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 ΩIR1​+−V1​8 VR2​5 ΩAR3​8 Ω

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

V1 = 8 VR1 = 8 ΩR2 = 5 ΩR3 = 8 Ω
IR1 = A
2.Easy
R1​ = 4 Ω+−V1​20 VR2​10 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 4 ΩR2 = 10 ΩR3 = 10 Ω
IR2 = A
3.Medium
R1​ = 20 ΩR3​ = 5 Ω+−V1​30 VR2​3 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 20 ΩR2 = 3 ΩR3 = 5 ΩR4 = 8 Ω
Req = Ω
4.Medium
R1​ = 12 ΩR3​ = 3 Ω+−V1​24 VR2​5 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 12 ΩR2 = 5 ΩR3 = 3 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 2 ΩR3​ = 25 ΩR5​ = 4 Ω+−V1​9 VR2​12 ΩAR4​12 ΩBR6​12 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 2 ΩR2 = 12 ΩR3 = 25 ΩR4 = 12 ΩR5 = 4 ΩR6 = 12 Ω
Req = Ω
6.Hard
R1​ = 2 ΩR3​ = 6 ΩR5​ = 12 Ω+−V1​30 VR2​12 ΩIR2​AR4​5 ΩBR6​30 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 2 ΩR2 = 12 ΩR3 = 6 ΩR4 = 5 ΩR5 = 12 ΩR6 = 30 Ω
IR2 = A

Answer key

  1. 1. IR1 = 0.7222 A
  2. 2. IR2 = 1.111 A
  3. 3. Req = 22.44 Ω
  4. 4. Req = 15.61 Ω
  5. 5. Req = 10.72 Ω
  6. 6. IR2 = 1.841 A

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