A single-loop series RLC circuit is connected to an 30 V ac voltage generator with a frequency of 60.0 Hz. The resistance is R = 240 Q2, the inductance is L = 210 mH, and the capacitance is C = 14.5 µF. When the generator emf is a maximum, what is the voltage across (a) the generator, (b) the resistance, (c) the capacitance and (d) the inductance? (a) Number i (b) Number (c) Number (d) Number i i i Units V Units V Units V Units V

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**RLC Circuit Problem**

A single-loop series **RLC circuit** is connected to a 30 V AC voltage generator with a frequency of 60.0 Hz. The resistance is \( R = 240 \, \Omega \), the inductance is \( L = 210 \, \text{mH} \), and the capacitance is \( C = 14.5 \, \mu\text{F} \).

When the generator emf is at a maximum, what is the voltage across the following components?

(a) **The Generator**

   - Input your answer: [   ] V

(b) **The Resistance**

   - Input your answer: [   ] V

(c) **The Capacitance**

   - Input your answer: [   ] V

(d) **The Inductance**

   - Input your answer: [   ] V

**Explanation of Sections:**

- **(a) The Generator:** Determine the peak voltage value across the generator.
- **(b) The Resistance:** Calculate the voltage drop across the resistor using Ohm’s law in the context of AC circuits.
- **(c) The Capacitance:** Find the voltage across the capacitor, considering the capacitive reactance at the given frequency.
- **(d) The Inductance:** Calculate the voltage across the inductor, accounting for the inductive reactance at the specified frequency.

Complete the answers by placing numerical values in the boxes provided.
Transcribed Image Text:**RLC Circuit Problem** A single-loop series **RLC circuit** is connected to a 30 V AC voltage generator with a frequency of 60.0 Hz. The resistance is \( R = 240 \, \Omega \), the inductance is \( L = 210 \, \text{mH} \), and the capacitance is \( C = 14.5 \, \mu\text{F} \). When the generator emf is at a maximum, what is the voltage across the following components? (a) **The Generator** - Input your answer: [ ] V (b) **The Resistance** - Input your answer: [ ] V (c) **The Capacitance** - Input your answer: [ ] V (d) **The Inductance** - Input your answer: [ ] V **Explanation of Sections:** - **(a) The Generator:** Determine the peak voltage value across the generator. - **(b) The Resistance:** Calculate the voltage drop across the resistor using Ohm’s law in the context of AC circuits. - **(c) The Capacitance:** Find the voltage across the capacitor, considering the capacitive reactance at the given frequency. - **(d) The Inductance:** Calculate the voltage across the inductor, accounting for the inductive reactance at the specified frequency. Complete the answers by placing numerical values in the boxes provided.
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