Question

The circuit shown in the figure below contains three resistors (R₁, R₂, and R₃) and three batteries (V_A, V_B, and V_C). The resistor values are: R₁=2 Ohms, R₂=R₃=4 Ohms, and the battery voltages are V_A=25 V, V_B=15 V, and V_C=20 V. When the circuit is connected, what will be the power dissipated by R₃?

VC HA R1 + + VA VB R2 m R3

a) 1.25 W

b) 2.0 W

c) 5.0 W

d) 6.25 W

e) 8.13 W

Answer 1

Eqwx alent resistance of R₂ and R₂ is Ru - R₂ R3 R₂ + R3 4x4 Teru 2 12 The cincuit can be drawn as Ve Ri NB YA I- canment in the Top Ru Applying kVL in the loop we get IR, + IR,= 4 3-VA + VBVc m 2 I + 2 -25+15 +20 4 I = 10 m H = 2.5 A ri The through R₂ is Iz R2 R₂ + R3 I = 244 x2.5 Flo 25 A .: Powen dissipated in R3 is 4 P3 I3 R3 = (1.25) x4 P₂ = 6.25w optima) is connect. Coseannedwineamscamera