Acircuit is constructed with six resistors and two batteries as shown. Io R The

Question

Acircuit is constructed with six resistors and two batteries as shown. Io R The battery voltages are V1 18 V and V 12 The positive terminals are indicated with a sign, The values for the resistors are T WW R1 R5 420, R2 R6 860 R3 71 0, and R4 119 n. The positive directions for the currents l1, l2 and 13 are indicated by the directions 1 of the arrows. b R4 1) What is V4, the magnitude of the voltage across the resistor R4? Submit 2) What is 13, the current that flows through the resistor R3? A positive value for the current is defined to be in the direction of the arrow. A Submit 3) What is l2, the current that flows through the resistor R2? A positive value for the current is defined to be in the direction of the arrow. A Submit

Explanation / Answer

1) v4 = i4*r4 = v2r4/(r4+r5)

v4 = 8.87 V

2) i2 = i1+i3

i1r1 = v1+i3r3

v2 = i2r2+i3r3+v1+i2r6

from these equations i3 = -0.149 amp

3) i2 = (v1/r1+i3(r1+r3/r1)) = 0.0286 amp

4) i1 = i2-i3 = 0.178 amp

5) va-vb = i2r6 = 2.46 V

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