32. find the capacitance of the capacitor. 33. find the average power dissipated by the resistor. 34. At what frequency will this circuit have resonance?

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Chapter1: Units, Trigonometry. And Vectors
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Questions 32 33 and 34

**RLC Circuit Educational Explanation**

In the following RLC circuit:

- Resistance (R) = 180 Ω
- Inductance (L) = 500 mH
- Capacitance (C) is to be determined.

An AC signal with a frequency of 60 Hz and an RMS voltage of 120 V is applied to the circuit, resulting in an RMS current of 0.600 A.

**Diagram Description:**

The diagram shows a series RLC circuit with three components:

1. **R**: A resistor.
2. **L**: An inductor.
3. **C**: A capacitor.

The circuit is powered by an AC voltage source denoted by the sine wave symbol labeled with V.

**Questions:**

29. Find the impedance of the circuit.

30. Find the inductive reactance of the inductor.

This information is useful for understanding how RLC circuits behave under alternating current scenarios, allowing the calculation of key parameters like impedance and reactance which are vital for circuit analysis and design.
Transcribed Image Text:**RLC Circuit Educational Explanation** In the following RLC circuit: - Resistance (R) = 180 Ω - Inductance (L) = 500 mH - Capacitance (C) is to be determined. An AC signal with a frequency of 60 Hz and an RMS voltage of 120 V is applied to the circuit, resulting in an RMS current of 0.600 A. **Diagram Description:** The diagram shows a series RLC circuit with three components: 1. **R**: A resistor. 2. **L**: An inductor. 3. **C**: A capacitor. The circuit is powered by an AC voltage source denoted by the sine wave symbol labeled with V. **Questions:** 29. Find the impedance of the circuit. 30. Find the inductive reactance of the inductor. This information is useful for understanding how RLC circuits behave under alternating current scenarios, allowing the calculation of key parameters like impedance and reactance which are vital for circuit analysis and design.
### Circuit Analysis Questions

**32.** Find the capacitance of the capacitor.

**33.** Find the average power dissipated by the resistor.

**34.** At what frequency will this circuit have resonance?

**35.** Find the phasor angle between the voltage and current in the circuit. 

These questions focus on analyzing various aspects of an electrical circuit, including the behavior of capacitors, resistors, circuit resonance, and the relationship between voltage and current using phasor angles.
Transcribed Image Text:### Circuit Analysis Questions **32.** Find the capacitance of the capacitor. **33.** Find the average power dissipated by the resistor. **34.** At what frequency will this circuit have resonance? **35.** Find the phasor angle between the voltage and current in the circuit. These questions focus on analyzing various aspects of an electrical circuit, including the behavior of capacitors, resistors, circuit resonance, and the relationship between voltage and current using phasor angles.
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