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11th grade Kirchhoff's rules for circuits worksheet

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Kirchhoff's rules for circuits

Grade 11 Science Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. In one loop, a 12 V battery and a 3 V battery face opposite ways, with 6 Ω in total. What current flows, to 0.01 A, Esme?

  2. In one loop, a 9 V battery and a 4 V battery face opposite ways, with 10 Ω in total. What current flows, to 0.01 A, Jun?

  3. In one loop, a 24 V battery and a 6 V battery face opposite ways, with 4 Ω in total. What current flows, to 0.01 A, Kira?

  4. A student says current gets used up as it passes through a resistor. Which reply fits Kirchhoff's rules, Luz?

    • Yes; less current leaves each resistor than enters it
    • No; the current into and out of a resistor is the same
    • Yes; the last resistor in a loop gets almost nothing
  5. A student says each resistor in a series loop gets the battery's full voltage. Which reply fits the loop rule, Noah?

    • Yes; each resistor drops the full voltage, so they add to double
    • No; the drops around the loop add to the battery voltage
    • Yes; voltage is the same at each point of a loop
  6. In the schematic, what is the voltage across R1, and so across the branches, Ren?

    • 6 V across R1, so 3 V across each branch
    • 6 V across R1, so 12 V across each branch
    • 6 V across R1, so 6 V across each branch
  7. In the schematic, what is the resistance of branch R2, Tala?

    Use the picture in question 6.

    • 12 Ω
    • 3 Ω
    • 6 Ω
  8. A solution for the schematic gives 2 A in R2, 2 A in R3 and 3 A through R1. Which rule does it break, Zee?

    Use the picture in question 6.

    • Neither rule; it passes both
    • The junction rule: 2 + 2 is not 3
    • The loop rule: 12 V is not 6 V
  9. A solution for a 9 V loop gives drops of 3 V and 3 V across its only two resistors. Which rule does it break, Ari?

    • The loop rule: 9 − 3 − 3 is not 0
    • The junction rule: current is lost in the loop
    • Neither rule; the drops are equal
  10. A 12 V and a 3 V battery face opposite ways in one loop with 6 Ω. A solution gives 2.5 A. Which check fails, Bo?

    • The loop rule: 12 − 3 − 6 × 2.5 is not 0
    • Nothing fails; 15 ÷ 6 = 2.5 A is right
    • The junction rule, at a junction it lacks
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11th grade Kirchhoff's rules for circuits worksheet – printable
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About this worksheet

Kirchhoff's rules for circuits. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use the junction rule: the current into a junction equals the current out.
  • I can use the loop rule with signs: a battery from − to + is a rise, and a resistor crossed with the current is a drop of IR.
  • I can find unknown currents, voltages and resistances in a two-branch circuit, handle two batteries facing opposite ways, and check a solution against both rules.

Standard: none (IXL parity)

Words to know

junction: A point where current splits or joins

loop: Any closed path around a circuit

junction rule: Current in equals current out

loop rule: Voltage rises and drops around a loop add to zero

voltage drop: The fall in voltage across a resistor, IR

branch: One path between two junctions

Common mistakes

Your child added a current that should be subtracted at a junction. Current in = current out, so an outgoing wire carries what comes in minus what else goes out.

Your child left a voltage drop out of the loop. The loop rule adds every rise and drop around the loop to zero.

Your child added two batteries that face opposite ways. Around the loop one is a rise and the other a drop, so they subtract.

Questions parents ask

What is the most common mistake with kirchhoff's rules for circuits?

Your child added a current that should be subtracted at a junction. Current in = current out, so an outgoing wire carries what comes in minus what else goes out.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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