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​ = 12 ΩIR1​+−V1​18 VR2​6 ΩAR3​10 Ω

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

V1 = 18 VR1 = 12 ΩR2 = 6 ΩR3 = 10 Ω
IR1 = A
2.Easy
R1​ = 5 Ω+−V1​15 VR2​10 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 15 VR1 = 5 ΩR2 = 10 ΩR3 = 3 Ω
IR2 = A
3.Medium
R1​ = 6 ΩR3​ = 2 Ω+−V1​9 VR2​3 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 6 ΩR2 = 3 ΩR3 = 2 ΩR4 = 5 Ω
Req = Ω
4.Medium
R1​ = 10 ΩR3​ = 4 Ω+−V1​9 VR2​3 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 10 ΩR2 = 3 ΩR3 = 4 ΩR4 = 20 Ω
Req = Ω
5.Hard
R1​ = 3 ΩR3​ = 15 ΩR5​ = 10 Ω+−V1​30 VR2​4 ΩAR4​25 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 3 ΩR2 = 4 ΩR3 = 15 ΩR4 = 25 ΩR5 = 10 ΩR6 = 8 Ω
Req = Ω
6.Hard
R1​ = 4 ΩR3​ = 8 ΩR5​ = 15 Ω+−V1​12 VR2​4 ΩAR4​8 ΩBR6​25 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 4 ΩR2 = 4 ΩR3 = 8 ΩR4 = 8 ΩR5 = 15 ΩR6 = 25 Ω
Req = Ω

Answer key

  1. 1. IR1 = 1.143 A
  2. 2. IR2 = 0.4737 A
  3. 3. Req = 8.1 Ω
  4. 4. Req = 12.67 Ω
  5. 5. Req = 6.457 Ω
  6. 6. Req = 7.143 Ω

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