(a) For the circuit shown in the figure, determine the current in the 1.0-? resi

Question

(a) For the circuit shown in the figure, determine the current in the 1.0-? resistor.

(b) For the circuit shown in the figure, determine the current in the 3.0-? resistor.

(c) For the circuit shown in the figure, determine the current in the 4.0-? resistor.

(a) For the circuit shown in the figure, determine the current in the 1.0-? resistor. (b) For the circuit shown in the figure, determine the current in the 3.0-? resistor. (c) For the circuit shown in the figure, determine the current in the 4.0-? resistor.

Explanation / Answer

A)
3 ohm,4 ohm and 5 ohm are in parallel

1/R1 = (1/3)+(1/4)+(1/5)

R1 =1.27 ohm

1.27 ohm and 2ohm and 1 ohm are in series

Rnet = 1.27+2+1 = 4.27 ohm

A) i1 = V/Rnet = 12/4.27 = 2.8 A

B) voltage across 3 ohm is i1*R1 = 2.8*1.27 = 3.556 V

i3 = 3.556/3 = 1.18 A

C) i4 = 3.556/4 = 0.889 A

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