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The alternating current and voltage in a circuit are i = 10 sin(120πt + π/6) and V = 120 sin(120πt + π/2)

Determine the following:

1
Amplitude of the circuit current
2
Period of the time-varying current and voltage
3
Initial phase angle that would allow us to write V = Vm sin2πft
4
Time when V = 60.0 V
5
Phase angle difference between i and V

The components of the RLC series circuit shown below have the values R = 100 Ω, L = 0.300 H, C = 4.00 × 10-5 F, and the circuit is powered by a 120-V, 60.0 Hz source.

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Determine the following:

6
Inductive reactance
7
Capacitance reactance
8
Total impedance
9
Maximum circuit current
10
Phase angle between circuit current and the potential difference across the resistor
11
Phase angle between circuit current and the potential difference across the capacitor
12
Phase angle between circuit current and the potential difference across the inductor
13
Phase angle between circuit current and the potential difference across the entire circuit
14
Maximum potential difference across the resistor
15
Maximum potential difference across the capacitor
16
Maximum potential difference across the inductor
17
Power factor
18
Value of the capacitance that brings this circuit into resonance
19
Maximum circuit current at resonance
20
Power factor at resonance
21
Average power delivered to circuit at resonance
22
Maximum potential drop across the resistor at resonance
23
Average power loss to the capacitor at resonance







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