Series & parallel resistors worksheet with answers

Free printable Series & parallel resistors worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
R1​ = 2 Ω+−V1​6 VR2​8 ΩIR2​AR3​2 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 2 ΩR2 = 8 ΩR3 = 2 Ω
IR2 = A
2.Easy
R1​ = 8 ΩIR1​+−V1​18 VR2​4 ΩAR3​3 Ω

Find the current IR1 delivered by the source, which flows through R1.

V1 = 18 VR1 = 8 ΩR2 = 4 ΩR3 = 3 Ω
IR1 = A
3.Medium
R1​ = 8 ΩR3​ = 12 Ω+−V1​6 VR2​4 ΩAR4​6 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 8 ΩR2 = 4 ΩR3 = 12 ΩR4 = 6 Ω
Req = Ω
4.Medium
R1​ = 10 ΩIR1​R3​ = 6 Ω+−V1​10 VR2​3 ΩAR4​8 ΩB

Find the current IR1 delivered by the source, which flows through R1.

V1 = 10 VR1 = 10 ΩR2 = 3 ΩR3 = 6 ΩR4 = 8 Ω
IR1 = A
5.Hard
R1​ = 20 ΩR3​ = 15 ΩR5​ = 6 Ω+−V1​9 VR2​2 ΩIR2​AR4​5 ΩBR6​15 Ω

Find the current IR2 through R2.

V1 = 9 VR1 = 20 ΩR2 = 2 ΩR3 = 15 ΩR4 = 5 ΩR5 = 6 ΩR6 = 15 Ω
IR2 = A
6.Hard
R1​ = 2 ΩR3​ = 3 ΩR5​ = 20 Ω+−V1​9 VR2​6 ΩAR4​10 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 2 ΩR2 = 6 ΩR3 = 3 ΩR4 = 10 ΩR5 = 20 ΩR6 = 20 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.3333 A
  2. 2. IR1 = 1.853 A
  3. 3. Req = 11.27 Ω
  4. 4. IR1 = 0.8019 A
  5. 5. IR2 = 0.3734 A
  6. 6. Req = 5.882 Ω

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