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Consider the circuit in the figure, and suppose that the emfs are unknown and the currents are given to be I, = 5.40 A, I,

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Consider the circuit in the figure, and suppose that the emfs are unknown and the currents are given to be I, = 5.40 A, I, = 2.10 A, and I, = -3.30 A. E, = 18V + C d 0.5 0 RZ 2.5 Q 12 R a M la 6.0 0 1.5 0 n 12 0.5 Q Ex = 45 V (=) Could you find the emfs? O Yes O No (b) What is wrong with the assumptions?Three resistors R, = 86.6 0, R, = 21.0 0, R. = 70.0 0, and two batteries , = 40.0 V, and &, = 370 V are connected as shown in the diagram below. R1 (a) What current flows through R , R,, and R. ? A A A I- (b) What is the absolute value of the potential difference across R , R,, and R. ? V VReferring to the example combining series and parallel circuits and the following figure, calculate I, (in A) in the following two different ways. V1 = ? 1.30 0 -? 12.0 V. 13.4 0 V = V - V, = ? 4.00 0> (a) from the known values of I = 2.74 A and I, = 2.11 A A (b) using Ohm's law for R. (Assume V = 8.44 V.) A

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