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​ = 4 Ω+−V1​12 VR2​2 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 4 ΩR2 = 2 ΩR3 = 8 Ω
IR2 = A
2.Easy
R1​ = 10 Ω+−V1​15 VR2​2 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 10 ΩR2 = 2 ΩR3 = 4 Ω
Req = Ω
3.Medium
R1​ = 4 ΩIR1​R3​ = 20 Ω+−V1​6 VR2​2 ΩAR4​12 ΩB

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

V1 = 6 VR1 = 4 ΩR2 = 2 ΩR3 = 20 ΩR4 = 12 Ω
IR1 = A
4.Medium
R1​ = 10 ΩIR1​R3​ = 3 Ω+−V1​6 VR2​5 ΩAR4​5 ΩB

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

V1 = 6 VR1 = 10 ΩR2 = 5 ΩR3 = 3 ΩR4 = 5 Ω
IR1 = A
5.Hard
R1​ = 20 ΩR3​ = 10 ΩR5​ = 2 Ω+−V1​15 VR2​30 ΩAR4​6 ΩBR6​25 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 20 ΩR2 = 30 ΩR3 = 10 ΩR4 = 6 ΩR5 = 2 ΩR6 = 25 Ω
Req = Ω
6.Hard
R1​ = 2 ΩR3​ = 30 ΩR5​ = 30 Ω+−V1​5 VR2​2 ΩIR2​AR4​8 ΩBR6​30 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 2 ΩR2 = 2 ΩR3 = 30 ΩR4 = 8 ΩR5 = 30 ΩR6 = 30 Ω
IR2 = A

Answer key

  1. 1. IR2 = 1.714 A
  2. 2. Req = 11.33 Ω
  3. 3. IR1 = 1.02 A
  4. 4. IR1 = 0.4588 A
  5. 5. Req = 29.96 Ω
  6. 6. IR2 = 1.217 A

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