NICK'S ELECTRICAL TEST EQUIPMENT

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Phasor diagram + Current Amplitude, Capacitance & Inductance?

The phasor diagram for a particular RLC series circuit is shown in the figure. If the circuit has a resistance of 115 Ω and is driven at a frequency of 55 Hz, find the quantities listed below.

Emf = sqrt(VR^2 + (VL - VC)^2) = sqrt(10^2 +( 15- 7)^2) = 12.8 V

VR = I*R so I = VR/115 = 10/115 = 0.0870A

So XC = VC/I = 7/0.0870 = 80.5Ω Therefore XC = 1/ωC so C = 1/(ω*XC) = 1/(2π*55*80.5) = 3.59x10^-5F

now XL = VL/I = 15/0.0870 = 172.4Ω

So XL = ωL => L = XL/2π*55 = 172.4/(2π*55) = 0.499H

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