Problem 23.68 - MC Assuming the following values , find the current through and

Question

Problem 23.68 - MC

Assuming the following values

, find the current through and the potential difference across each resistor. (Figure 1)

Part A

What is the equivalent resistance of this circuit?

Express your answer using four significant figures.

16.26

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Part B

Now that you know the equivalent resistance, what is the next step in this problem?

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How does the equivalent resistance help us find the current from the battery?

Part C

Find the current through R1 = 8 .

Express your answer using three significant figures.

1.72

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Part D

Now that you know the current through R1, what is the next step in this problem?

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Part E

Find the potential difference across R1 = 8 .

Express your answer using three significant figures.

13.8

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Part F

Now that you know the voltage across R1, what is the next step in this problem?

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Part G

Find the potential difference across R5 = 22 .

Express your answer using three significant figures.

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Part H

Now that you know the voltage across R5, what is the next step in this problem?

Now that you know the voltage across , what is the next step in this problem?

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Part I

Find the current through R5 = 22 .

Express your answer using three significant figures.

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Significant Figures Feedback: Your answer 0.645 A was either rounded differently or used a different number of significant figures than required for this part.

There are a couple different ways that you can finish this problem and find the current and voltage for the remaining resistors. You can either use the junction rule or the fact that the R_2/R_3/R_4 combo is connected in parallel to R_5 to find the amount of current flowing through R_2. It's up to you! After you have the voltage across R_2, you should be able to find the voltage across the remaining resistors.

Part J

Find the current through R2 = 6 .

Express your answer using three significant figures.

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Part K

Find the potential difference across R2 = 6 .

Express your answer using three significant figures.

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Part L

Find the potential difference across R3 = 10 .

Express your answer using three significant figures.

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Part M

Find the current through R3 = 10 .

Express your answer using three significant figures.

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Part N

Find the potential difference across R4 = 26 .

Express your answer using three significant figures.

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Part O

Find the current through R4 = 26 .

Express your answer using three significant figures.

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  E = 28 V   R1 = 8      R2 = 6   R3 = 10      R4 = 26   R5 = 22    WWWhi

Explanation / Answer

Part J )

Find the current through R2 = 6 .

Current through R2= I1- I5 = 1.72- 0.646 = 1.074 A

Part K )

Find the potential difference across R2 = 6 .

Express your answer using three significant figures.

V=  1.074 A (6) = 6.444 volts

Part L )

Find the potential difference across R3 = 10 .

v3 = V5 - V2= 14.2-  6.444 = 7.756 V

Part M

Find the current through R3 = 10 .

I3= 7.756 /10 = 0.7756 A

Part N

Find the potential difference across R4 = 26 .

V4=  7.756 V

Part O

Find the current through R4 = 26 .

I4 = 7.756/ 26 = 0.298 A apprx

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