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​6 VR2​4 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 4 ΩR2 = 4 ΩR3 = 10 Ω
IR2 = A
2.Easy
R1​ = 2 ΩIR1​+−V1​20 VR2​3 ΩAR3​6 Ω

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

V1 = 20 VR1 = 2 ΩR2 = 3 ΩR3 = 6 Ω
IR1 = A
3.Medium
R1​ = 6 ΩR3​ = 6 Ω+−V1​9 VR2​15 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 6 ΩR2 = 15 ΩR3 = 6 ΩR4 = 5 Ω
Req = Ω
4.Medium
R1​ = 2 ΩR3​ = 4 Ω+−V1​12 VR2​15 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 2 ΩR2 = 15 ΩR3 = 4 ΩR4 = 15 Ω
Req = Ω
5.Hard
R1​ = 15 ΩIR1​R3​ = 3 ΩR5​ = 4 Ω+−V1​30 VR2​3 ΩAR4​8 ΩBR6​6 Ω

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

V1 = 30 VR1 = 15 ΩR2 = 3 ΩR3 = 3 ΩR4 = 8 ΩR5 = 4 ΩR6 = 6 Ω
IR1 = A
6.Hard
R1​ = 5 ΩR3​ = 6 ΩR5​ = 30 Ω+−V1​9 VR2​3 ΩAR4​12 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 5 ΩR2 = 3 ΩR3 = 6 ΩR4 = 12 ΩR5 = 30 ΩR6 = 8 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.625 A
  2. 2. IR1 = 5 A
  3. 3. Req = 12.35 Ω
  4. 4. Req = 10.38 Ω
  5. 5. IR1 = 1.75 A
  6. 6. Req = 7.503 Ω

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