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​ = 2 Ω+−V1​12 VR2​3 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 2 ΩR2 = 3 ΩR3 = 3 Ω
IR2 = A
2.Easy
R1​ = 3 ΩIR1​+−V1​15 VR2​10 ΩAR3​12 Ω

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

V1 = 15 VR1 = 3 ΩR2 = 10 ΩR3 = 12 Ω
IR1 = A
3.Medium
R1​ = 20 ΩR3​ = 4 Ω+−V1​30 VR2​3 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 20 ΩR2 = 3 ΩR3 = 4 ΩR4 = 4 Ω
Req = Ω
4.Medium
R1​ = 3 ΩR3​ = 20 Ω+−V1​9 VR2​15 ΩIR2​AR4​4 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 3 ΩR2 = 15 ΩR3 = 20 ΩR4 = 4 Ω
IR2 = A
5.Hard
R1​ = 10 ΩR3​ = 3 ΩR5​ = 25 Ω+−V1​30 VR2​4 ΩAR4​20 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 10 ΩR2 = 4 ΩR3 = 3 ΩR4 = 20 ΩR5 = 25 ΩR6 = 8 Ω
Req = Ω
6.Hard
R1​ = 20 ΩR3​ = 25 ΩR5​ = 6 Ω+−V1​9 VR2​15 ΩIR2​AR4​12 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 9 VR1 = 20 ΩR2 = 15 ΩR3 = 25 ΩR4 = 12 ΩR5 = 6 ΩR6 = 6 Ω
IR2 = A

Answer key

  1. 1. IR2 = 1.714 A
  2. 2. IR1 = 1.774 A
  3. 3. Req = 22.18 Ω
  4. 4. IR2 = 0.4528 A
  5. 5. Req = 13.18 Ω
  6. 6. IR2 = 0.2014 A

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