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​ = 10 Ω+−V1​10 VR2​4 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 10 ΩR2 = 4 ΩR3 = 3 Ω
Req = Ω
2.Easy
R1​ = 6 ΩIR1​+−V1​10 VR2​6 ΩAR3​3 Ω

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

V1 = 10 VR1 = 6 ΩR2 = 6 ΩR3 = 3 Ω
IR1 = A
3.Medium
R1​ = 8 ΩR3​ = 2 Ω+−V1​18 VR2​4 ΩIR2​AR4​2 ΩB

Find the current IR2 through R2.

V1 = 18 VR1 = 8 ΩR2 = 4 ΩR3 = 2 ΩR4 = 2 Ω
IR2 = A
4.Medium
R1​ = 20 ΩR3​ = 6 Ω+−V1​10 VR2​8 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 20 ΩR2 = 8 ΩR3 = 6 ΩR4 = 8 Ω
Req = Ω
5.Hard
R1​ = 20 ΩIR1​R3​ = 30 ΩR5​ = 8 Ω+−V1​12 VR2​10 ΩAR4​20 ΩBR6​4 Ω

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

V1 = 12 VR1 = 20 ΩR2 = 10 ΩR3 = 30 ΩR4 = 20 ΩR5 = 8 ΩR6 = 4 Ω
IR1 = A
6.Hard
R1​ = 8 ΩR3​ = 8 ΩR5​ = 10 Ω+−V1​5 VR2​12 ΩIR2​AR4​3 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 8 ΩR2 = 12 ΩR3 = 8 ΩR4 = 3 ΩR5 = 10 ΩR6 = 6 Ω
IR2 = A

Answer key

  1. 1. Req = 11.71 Ω
  2. 2. IR1 = 1.25 A
  3. 3. IR2 = 0.9 A
  4. 4. Req = 25.09 Ω
  5. 5. IR1 = 0.4302 A
  6. 6. IR2 = 0.1717 A

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