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​15 VR2​3 ΩAR3​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 8 ΩR2 = 3 ΩR3 = 5 Ω
Req = Ω
2.Easy
R1​ = 2 Ω+−V1​24 VR2​10 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 2 ΩR2 = 10 ΩR3 = 3 Ω
IR2 = A
3.Medium
R1​ = 4 ΩIR1​R3​ = 10 Ω+−V1​6 VR2​8 ΩAR4​4 ΩB

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

V1 = 6 VR1 = 4 ΩR2 = 8 ΩR3 = 10 ΩR4 = 4 Ω
IR1 = A
4.Medium
R1​ = 3 ΩR3​ = 4 Ω+−V1​10 VR2​10 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 3 ΩR2 = 10 ΩR3 = 4 ΩR4 = 5 Ω
Req = Ω
5.Hard
R1​ = 20 ΩR3​ = 12 ΩR5​ = 6 Ω+−V1​9 VR2​30 ΩAR4​6 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 20 ΩR2 = 30 ΩR3 = 12 ΩR4 = 6 ΩR5 = 6 ΩR6 = 5 Ω
Req = Ω
6.Hard
R1​ = 3 ΩR3​ = 3 ΩR5​ = 4 Ω+−V1​18 VR2​20 ΩAR4​4 ΩBR6​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 3 ΩR2 = 20 ΩR3 = 3 ΩR4 = 4 ΩR5 = 4 ΩR6 = 2 Ω
Req = Ω

Answer key

  1. 1. Req = 9.875 Ω
  2. 2. IR2 = 1.286 A
  3. 3. IR1 = 0.66 A
  4. 4. Req = 7.737 Ω
  5. 5. Req = 30.38 Ω
  6. 6. Req = 7.252 Ω

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