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
Question
Question
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