Question

The circuit shown in the figure below contains three resistors (Ry, Ry, and R) and three batteries (VA. Vg, and Vc). The resistor values are: R2-2 Ohms, R2-R3-4 Ohms, and the battery voltages are VA-25V, V -15V, and Vc-20 V. When the circuit is connected what will be the current through R22 Vc R th R2 R 0.75 A 1.25 A 2.5 A 3.0 A 3.75 A

Answer 1

solution for Given values the circuit is assume the dirh of cument as shown. let Vc = 20 V VB = 15N R;= 212 wwww loop! VA= 250 loopa II R2=42 I I I-I 1 R3=42 apply Kirchoffs voltage law in loop? 2 I +25 + 41, -15-20 = 0 2 I + 4 II =10 - 0 In loop2 21 il +25 +4(I-I,) - 15-20 = 0 2 I + 4 I - 4I1 = 10 6 I - 411 =10 add eqh . 0 4 ① we get 2 I + U Ii = 10 6 I - 4I, = 10 BI I = us lo 2.5 = 20 20 8 Amp put in = 2(2-5) +4 I, = 10 Il- 5/4 so, Current Through R2 1.25 Amp is 1-25 Amp.