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AC Power: A Worked Example

ac power : A Worked ExampleAndrew McHutchonApril 22, 2013 The voltage in a circuit is V= 240 0and the impedance of the circuit at 50Hz is Z= 48 + the following we work through the analysis of this setup, tackling many of the calculations you will be requiredto make in the Cambridge 1A course. A notational note: V, I, and Z, are used to represent complex quantitieswith a magnitude and phase;V,I, andZare used to represent their polar setupWhat does this circuit look like? The truth is we don t know. It could be made up of many different componentswhich combine to give this impedance. The imaginary component of the impedance (called thereactance) ispositive and this implies that the circuit is overallinductiverather than capacitive. This means that we can modelthe circuit using just a resistor and an inductor. But in which configuration should we place the resistor andinductor: in series or parallel (see figure 1)?

AC Power: A Worked Example Andrew McHutchon April 22, 2013 The voltage in a circuit is V~ = 240\0 and the impedance of the circuit at 50Hz is Z~ = 48 + j36.

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