In the circuit in the figure, determine the current in each resistor and the vol

Question

In the circuit in the figure, determine the current in each resistor and the voltage across the 80 ft resistor. through the sign of your answer. Take upward current flow as positive.) Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mista at least four-digit accuracy to minimize roundoff error. A Your response is within 10% of the correct value This may be due to roundoff error, or you could have a mistral at least four-digit accuracy to mimmi/e roundoff error A Your response differs from the correct answer by more than 10%. Double check your calculations.

Explanation / Answer

Let the current through 200 ohm be i1, through 80 ohm be i2, through 20 ohm be i3 and through 70 ohm be i4

Let potential at top be zero, then potential at bottom is given by

Vbottom = 0 - 200 i1

Vbottom = 0 - 40 -80 i2

Vbottom     = 0 +360 -20 i3

Vbottom    = 0 -80 -70 i4

also i1+i2+i3+i4 = 0 by kirchoff current law

Solving this 5 equation 5 unknowns

Vbottom = 200V

i1 = -1 A

i2 = -3A

i3= 8A

i4= -4A

Since upward direction has to be positive

i1 = 1 A

i2 = 3A

i3= -8A

i4= 4A

voltage across 80 ohm = 80 i2 = 240 V

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