1) What is V4, the magnitude of the voltage across the resistor R4? 2) current t

Question

1) What is V4, the magnitude of the voltage across the resistor R4?
2) current that flows through the resistor R3? A positive value for the current is defined to be in the direction of the arrow.
3) What is I2, the current that flows through the resistor R2? A positive value for the current is defined to be in the direction of the arrow.
4) What is I1, the current that flows through the resistor R1? A positive value for the current is defined to be in the direction of the arrow.
5) What is V(a) – V(b), the potential difference between the points a and b? 5 4

Explanation / Answer

1) Applying KVLin left loop,

v1 +i3r3- i1r2 =0

or 18 + 99i3 - 70i1 = 0

applying kvl in middle loop,

18+99i3+147i2 -12 +147 i2 = 0

applying kvl in right loop,

12- (70+123)i4 = 0

or 12 - 193i4 = 0

solving 4 equations and 4 unknowns,

i1= 0.1145

i2= 0.0136

i3= -0.1009

i4= 0.0622

1) v4 = i4*r4 = 0.0622*123 = 7.65 V

2) i3= -0.1009 A

3) i2= 0.0136 A

4) i1= 0.1145 A

5) Va- Vb = i2R6 =147*0.0136

      = 2 V

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