homework_10_kirchoffs_rules

Homework: Kirchoff's Rules

Current Div

The circuit above contains 5 resistors [R_1, R_2, R_A, R_B, R_C] with equal resistance [R]. Write an equation for the current [i_2] in terms of the current [i_1]. ( when entering your answer, use i1 for [i_1], e.g., the answer 0.5*i1 has the correct syntax)

• [I_2 = \frac{ 1}{ 3} I_1]
  • see octave code

Multiloop

Resistors R1, R2, R3, and R4 are arranged in a circuit as shown in the figure above. The direction of positive currents I1, I2, I3, and I4 through the resistors are shown. (i.e., negative current values correspond to currents in the opposite direction to that shown above). The values for the resistors and the batteries in the circuit are: R1 = 100.0 Ω, R2 = 200.0 Ω, R3 = 30.0 Ω, R4 = 400.0 Ω, V1 = 4.0 V, and V2 = 12.0 V. What is the value of I2, the current through R2? (remember I2 is a signed number) I2 =