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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

NameDate

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

  1. A 24 V battery drives one loop with three resistors. Two of them drop 10 V and 6.5 V. What does the third drop, to 0.01 V, Jun?

  2. Read this first

    Use this

    Circuit schematic (example data): one loop.

  4. In the series schematic, going through the battery from − to +, what is the voltage change, Kira?

    • A drop of 12 V
    • No change
    • A rise of 12 V

  5. In the series schematic, crossing the 4 Ω resistor in the current's direction, what is the voltage change, Luz?

    Use the picture in question 2.

    • A drop of 8 V
    • A drop of 2 V
    • A rise of 8 V

  6. Which loop equation fits the series schematic, Milo?

    Use the picture in question 2.

    • −12 − 4 − 8 = 0
    • +12 + 4 + 8 = 0
    • +12 − 4 − 8 = 0

  7. A 9 V battery is connected across two parallel branches. What voltage does each branch get, Noah?

    • 4.5 V each
    • 9 V each
    • 18 V each

  8. Across a 9 V battery, branch 1 has 3 Ω and branch 2 has 9 Ω. What current does each branch carry, Pia?

    • 1.5 A and 0.5 A
    • 1 A and 3 A
    • 3 A and 1 A

  9. Two parallel branches carry 3 A and 1 A. What current leaves the battery, Ren?

    • 2 A
    • 3 A
    • 4 A

  10. Use this

    Circuit schematic (example data): one loop.

  12. In the series schematic, ammeter X reads 2 A before the 2 Ω resistor. Why does ammeter Y after it also read 2 A, Tala?

    • Ammeter Y is broken; it should read less
    • The resistor used up half, then the battery added it back
    • A resistor does not use up current

  13. In the series schematic, why do the voltmeters read 4 V and 8 V, Zee?

    Use the picture in question 8.

    • The 2 Ω resistor gets more current
    • Each drop is IR, and the drops add to 12 V
    • Each resistor drops half the battery voltage

  14. On a 12 V series loop, a student's voltmeters read 4 V and 6 V across the only two resistors. What does that suggest, Ari?

    • A misreading: the drops must add to 12 V
    • The first resistor used up some current
    • Nothing; drops need not add to the battery
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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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