Question

The emfs in the figure below are e m f1 = 5.00 V and e m f2 = 18.0 V. The resistances are R1 = 17.0 Ω, R2 = 32.0 Ω, R3 = 48.0 Ω, and R4 = 59.0 Ω. Find the magnitude of the current in each resistor when the switch is in the following states.

The emfs in the figure below are & = 5.00 V and E2 = 18.0 V. The resistances are R1 = 17.00, R2 = 32.0 2, R3 = 48.0 1, and R4 = 59.0 N. Find the magnitude of the current in each resistor when the switch is in the following states. R2 R4 R E2 6 R3 = A IN (a) open 11 12 13 14 А A = = A = a (b) closed 11 X The response you submitted has the wrong sign. A 12 x The response you submitted has the wrong sign. A 13 x The response you submitted has the wrong sign. A 14 x Enter a number. differs from the correct answer by more than 100%. A Need Help? Read It IS

Answer 1

Let i₁ and i₂ be the currents in first loop(from left) and second loop rspectively.According to Kirchoff's loop rule:

59i₁ + 17(i₁ - i₂) =-5 ===>76i₁ - 17i₂ = -5 ______(1)

17(i₂ - i₁) + 32i₂ + 48i₂ = 18===>97i₂ - 17i₁ = 18________(2)

[(1)*17] + [(2)*76]===>7083i₂ = 1283===>i₂ = 0.1811 A

Applying i₂ in (1) gives i₁ = -0.0253 A

I₁ = i₁ - i₂ = -0.206 A

I₂ = i₂ = 0.18 A

I₃ = i₂ = 0.18 A

I₄ = i₁ = -0.025 A