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​ = 10 Ω+−V1​10 VR2​8 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 10 ΩR2 = 8 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 5 ΩIR1​+−V1​6 VR2​6 ΩAR3​2 Ω

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

V1 = 6 VR1 = 5 ΩR2 = 6 ΩR3 = 2 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 20 Ω+−V1​18 VR2​8 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 4 ΩR2 = 8 ΩR3 = 20 ΩR4 = 4 Ω
Req = Ω
4.Medium
R1​ = 5 ΩR3​ = 10 Ω+−V1​12 VR2​2 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 5 ΩR2 = 2 ΩR3 = 10 ΩR4 = 5 Ω
Req = Ω
5.Hard
R1​ = 5 ΩR3​ = 30 ΩR5​ = 2 Ω+−V1​9 VR2​3 ΩAR4​2 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 5 ΩR2 = 3 ΩR3 = 30 ΩR4 = 2 ΩR5 = 2 ΩR6 = 3 Ω
Req = Ω
6.Hard
R1​ = 8 ΩR3​ = 10 ΩR5​ = 20 Ω+−V1​30 VR2​5 ΩAR4​30 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 8 ΩR2 = 5 ΩR3 = 10 ΩR4 = 30 ΩR5 = 20 ΩR6 = 3 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.4054 A
  2. 2. IR1 = 0.9231 A
  3. 3. Req = 10 Ω
  4. 4. Req = 6.765 Ω
  5. 5. Req = 7.739 Ω
  6. 6. Req = 12.11 Ω

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