Question

Find the current in the 12-Ω resistor in the figure below. (Assume R₁ = R₃ = 5.0 Ω, R₂ = R₄ = 8.2 Ω, ΔV = 20 V.) (A)

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Safari File Edit View History Bookmarks Window Help 令 44% D E® Mon 3:24:15 PM 10. -10 points sercp11 18.3.p.015.nva My Notes Ask Your Teacher Find the current in the 12-Ω resistor in the figure below. (Assume R,-R 5.0 Ω, R2-R4-82 Ω, Δ V-20 V.) Ri R3 /L.dhK滟 12Ω Submit Answer Save Progress Practice Another Version

Answer 1

net resistance of upper wire

Ru = 5 + 8.2/2 = 9.1

net resistance of lower wire

RL = 2 + 4*12/ ( 4+12) = 5

net resistance of the circuit

R = 5 + 9.1 * 5 / ( 5+ 9.1) = 8.227

Current through circuit,

i = 20 / 8.227

i = 2.431 A

Current through lower wire

i' = 2.431* Ru / ( Ru + RL)

i' = 1.569 A

Current through 12 ohm

I = i' * 4/(4+12)

I = 0.392 A

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