Please show steps how to solve them? Figure 11 shows a two mesh circuit which in

Question

Please show steps how to solve them?

Figure 11 shows a two mesh circuit which includes a current dependent current source driven by a sinusoidal voltage Vi = 10ei0. The following component values are given: k = 9 X = 15. 6 ohm R1 = 13. 4 ohm R2 = 17. 0 ohm The amplitude of the current 1 in mA through R1 is determined as nearest to: 43 76 97 121 132

Explanation / Answer

Applying KVL in the big loop( containing Vi,R1,X & R2 ) : Vi = I*R1 + (I+kI)*jX + (I+kI)*R2 10 + j0 = (13.4 + j156 + 170)*I 10 + j0 = (183.4 + j156)*I => I = 10/(183.4 + j156) |I| = 10/sqrt(183.4^2 + 156^2) |I| = 0.0415 A = 41.5 mA ANSWER 11 : (A) 43 Vo = 10*|I|*R2 = 10*41.5*17 = 7.055 V ANSWER 12 : (E) 7.1

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