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Circuit
Circuit Chart
Solve every open cell for each load and for the circuit totals. Enter magnitudes (no signs). L in mH, C in µF, angles in degrees. For each load, θ is the angle between that load's voltage and current; for the total, between source voltage and total current. Then select whether the circuit is lagging, leading, or at unity.
Given valueNot applicableCircuit totals
Solve the circuit, then check your answers.
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Formula reference
XL = 2πfL XC = 1 / (2πfC) L = XL / 2πf C = 1 / (2πfXC)
Real coil: Zcoil = √(Rcoil² + XL²) Rcoil = Z × PF XL = √(Z² − Rcoil²)
Any load: Z = V / I P = I²R = VR²/R Q = I²X = VX²/X S = V × I = √(P² + Q²) PF = P / S θ = cos⁻¹(PF)
SERIES: I is common RT = ΣR XT = |XL − XC| ZT = √(RT² + XT²)
PARALLEL: V is common Ibranch = V / Zbranch IT = ST / ET ZT = ET / IT
Totals: PT = ΣP QT = |QL − QC| ST = √(PT² + QT²) = ET × IT PF = PT / ST
QL > QC → lagging QC > QL → leading
Real coil: Zcoil = √(Rcoil² + XL²) Rcoil = Z × PF XL = √(Z² − Rcoil²)
Any load: Z = V / I P = I²R = VR²/R Q = I²X = VX²/X S = V × I = √(P² + Q²) PF = P / S θ = cos⁻¹(PF)
SERIES: I is common RT = ΣR XT = |XL − XC| ZT = √(RT² + XT²)
PARALLEL: V is common Ibranch = V / Zbranch IT = ST / ET ZT = ET / IT
Totals: PT = ΣP QT = |QL − QC| ST = √(PT² + QT²) = ET × IT PF = PT / ST
QL > QC → lagging QC > QL → leading