Find I 1 and V 0 in the circuit shown given that V 1 = 16 V, R1 = 7k Ohm, R2 = 1

Question

Find I 1 and V 0 in the circuit shown given that V 1 = 16 V, R1 = 7k Ohm, R2 = 19 k Ohm, R 3 = 20k Ohm, and R4 = 17 k Ohm. The total resistance seen by the voltage source = k Ohm The total current supplied by the voltage source = I all = mA I1 = mA The current through R3 and R4 is I34 = mA V 0 = V

Explanation / Answer

R1=7k R2=19k R3=20k R4=17k now R4 and R3 are in series Req=20k+17k =33k now R eq in parallel with R2 Rx = 33k*19k/(33k+19k) =12.05k now Rx is in series with R1 = R1+Rx=12.05k+7k =19.05k-------------->1 above value is the equivalent resistance seen by voltage source total current I= V/Req =16/19.05k =0.839 mA I1 =( R3+R4)I/(R3+R4+R2) =33k*0.839m/(33k+19k) =0.5333A I34 =I-I1 =0.839-0.533 =0.305mA V0 = 0.305m*17K = 5.2v

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