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11th grade Kirchhoff's rules for circuits worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Kirchhoff's rules for circuits

Grade 11 Science Worksheet - Building Confidence

NameDate

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

  1. 5 A flows into a junction. One wire carries 2 A out. How much current does the only other wire carry out, to 0.01 A, Ari?

  2. 1.2 A flows into a junction. One wire carries 0.5 A out. How much current does the only other wire carry out, to 0.01 A, Bo?

  3. 8 A flows into a junction. One wire carries 3.5 A out. How much current does the only other wire carry out, to 0.01 A, Kira?

  4. What does Kirchhoff's junction rule say, by Luz's reading (OpenStax)?

    • Current into a junction equals current out
    • Current out of a junction is double the current in
    • Current into a junction is lost as heat

  5. At junction Q in the schematic, how much current leaves on wire 3, Milo?

    • 1 A
    • 6 A
    • 5 A

  6. What does Kirchhoff's loop rule say, by Noah's reading (OpenStax)?

    • The voltage changes around a closed loop add to zero
    • Each resistor in the loop drops the full battery voltage
    • The current changes around a loop add to zero

  7. Going around a loop in the current's direction, what is the voltage change across a resistor, Ren?

    • A drop of IR
    • No change, since current flows through it
    • A rise of IR

  8. Read this first

    Use this

    Circuit schematic (example data):

  10. In the schematic, which point is a junction, Tala?

    • The middle of the 3 Ω resistor
    • The battery's + end, where current starts
    • Point A, where the current splits

  11. In the schematic, why does ammeter A0 read 3 A, Zee?

    Use the picture in question 8.

    • It carries both branch currents: 2 A + 1 A
    • It carries the average of the branches
    • The battery makes 3 A no matter what is connected

  12. In the schematic, what is the voltage across the 6 Ω branch, Esme?

    Use the picture in question 8.

    • 6 V, the same as the 3 Ω branch
    • 3 V, half of the battery voltage
    • 12 V, twice the battery voltage
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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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