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AC-Circuits

AC-Circuits - AC Circuits AC Circuit The output of an AC...

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AC Circuits

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AC Circuit The output of an AC generator is sinusoidal and varies with time according to the following equation ε is the instantaneous voltage – ε 0 is the peak or maximum emf. ω is the angular frequency. f is the frequency and T is the period Phasor diagrams are useful vectorial representations T 2 f 2 π π ϖ = = t cos 0 ϖ ε ε =
Resistor Circuits The resistor voltage v R where V R is the peak or maximum voltage. The current through the resistor is where I R = V R / R is the peak current. The potential decreases in the direction of the current. Using Kirchhoff’s loop law 0 v V V V R R source = - = + = ε

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Capacitor Circuits a current i c charging a capacitor with capacitance C . the instantaneous capacitor voltage is v c = q/C . When the capacitor is connected across an AC source of emf ε : v c = ε = ε 0 cos ωt. In a more useful form where Vc is the peak or maximum voltage across the capacitor. The current in the cicuit is ( 29 2 t cos CV t sin CV dt dq i C C c π ϖ ϖ ϖ ϖ + = - = =
Capacitive Reactance

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