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​ = 2 ΩIR1​+−V1​20 VR2​2 ΩAR3​2 Ω

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

V1 = 20 VR1 = 2 ΩR2 = 2 ΩR3 = 2 Ω
IR1 = A
2.Easy
R1​ = 4 Ω+−V1​10 VR2​12 ΩIR2​AR3​4 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 4 ΩR2 = 12 ΩR3 = 4 Ω
IR2 = A
3.Medium
R1​ = 8 ΩR3​ = 8 Ω+−V1​15 VR2​8 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

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

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

V1 = 12 VR1 = 15 ΩR2 = 6 ΩR3 = 6 ΩR4 = 2 Ω
IR1 = A
5.Hard
R1​ = 4 ΩIR1​R3​ = 6 ΩR5​ = 2 Ω+−V1​10 VR2​5 ΩAR4​25 ΩBR6​2 Ω

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

V1 = 10 VR1 = 4 ΩR2 = 5 ΩR3 = 6 ΩR4 = 25 ΩR5 = 2 ΩR6 = 2 Ω
IR1 = A
6.Hard
R1​ = 2 ΩR3​ = 3 ΩR5​ = 3 Ω+−V1​24 VR2​25 ΩAR4​2 ΩBR6​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 2 ΩR2 = 25 ΩR3 = 3 ΩR4 = 2 ΩR5 = 3 ΩR6 = 4 Ω
Req = Ω

Answer key

  1. 1. IR1 = 6.667 A
  2. 2. IR2 = 0.3571 A
  3. 3. Req = 13.33 Ω
  4. 4. IR1 = 0.6512 A
  5. 5. IR1 = 1.376 A
  6. 6. Req = 5.853 Ω

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