Problem Four. In the circuit shown, L = 200 mH, and C = 60.0 μF, and the impedance is Z = 50.0 2. The AC power source has AVmax = 200 V and f= 60.0 Hz. Calculate the following quantities. 14. the RMS current (in amps) (A) 1.60 (B) 2.83 (C) 4.78 15. the maximum voltage across the inductor (in volts) (A) 178 (B) 586 (C) 436 18. the resonant frequency (in radian/sec) (A) 32.6 (B) 29.2 |--Δυρ-Δύο-Δυο- m (C) 40.5 AUR (D) 7.56 (D) 302 16. the phase angle between the current and the source voltage (in radians) (A) -0.325 (B) 0.256 (C) -0.243 (D) 0.557 R (D) 51.6 L (E) 9.45 (E) 576 (E) 0.674 (E) 45.9 C

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**Problem Four.** In the circuit shown, L = 200 mH, and C = 60.0 μF, and the impedance is Z = 50.0 Ω. The AC power source has ΔV_max = 200 V and f = 60.0 Hz. Calculate the following quantities.

**Diagram:**
The diagram represents an electric circuit consisting of a resistor (R), an inductor (L), and a capacitor (C) connected in series with an AC voltage source. Voltage drops across each component are labeled as Δv_R, Δv_L, and Δv_C respectively.

**Questions:**

14. **The RMS current (in amps)**
   - (A) 1.60 
   - (B) 2.83 
   - (C) 4.78 
   - (D) 7.56 
   - (E) 9.45 

15. **The maximum voltage across the inductor (in volts)**
   - (A) 178 
   - (B) 586 
   - (C) 436 
   - (D) 302 
   - (E) 576 

16. **The phase angle between the current and the source voltage (in radians)**
   - (A) –0.325 
   - (B) 0.256 
   - (C) –0.243 
   - (D) 0.557 
   - (E) 0.674 

18. **The resonant frequency (in radian/sec)**
   - (A) 32.6 
   - (B) 29.2 
   - (C) 40.5 
   - (D) 51.6 
   - (E) 45.9
Transcribed Image Text:**Problem Four.** In the circuit shown, L = 200 mH, and C = 60.0 μF, and the impedance is Z = 50.0 Ω. The AC power source has ΔV_max = 200 V and f = 60.0 Hz. Calculate the following quantities. **Diagram:** The diagram represents an electric circuit consisting of a resistor (R), an inductor (L), and a capacitor (C) connected in series with an AC voltage source. Voltage drops across each component are labeled as Δv_R, Δv_L, and Δv_C respectively. **Questions:** 14. **The RMS current (in amps)** - (A) 1.60 - (B) 2.83 - (C) 4.78 - (D) 7.56 - (E) 9.45 15. **The maximum voltage across the inductor (in volts)** - (A) 178 - (B) 586 - (C) 436 - (D) 302 - (E) 576 16. **The phase angle between the current and the source voltage (in radians)** - (A) –0.325 - (B) 0.256 - (C) –0.243 - (D) 0.557 - (E) 0.674 18. **The resonant frequency (in radian/sec)** - (A) 32.6 - (B) 29.2 - (C) 40.5 - (D) 51.6 - (E) 45.9
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