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 Ω+−V1​12 VR2​4 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 4 ΩR2 = 4 ΩR3 = 3 Ω
Req = Ω
2.Easy
R1​ = 2 ΩIR1​+−V1​20 VR2​4 ΩAR3​3 Ω

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

V1 = 20 VR1 = 2 ΩR2 = 4 ΩR3 = 3 Ω
IR1 = A
3.Medium
R1​ = 15 ΩR3​ = 8 Ω+−V1​12 VR2​15 ΩIR2​AR4​10 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 15 ΩR2 = 15 ΩR3 = 8 ΩR4 = 10 Ω
IR2 = A
4.Medium
R1​ = 8 ΩIR1​R3​ = 4 Ω+−V1​24 VR2​15 ΩAR4​10 ΩB

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

V1 = 24 VR1 = 8 ΩR2 = 15 ΩR3 = 4 ΩR4 = 10 Ω
IR1 = A
5.Hard
R1​ = 15 ΩR3​ = 6 ΩR5​ = 12 Ω+−V1​5 VR2​5 ΩAR4​25 ΩBR6​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 5 VR1 = 15 ΩR2 = 5 ΩR3 = 6 ΩR4 = 25 ΩR5 = 12 ΩR6 = 4 Ω
Req = Ω
6.Hard
R1​ = 5 ΩIR1​R3​ = 20 ΩR5​ = 8 Ω+−V1​10 VR2​2 ΩAR4​10 ΩBR6​10 Ω

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

V1 = 10 VR1 = 5 ΩR2 = 2 ΩR3 = 20 ΩR4 = 10 ΩR5 = 8 ΩR6 = 10 Ω
IR1 = A

Answer key

  1. 1. Req = 5.714 Ω
  2. 2. IR1 = 5.385 A
  3. 3. IR2 = 0.2824 A
  4. 4. IR1 = 1.575 A
  5. 5. Req = 18.8 Ω
  6. 6. IR1 = 1.458 A

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