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A 31- and a 20- resistor are connected in parallel, and the combination is conne

ID: 1639011 • Letter: A

Question

A 31- and a 20- resistor are connected in parallel, and the combination is connected across a 240-V dc line.

Part A

What is the resistance of the parallel combination?

Express your answer using two significant figures.

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Part B

What is the total current through the parallel combination?

Express your answer using two significant figures.

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Part C

What is the current through the 31- resistor?

Express your answer using two significant figures.

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Part D

What is the current through the 20- resistor?

Express your answer using two significant figures.

R =     

Explanation / Answer

a ) The resistance of the parallel combination = 1 / ( 1/31 + 1/20) = 12.157 ohms.

b.) The total current through the parallel combination = 240 / 12.157 = 19.742 Amp.

c) The current through 31 ohms resistor = 240/31 = 7.742 Amps
d) The current through 20 ohms resistor = 240/20 = 12.00 Amps

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