i have problems finding what sign goes to what and what component belong to whic

Question

i have problems finding what sign goes to what and what component belong to which resistance.

21.38 - Kirchhoff's Rules Puntos:3 Find the currents flowing in the circuit in the figure below. Use the direction of the currents as shown in the figure. Explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors. (Hint: For resistors in series, you may want to add the resistances since they have a common current.) 0.10 ? Ri 5? 16? ? 0.50 ? 38 ? 0.20 ? Ra 801 34 V Fa 6,0 V i 0.05 12 h 1 6 838A Enviar Respuesta incorrecto. Tries 175 Intentos Anteriores Enviar esta Tries 0/5 Enviar Respuesta Tries o/s Enviar Reacción This discussion is closed. 8:37 AM

Explanation / Answer

Applying KVL in abcdeika loop,

- 5I1 + 22 - 0.10 I1 - 16I1 + 38I2 + 0.50I2- - 50 = 0

- 21.1 I1 + 38.5 I2 = 28 ..... (i)

KVL in akiefghj loop,

50 - 0.50I2 - 38 I2- 0.20 I3 - 34 - 0.05 I3 + 6 - 80 I3 = 0

38.5 I2 + 80.25 I3 = 56 .... (ii)

Applying KCL,

I1 + I2 - I3 = 0 ..... (iii)

Solving,

I1 = -0.209 A

I2 = 0.613 A

I3 = 0.404 A

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