Series and Parallel RCL Circuits Fundamentals

Series and Parallel RCL Circuits Fundamentals

(non-resonant conditions)

Series RCL circuit

R 100 V1 125 Vrms 0 Hz 0?

XL 50 Ohms

XC 125 Ohms

X = ?

VR = ?

ZT = ?

VC = ?

I = ?

VL = ?

Z = ?

Also determine Real Power, Apparent Power and Power Factor

Calculations to determine phasor values

? Net Reactance (X) = XL ? XC = 50 - 125 = -75

? This tells us that the overall phase angle will be in the fourth quadrant (XC > XL). The formula is written specifically as the leading minus the lagging.

? ZT = 2 + 2 = -752 + 1002 = 5625 + 10000 = 15625 = 125

?

I

=

=

125 125

=

1A

? Since this is a series circuit, all currents are the

same (only one path)

? VR = IR = 1A ? 100 = 100v ? VC = IXC = 1A ? 125 = 125v ? VL = IXL = 1A ? 50 = 50v

? We could double check using the formula VT =

- 2 + 2, but since the values of

voltage are the same as the values of resistance/reactance, this will not be necessary.

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