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​ = 4 ΩIR1​+−V1​15 VR2​4 ΩAR3​4 Ω

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

V1 = 15 VR1 = 4 ΩR2 = 4 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 2 Ω+−V1​8 VR2​12 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 2 ΩR2 = 12 ΩR3 = 4 Ω
Req = Ω
3.Medium
R1​ = 8 ΩR3​ = 20 Ω+−V1​24 VR2​5 ΩIR2​AR4​20 ΩB

Find the current IR2 through R2.

V1 = 24 VR1 = 8 ΩR2 = 5 ΩR3 = 20 ΩR4 = 20 Ω
IR2 = A
4.Medium
R1​ = 15 ΩR3​ = 5 Ω+−V1​12 VR2​10 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 15 ΩR2 = 10 ΩR3 = 5 ΩR4 = 3 Ω
IR2 = A
5.Hard
R1​ = 30 ΩR3​ = 8 ΩR5​ = 4 Ω+−V1​15 VR2​10 ΩAR4​15 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 30 ΩR2 = 10 ΩR3 = 8 ΩR4 = 15 ΩR5 = 4 ΩR6 = 15 Ω
Req = Ω
6.Hard
R1​ = 10 ΩIR1​R3​ = 8 ΩR5​ = 4 Ω+−V1​15 VR2​15 ΩAR4​10 ΩBR6​30 Ω

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

V1 = 15 VR1 = 10 ΩR2 = 15 ΩR3 = 8 ΩR4 = 10 ΩR5 = 4 ΩR6 = 30 Ω
IR1 = A

Answer key

  1. 1. IR1 = 2.5 A
  2. 2. Req = 5 Ω
  3. 3. IR2 = 1.714 A
  4. 4. IR2 = 0.2743 A
  5. 5. Req = 36.21 Ω
  6. 6. IR1 = 0.8485 A

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