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 ΩIR1​+−V1​15 VR2​2 ΩAR3​3 Ω

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

V1 = 15 VR1 = 10 ΩR2 = 2 ΩR3 = 3 Ω
IR1 = A
2.Easy
R1​ = 10 Ω+−V1​6 VR2​10 ΩIR2​AR3​5 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 10 ΩR2 = 10 ΩR3 = 5 Ω
IR2 = A
3.Medium
R1​ = 2 ΩR3​ = 8 Ω+−V1​15 VR2​3 ΩAR4​6 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 2 ΩR2 = 3 ΩR3 = 8 ΩR4 = 6 Ω
Req = Ω
4.Medium
R1​ = 2 ΩR3​ = 8 Ω+−V1​30 VR2​6 ΩIR2​AR4​10 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 2 ΩR2 = 6 ΩR3 = 8 ΩR4 = 10 Ω
IR2 = A
5.Hard
R1​ = 30 ΩR3​ = 20 ΩR5​ = 30 Ω+−V1​9 VR2​30 ΩIR2​AR4​8 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 9 VR1 = 30 ΩR2 = 30 ΩR3 = 20 ΩR4 = 8 ΩR5 = 30 ΩR6 = 6 Ω
IR2 = A
6.Hard
R1​ = 8 ΩR3​ = 20 ΩR5​ = 8 Ω+−V1​15 VR2​10 ΩIR2​AR4​20 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 15 VR1 = 8 ΩR2 = 10 ΩR3 = 20 ΩR4 = 20 ΩR5 = 8 ΩR6 = 6 Ω
IR2 = A

Answer key

  1. 1. IR1 = 1.339 A
  2. 2. IR2 = 0.15 A
  3. 3. Req = 4.471 Ω
  4. 4. IR2 = 3.462 A
  5. 5. IR2 = 0.09584 A
  6. 6. IR2 = 0.72 A

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