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 ΩIR1​+−V1​15 VR2​4 ΩAR3​4 Ω

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

V1 = 15 VR1 = 4 ΩR2 = 4 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 2 Ω+−V1​20 VR2​10 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 2 ΩR2 = 10 ΩR3 = 8 Ω
IR2 = A
3.Medium
R1​ = 2 ΩR3​ = 20 Ω+−V1​10 VR2​8 ΩAR4​12 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 2 ΩR2 = 8 ΩR3 = 20 ΩR4 = 12 Ω
Req = Ω
4.Medium
R1​ = 3 ΩR3​ = 10 Ω+−V1​9 VR2​8 ΩIR2​AR4​6 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 3 ΩR2 = 8 ΩR3 = 10 ΩR4 = 6 Ω
IR2 = A
5.Hard
R1​ = 20 ΩR3​ = 5 ΩR5​ = 6 Ω+−V1​36 VR2​5 ΩAR4​15 ΩBR6​30 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 20 ΩR2 = 5 ΩR3 = 5 ΩR4 = 15 ΩR5 = 6 ΩR6 = 30 Ω
Req = Ω
6.Hard
R1​ = 20 ΩR3​ = 8 ΩR5​ = 3 Ω+−V1​30 VR2​10 ΩIR2​AR4​20 ΩBR6​30 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 20 ΩR2 = 10 ΩR3 = 8 ΩR4 = 20 ΩR5 = 3 ΩR6 = 30 Ω
IR2 = A

Answer key

  1. 1. IR1 = 2.5 A
  2. 2. IR2 = 1.379 A
  3. 3. Req = 8.4 Ω
  4. 4. IR2 = 0.72 A
  5. 5. Req = 23.79 Ω
  6. 6. IR2 = 0.7542 A

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