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​ = 12 ΩIR1​+−V1​24 VR2​5 ΩAR3​12 Ω

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

V1 = 24 VR1 = 12 ΩR2 = 5 ΩR3 = 12 Ω
IR1 = A
2.Easy
R1​ = 8 Ω+−V1​24 VR2​12 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 8 ΩR2 = 12 ΩR3 = 12 Ω
IR2 = A
3.Medium
R1​ = 15 ΩR3​ = 12 Ω+−V1​6 VR2​15 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 15 ΩR2 = 15 ΩR3 = 12 ΩR4 = 5 Ω
Req = Ω
4.Medium
R1​ = 4 ΩR3​ = 4 Ω+−V1​15 VR2​2 ΩIR2​AR4​15 ΩB

Find the current IR2 through R2.

V1 = 15 VR1 = 4 ΩR2 = 2 ΩR3 = 4 ΩR4 = 15 Ω
IR2 = A
5.Hard
R1​ = 4 ΩR3​ = 8 ΩR5​ = 4 Ω+−V1​24 VR2​12 ΩAR4​3 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 4 ΩR2 = 12 ΩR3 = 8 ΩR4 = 3 ΩR5 = 4 ΩR6 = 3 Ω
Req = Ω
6.Hard
R1​ = 2 ΩIR1​R3​ = 30 ΩR5​ = 25 Ω+−V1​30 VR2​5 ΩAR4​8 ΩBR6​25 Ω

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

V1 = 30 VR1 = 2 ΩR2 = 5 ΩR3 = 30 ΩR4 = 8 ΩR5 = 25 ΩR6 = 25 Ω
IR1 = A

Answer key

  1. 1. IR1 = 1.545 A
  2. 2. IR2 = 0.8571 A
  3. 3. Req = 22.97 Ω
  4. 4. IR2 = 2.336 A
  5. 5. Req = 9.484 Ω
  6. 6. IR1 = 4.685 A

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