4. Assume the circuit in Figure 21-1 has a power factor of 68%, an apparent power of 300 VA, and a frequency of 400 Hz. The capacitor has a capacitance of 4.7125 μF. Find the missing values. E₁ ER IR. R Z VA 300 PF 68% 10faleen erT P Protiosqs erit 20 The Ec Ic Xc VARSC C 4.7125 μF V-01 pav soso erti to pri eshea OR nA to goib apstlov s asil Nunio 201192 OR NA

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assume the circuit in figure 21-1 has a power factor of 68% an apparemt power of 300 VA and a frequency of 400 hz the capacitor has a capacitance of 4.7125 uf find the missing values.

### Electrical Circuit Problem

**Problem Statement:**
Assume the circuit in Figure 21-1 has the following properties:
- **Power Factor**: 68%
- **Apparent Power**: 300 VA
- **Frequency**: 400 Hz
- **Capacitance**: 4.7125 μF

Find the missing values for the circuit:

**Values to Find:**

1. \( E_T \) (Total Voltage): ______
2. \( E_R \) (Resistive Voltage): ______
3. \( E_C \) (Capacitive Voltage): ______
4. \( I_T \) (Total Current): ______
5. \( I_R \) (Resistive Current): ______
6. \( I_C \) (Capacitive Current): ______
7. \( Z \) (Impedance): ______
8. \( R \) (Resistance): ______
9. \( X_C \) (Capacitive Reactance): ______
10. **VARs** (Reactive Power): ______
11. **P** (Real Power): ______
12. \( \theta \) (Phase Angle): ______

**Given:**
- \( \text{VA} = 300 \)
- Power Factor \( \text{PF} = 68\% \)
- Capacitance \( C = 4.7125 \, \mu\text{F} \)

**Task:**
Calculate the missing values using the given parameters and circuit laws. Consider equations for power factor, real power, reactive power, and the relationships involving impedance, resistance, and reactance.
Transcribed Image Text:### Electrical Circuit Problem **Problem Statement:** Assume the circuit in Figure 21-1 has the following properties: - **Power Factor**: 68% - **Apparent Power**: 300 VA - **Frequency**: 400 Hz - **Capacitance**: 4.7125 μF Find the missing values for the circuit: **Values to Find:** 1. \( E_T \) (Total Voltage): ______ 2. \( E_R \) (Resistive Voltage): ______ 3. \( E_C \) (Capacitive Voltage): ______ 4. \( I_T \) (Total Current): ______ 5. \( I_R \) (Resistive Current): ______ 6. \( I_C \) (Capacitive Current): ______ 7. \( Z \) (Impedance): ______ 8. \( R \) (Resistance): ______ 9. \( X_C \) (Capacitive Reactance): ______ 10. **VARs** (Reactive Power): ______ 11. **P** (Real Power): ______ 12. \( \theta \) (Phase Angle): ______ **Given:** - \( \text{VA} = 300 \) - Power Factor \( \text{PF} = 68\% \) - Capacitance \( C = 4.7125 \, \mu\text{F} \) **Task:** Calculate the missing values using the given parameters and circuit laws. Consider equations for power factor, real power, reactive power, and the relationships involving impedance, resistance, and reactance.
The image depicts an electrical circuit diagram comprising a resistive and capacitive network. Here's a detailed transcription and description:

**Components:**

1. **Voltage Source (ET):** 
   - Labeled as "ET 240 V," indicating a voltage source of 240 volts.

2. **Resistor (R):**
   - Indicated with the symbol for resistance.
   - Labeled as “R 12Ω” with a resistance of 12 ohms.
   - Parameters labeled include:
     - ER: Voltage across the resistor.
     - IR: Current through the resistor.
     - P: Power related to the resistor.

3. **Capacitor (C):**
   - Indicated with the symbol for capacitance.
   - Labeled “XC 16Ω” indicating a capacitive reactance of 16 ohms.
   - Parameters labeled include:
     - Ec: Voltage across the capacitor.
     - Ic: Current through the capacitor.
     - VARsc: Reactive power associated with the capacitor.

4. **Ammeter:**
   - Symbolized by a circle with a letter 'A,' indicating it measures the circuit’s total current (IT).

5. **Impedance and Power Factors:**
   - Z: Impedance of the circuit.
   - VA: Apparent power of the circuit.
   - PF: Power factor of the circuit.
   - θ: Phase angle, shown as an angle symbol.

**Circuit Configuration:**

- The diagram represents a series R-C circuit.
- The resistor and capacitor are connected in series with the voltage source.
- Measurements for current and voltage across each component are indicated, displaying the analysis of power in terms of real (P), reactive (VARsc), and apparent power (VA).

This illustrative diagram serves educational purposes by demonstrating how to calculate various electrical parameters in an AC circuit, including impedance, power factor, and different power magnitudes.
Transcribed Image Text:The image depicts an electrical circuit diagram comprising a resistive and capacitive network. Here's a detailed transcription and description: **Components:** 1. **Voltage Source (ET):** - Labeled as "ET 240 V," indicating a voltage source of 240 volts. 2. **Resistor (R):** - Indicated with the symbol for resistance. - Labeled as “R 12Ω” with a resistance of 12 ohms. - Parameters labeled include: - ER: Voltage across the resistor. - IR: Current through the resistor. - P: Power related to the resistor. 3. **Capacitor (C):** - Indicated with the symbol for capacitance. - Labeled “XC 16Ω” indicating a capacitive reactance of 16 ohms. - Parameters labeled include: - Ec: Voltage across the capacitor. - Ic: Current through the capacitor. - VARsc: Reactive power associated with the capacitor. 4. **Ammeter:** - Symbolized by a circle with a letter 'A,' indicating it measures the circuit’s total current (IT). 5. **Impedance and Power Factors:** - Z: Impedance of the circuit. - VA: Apparent power of the circuit. - PF: Power factor of the circuit. - θ: Phase angle, shown as an angle symbol. **Circuit Configuration:** - The diagram represents a series R-C circuit. - The resistor and capacitor are connected in series with the voltage source. - Measurements for current and voltage across each component are indicated, displaying the analysis of power in terms of real (P), reactive (VARsc), and apparent power (VA). This illustrative diagram serves educational purposes by demonstrating how to calculate various electrical parameters in an AC circuit, including impedance, power factor, and different power magnitudes.
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