Formula Sheet - Summary Circuit Analysis PDF

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Summary

All formulae for the course...

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Formula Sheet for Circuit Analysis 2015-2016 Volts

V=

dW dQ

Effective Resistance Series

V = voltage in volts W = energy in joules Q = charge in coulombs

Reff   Ri

Current

Parallel

i

1 1  Reff i Ri

dQ I= dt I = current in amperes Q = charge in coulombs t = time in seconds Ohm’s Law V=IR V = voltage in volts, I = current in amperes, R = resistance in ohms.

Effective Inductance

DC Electrical Power P=VI

Parallel

Series

Leff   Li i

1 1  Leff i Li

P = electrical power in watts V = voltage in volts I = current in amperes. AC Electrical Power (Real Power)

P=

Effective Capacitance

V0 I 0 cos( ) 2

Series

P = power in watts, V0 = Voltage amplitude in volts I0 = the current amplitude in amperes. θ = the power factor (degrees or radians)

Parallel

Resistivity

R

1 1  Ceff i Ci

l

Ceff  Ci

A

i

R = resistance in ohms ρ = resistivity in ohm metres l = length in metres A = cross sectional area in square metres

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Capacitance Q=CV Q = charge in coulombs C = capacitance in farad’s. V = voltage in volts Impedance Resistor

ZR  R ZR = impedance in ohms R = resistance in ohms Capacitor

ZC   j

1 C

ZC = complex impedance of the capacitor in ohms j = the imaginary unit that satisfies the equation j2 = -1 ω = the angular frequency in radians per second C = capacitance in farad’s. Inductor

ZL  jL ZL = complex impedance of the inductor in ohms j = the imaginary unit that satisfies the equation j2 = -1 ω = the angular frequency in radians per second L = inductance in henries. Δ-Y Transform RY = Product of adjacent Δ resistors Sum of all three Δ resistors Y-Δ Transform RΔ = Sum of Product of all pairs in the Y circuit Opposite resistor in Y circuit

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