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​ = 5 Ω+−V1​10 VR2​2 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 5 ΩR2 = 2 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 8 ΩIR1​+−V1​24 VR2​4 ΩAR3​12 Ω

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

V1 = 24 VR1 = 8 ΩR2 = 4 ΩR3 = 12 Ω
IR1 = A
3.Medium
R1​ = 6 ΩR3​ = 2 Ω+−V1​15 VR2​4 ΩAR4​3 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 6 ΩR2 = 4 ΩR3 = 2 ΩR4 = 3 Ω
Req = Ω
4.Medium
R1​ = 4 ΩR3​ = 15 Ω+−V1​10 VR2​20 ΩAR4​12 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 4 ΩR2 = 20 ΩR3 = 15 ΩR4 = 12 Ω
Req = Ω
5.Hard
R1​ = 10 ΩR3​ = 2 ΩR5​ = 2 Ω+−V1​18 VR2​25 ΩAR4​5 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 10 ΩR2 = 25 ΩR3 = 2 ΩR4 = 5 ΩR5 = 2 ΩR6 = 3 Ω
Req = Ω
6.Hard
R1​ = 5 ΩR3​ = 10 ΩR5​ = 3 Ω+−V1​36 VR2​3 ΩAR4​12 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 5 ΩR2 = 3 ΩR3 = 10 ΩR4 = 12 ΩR5 = 3 ΩR6 = 15 Ω
Req = Ω

Answer key

  1. 1. IR2 = 1.277 A
  2. 2. IR1 = 2.182 A
  3. 3. Req = 8.222 Ω
  4. 4. Req = 15.49 Ω
  5. 5. Req = 13.81 Ω
  6. 6. Req = 7.554 Ω

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