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​ = 8 Ω+−V1​8 VR2​8 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 8 ΩR2 = 8 ΩR3 = 10 Ω
Req = Ω
2.Easy
R1​ = 6 ΩIR1​+−V1​10 VR2​5 ΩAR3​6 Ω

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

V1 = 10 VR1 = 6 ΩR2 = 5 ΩR3 = 6 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 6 Ω+−V1​12 VR2​3 ΩIR2​AR4​8 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 4 ΩR2 = 3 ΩR3 = 6 ΩR4 = 8 Ω
IR2 = A
4.Medium
R1​ = 5 ΩR3​ = 10 Ω+−V1​9 VR2​5 ΩAR4​12 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 5 ΩR2 = 5 ΩR3 = 10 ΩR4 = 12 Ω
Req = Ω
5.Hard
R1​ = 8 ΩIR1​R3​ = 20 ΩR5​ = 10 Ω+−V1​15 VR2​10 ΩAR4​2 ΩBR6​20 Ω

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

V1 = 15 VR1 = 8 ΩR2 = 10 ΩR3 = 20 ΩR4 = 2 ΩR5 = 10 ΩR6 = 20 Ω
IR1 = A
6.Hard
R1​ = 20 ΩR3​ = 4 ΩR5​ = 6 Ω+−V1​15 VR2​8 ΩIR2​AR4​6 ΩBR6​20 Ω

Find the current IR2 through R2.

V1 = 15 VR1 = 20 ΩR2 = 8 ΩR3 = 4 ΩR4 = 6 ΩR5 = 6 ΩR6 = 20 Ω
IR2 = A

Answer key

  1. 1. Req = 12.44 Ω
  2. 2. IR1 = 1.146 A
  3. 3. IR2 = 1.527 A
  4. 4. Req = 9.074 Ω
  5. 5. IR1 = 1.009 A
  6. 6. IR2 = 0.3259 A

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