Use Kirchhoffs rules to analyze the circuit in Figure P19.56. (a) Let I 1 be the branch

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Use Kirchhoff’s rules to analyze the circuit in Figure P19.56.
(a) Let I1 be the branch current though R1, I2 be the branch current through R2, and I3 be the branch current through R3. Write Kirchhoff’s loop rule relation for a loop that travels through battery 1, resistor 1, and resistor 3.
(b) Write Kirchhoff’s loop rule relation for a loop that travels through battery 2, resistor 2, and resistor 3.
(c) Apply Kirchhoff’s junction rule to the junction at A to get a relation between the three branch currents.
(d) You should now have three equations and three unknowns (I1, I2, and I3). Solve for the three branch currents.


R2 R1 E2 R3 Figure P19.56


R1 = 2400 V, R2 = 1400 V, R3 = 4500 Ω, and R4 = 6000 Ω, and the battery emfs are ε1 = 5 1.5 V and ε2 = 5 3.0 V, unless stated otherwise

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