PC-05. An inductor is said to be saturated when? The current through it is zero. The current is at a maximum. It will no longer accept lines of flux.
A B D E F H Which point in the figure is 180° away from point E? J