Use Kirchhoff’s rules to analyze the circuit in Figure P19.53.
(a) Let I₁ be the branch current through R₁ and I₂ be the branch current through R₂. Write Kirchhoff’s loop rule relation for a loop that travels through battery 1, resistor 1, and battery 2.
(b) Write Kirchhoff’s loop rule relation for a loop that travels through battery 2 and resistor 2.
(c) You should now have two equations and two unknowns (I₁ and I₂). Solve for the two branch currents.

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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R1 R2 E2