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​6 VR2​3 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 8 ΩR2 = 3 ΩR3 = 3 Ω
Req = Ω
2.Easy
R1​ = 8 Ω+−V1​10 VR2​3 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 8 ΩR2 = 3 ΩR3 = 3 Ω
IR2 = A
3.Medium
R1​ = 5 ΩIR1​R3​ = 8 Ω+−V1​12 VR2​3 ΩAR4​5 ΩB

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

V1 = 12 VR1 = 5 ΩR2 = 3 ΩR3 = 8 ΩR4 = 5 Ω
IR1 = A
4.Medium
R1​ = 15 ΩIR1​R3​ = 6 Ω+−V1​6 VR2​2 ΩAR4​6 ΩB

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

V1 = 6 VR1 = 15 ΩR2 = 2 ΩR3 = 6 ΩR4 = 6 Ω
IR1 = A
5.Hard
R1​ = 5 ΩR3​ = 15 ΩR5​ = 10 Ω+−V1​24 VR2​10 ΩAR4​20 ΩBR6​25 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 5 ΩR2 = 10 ΩR3 = 15 ΩR4 = 20 ΩR5 = 10 ΩR6 = 25 Ω
Req = Ω
6.Hard
R1​ = 4 ΩR3​ = 20 ΩR5​ = 4 Ω+−V1​6 VR2​3 ΩAR4​2 ΩBR6​25 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 4 ΩR2 = 3 ΩR3 = 20 ΩR4 = 2 ΩR5 = 4 ΩR6 = 25 Ω
Req = Ω

Answer key

  1. 1. Req = 9.5 Ω
  2. 2. IR2 = 0.5263 A
  3. 3. IR1 = 1.613 A
  4. 4. IR1 = 0.359 A
  5. 5. Req = 12.35 Ω
  6. 6. Req = 6.638 Ω

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