Compare the current in the 8-ohm resistors to the current in the 4-ohm resistors.

Compare the current in the 3-ohm and 8-ohm resistor to the current in the 10-ohm resistor

Compare the current in the 8-ohm resistors to the current in the 4-ohm resistors.

Compare the current in the 3-ohm and 8-ohm resistor to the current in the 10-ohm resistor

Answer:a) i₈ = 0.5 i₄, b) i₁₀ = 0.3 i₃, i₁₀ = 0.8 i₈

Explanation:For this exercise we use ohm’s law

V = i R

i = V / R

we assume that the applied voltage is the same in all cases

let’s find the current for each resistance

R = 4 Ω

i₄ = V / 4

R = 8 Ω

i₈ = V / 8

we look for the relationship between these two currents

i₈ /i₄ = 4/8 = ½

i₈ = 0.5 i₄

R = 3 Ω

i₃ = V3

R = 10 Ω

i₁₀ = V / 10

we look for relationships

i₁₀ / 1₃ = 3/10

i₁₀ = 0.3 i₃

i₁₀ / 1₈ = 8/10

i₁₀ = 0.8 i₈