A 40.6 resistor and a 90.1 resistor are connected in parallel, and the combinati

Question

A 40.6 resistor and a 90.1 resistor are connected in parallel, and the combination is connected across a 120 V dc line.

a)

What is the resistance of the parallel combination?

Express your answer in ohms to three significant figures.

b)

What is the total current through the parallel combination?

Express your answer in amperes to three significant figures.

c)

What is the current through the 40.6 resistor?

Express your answer in amperes to three significant figures.

d)

What is the current through the 90.1 resistor?

Express your answer in amperes to three significant figures

Explanation / Answer

(A) for parallel combination,

1/Req = 1/R1 + 1/R2

1/R = 1/40.6 + 1/90.1

R = 28 ohm ...........Ans

(B) I = V / R = 120 / 28 = 4.29 A .....Ans

(C) through 40.6 ohm,

I1 = 120 / 40.6 = 2.96 A

(D) through 90.1 ohm,

I2 = 120 / 90.1 = 1.33 A

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