Consider the circuit shown in the figure below, where R1 = 8.00 Ω, R2 = 6.00 Ω, and e m f = 7.00 V.

Question

(a)Find the voltage (in V) across R₁.

(b)Find the current (in A) in R₁.

Answer 1

The 2 resistors in parallel are equivalent to an R₃ = 1/(1/5 + 1/10) = 10Ω/3.

Equating loop voltages implies

E = (I₁ + I₂)R₀ + I₂(R₂ + R₃) = (I₁ + I₂)R₀ + I₁R₁, which are 2 equations in 2 unknowns, since E = 7V, R₀ = 2Ω, R₁ = 8Ω, R₂ = 6Ω.