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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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