Question

The circuit shown in the figure below contains three resistors (R1, R2, and R3) and three batteries (VA, V8, and Vc). The resistor values are: R2=2 Ohms, R2=R3=4 Ohms, and the battery voltages are Va=25 V, V8=15 V, and Vc=20 V. When the circuit is connected what will be the current through R2? Vc R₂ 3 A VA HH V. R2 R3 O 0.75 A 01.25 A 0 2.5 A O 3.0 A 0 3.75 A

Answer 1

Find the current in the circuit using loop rule and use that to find the required current through the given resistance as shown below

equivalent of R2 and R3 is, R23 R2 R3 R₂ + R3 = 4X4 44 2 = 22 Using loop rule Ri& UB - Up - V t IR TVA + I Raz=0 VA R23 I = VB t Vc -VA R1 + R23 1) 15 V + 20 V -25V - 2.5 A 22 + 22 I flows throug R23 Iz (R3) (Current division (Retrs) 11 42 1. 25 A 4rtar :) (2:54)