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​18 VR2​5 ΩAR3​6 Ω

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

V1 = 18 VR1 = 12 ΩR2 = 5 ΩR3 = 6 Ω
IR1 = A
2.Easy
R1​ = 4 Ω+−V1​6 VR2​5 ΩAR3​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 4 ΩR2 = 5 ΩR3 = 2 Ω
Req = Ω
3.Medium
R1​ = 10 ΩR3​ = 4 Ω+−V1​9 VR2​12 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 10 ΩR2 = 12 ΩR3 = 4 ΩR4 = 3 Ω
IR2 = A
4.Medium
R1​ = 8 ΩR3​ = 6 Ω+−V1​24 VR2​15 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 8 ΩR2 = 15 ΩR3 = 6 ΩR4 = 4 Ω
Req = Ω
5.Hard
R1​ = 10 ΩR3​ = 4 ΩR5​ = 30 Ω+−V1​10 VR2​3 ΩAR4​10 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 10 ΩR2 = 3 ΩR3 = 4 ΩR4 = 10 ΩR5 = 30 ΩR6 = 20 Ω
Req = Ω
6.Hard
R1​ = 10 ΩR3​ = 5 ΩR5​ = 8 Ω+−V1​10 VR2​12 ΩAR4​5 ΩBR6​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 10 ΩR2 = 12 ΩR3 = 5 ΩR4 = 5 ΩR5 = 8 ΩR6 = 6 Ω
Req = Ω

Answer key

  1. 1. IR1 = 1.222 A
  2. 2. Req = 5.429 Ω
  3. 3. IR2 = 0.2299 A
  4. 4. Req = 14 Ω
  5. 5. Req = 12.41 Ω
  6. 6. Req = 15.04 Ω

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