Question

Question 8 5 pts The circuit shown in the figure below contains three resistors (R1, R2, and R3) and three batteries (VA, VB, and Vc). The resistor values are: R1=2 Ohms, R2=R3=4 Ohms, and the battery voltages are VA=25 V, VB=15 V, and Vc=20 V. When the circuit is connected, what will be the power dissipated by R1? VC + R1 + VA VB R2 M R3 1.25 W 2.0 W 12.5 W 6.25 W 8.13 W

Answer 1

equivalent resistance of R2 and R3

R23 = 4 * 4 / ( 4 + 4) = 2 ohm

effective potential difference

V = 15 + 20 - 25 = 10 V

voltage drop across R1

v1 = V * R1 / ( R1 + R2) = 10* 2 / ( 2 +2) = 5 V

power dissipated at R1

P1 = V1^2 / R1 = 12.5 W

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