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​ = 6 ΩIR1​+−V1​12 VR2​12 ΩAR3​3 Ω

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

V1 = 12 VR1 = 6 ΩR2 = 12 ΩR3 = 3 Ω
IR1 = A
2.Easy
R1​ = 10 Ω+−V1​24 VR2​12 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 10 ΩR2 = 12 ΩR3 = 3 Ω
IR2 = A
3.Medium
R1​ = 12 ΩR3​ = 12 Ω+−V1​15 VR2​8 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 12 ΩR2 = 8 ΩR3 = 12 ΩR4 = 15 Ω
Req = Ω
4.Medium
R1​ = 10 ΩR3​ = 10 Ω+−V1​6 VR2​20 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 10 ΩR2 = 20 ΩR3 = 10 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 25 ΩR3​ = 8 ΩR5​ = 12 Ω+−V1​30 VR2​20 ΩIR2​AR4​25 ΩBR6​2 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 25 ΩR2 = 20 ΩR3 = 8 ΩR4 = 25 ΩR5 = 12 ΩR6 = 2 Ω
IR2 = A
6.Hard
R1​ = 12 ΩR3​ = 12 ΩR5​ = 6 Ω+−V1​36 VR2​6 ΩIR2​AR4​5 ΩBR6​30 Ω

Find the current IR2 through R2.

V1 = 36 VR1 = 12 ΩR2 = 6 ΩR3 = 12 ΩR4 = 5 ΩR5 = 6 ΩR6 = 30 Ω
IR2 = A

Answer key

  1. 1. IR1 = 1.429 A
  2. 2. IR2 = 0.3871 A
  3. 3. Req = 18.17 Ω
  4. 4. Req = 20 Ω
  5. 5. IR2 = 0.4029 A
  6. 6. IR2 = 1.608 A

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