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6°. For this reason, care must be taken in determining phase angles from rectangular forms: check the quadrant! 3 Circuit analysis with A C The techniques for AC circuit analysis are essentially the same as for DC analysis, except that the circuits are in the phasor domain and complex numbers are used. With minor modifications - often just replacing resistance by impedance - all the circuit theorems discussed in the previous chapter can be used for AC circuits; in particular we shall consider first the use of Thevenin's and Norton's theorems.
63exp( -1 OOt) A? s. current during this time? 24 is used to measure the value of R using a resistanceless galvanometer to detect imbalance. JA, what is the percentage error in R? 25 no energy is stored at time t = 0. fc is 20t rnA and starts from zero at t = 0. 3 s? 50 be satisfied. 01 F 2 Sinusoidally-excited circuits H ITHERTO techniques for circuit analysis - and various useful theorems and transformations - have been illustrated using only direct voltages and currents. However, nearly all electricity is generated and consumed in the form of AC.
Current sources have voltages across them which must be included in the KVL mesh equations 20 2A I I // ---~---. " 3 0 / \ \ i I I I / " '\ 4Q \ I 1. 2 Nodal analysis While mesh analysis employs KVL systematically, nodal analysis uses KCL to derive a set of simultaneous equations from which all the nodal voltages may be found. Voltages are assigned to each principal node of a network, principal nodes being points where three or more branches of a circuit join. 39). The (principal) nodes are A, C, D and E, node A being chosen as the reference node.