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​ = 5 Ω+−V1​24 VR2​3 ΩAR3​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 5 ΩR2 = 3 ΩR3 = 6 Ω
Req = Ω
2.Easy
R1​ = 6 Ω+−V1​6 VR2​2 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

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

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

V1 = 24 VR1 = 10 ΩR2 = 6 ΩR3 = 3 ΩR4 = 10 Ω
IR1 = A
4.Medium
R1​ = 20 ΩR3​ = 10 Ω+−V1​12 VR2​12 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 20 ΩR2 = 12 ΩR3 = 10 ΩR4 = 15 Ω
Req = Ω
5.Hard
R1​ = 5 ΩR3​ = 25 ΩR5​ = 20 Ω+−V1​5 VR2​20 ΩAR4​8 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 5 VR1 = 5 ΩR2 = 20 ΩR3 = 25 ΩR4 = 8 ΩR5 = 20 ΩR6 = 15 Ω
Req = Ω
6.Hard
R1​ = 10 ΩR3​ = 30 ΩR5​ = 3 Ω+−V1​9 VR2​25 ΩIR2​AR4​2 ΩBR6​5 Ω

Find the current IR2 through R2.

V1 = 9 VR1 = 10 ΩR2 = 25 ΩR3 = 30 ΩR4 = 2 ΩR5 = 3 ΩR6 = 5 Ω
IR2 = A

Answer key

  1. 1. Req = 7 Ω
  2. 2. IR2 = 0.6316 A
  3. 3. IR1 = 1.701 A
  4. 4. Req = 28.11 Ω
  5. 5. Req = 17.23 Ω
  6. 6. IR2 = 0.2097 A

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