Find the current through each resistor using the rules for series and parallel r

Question

Find the current through each resistor using the rules for series and parallel resistors. Consider the circuit shown in the figure(Figure 1). Suppose the four resistors in this circuit have the values R1 -13 S2, R2 7.9 . R3-78 , and R. . 14 , and that the emf of the battery is & 18 V. You may want to review (Pages 748-751) Express your answers using two significant figures separated by commas. 11,12,I3,I4-0.96,0.25,0.71,0.25 A Correct Here we lean how to apply the rules for series and parallel resistors to determine the current through each resistor in the circuit. Part B Find the current through each resistor using Kirchhoffs rules Express your answers using two significant figures separated by commas. Figure 1of1 11,12,Is,I4-0.89,0.19,0.87,0.19 Submit × Incorrect, Try Again: 4 attempts remaining

Explanation / Answer

Short answer: Same currents as Ohm's laws. Because method doesn't matter.

Long answer:

E = IaR1 + R3(Ia-Ib)

Ia(R1+R3) -IbR3 = E

20.8Ia - 7.8Ib = 18 ...1

IbR2 + IbR4 + R3(Ib-Ia) = 0

-IaR3 + Ib(R2+R4+R3) = 0

-7.8Ia + 29.7Ib = 0 ...2

solving we get

Ia = 0.96 A

Ib = 0.25 A

I1 = Ia = 0.96A
I2 = I4 = Ib = 0.25A

I3 = Ia-Ib = 0.96-0.25 = 0.71A

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