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​20 VR2​8 ΩIR2​AR3​4 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 2 ΩR2 = 8 ΩR3 = 4 Ω
IR2 = A
2.Easy
R1​ = 2 Ω+−V1​12 VR2​2 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 2 ΩR2 = 2 ΩR3 = 8 Ω
Req = Ω
3.Medium
R1​ = 8 ΩIR1​R3​ = 2 Ω+−V1​9 VR2​6 ΩAR4​6 ΩB

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

V1 = 9 VR1 = 8 ΩR2 = 6 ΩR3 = 2 ΩR4 = 6 Ω
IR1 = A
4.Medium
R1​ = 3 ΩIR1​R3​ = 4 Ω+−V1​30 VR2​8 ΩAR4​15 ΩB

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

V1 = 30 VR1 = 3 ΩR2 = 8 ΩR3 = 4 ΩR4 = 15 Ω
IR1 = A
5.Hard
R1​ = 10 ΩR3​ = 6 ΩR5​ = 10 Ω+−V1​18 VR2​3 ΩAR4​15 ΩBR6​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 10 ΩR2 = 3 ΩR3 = 6 ΩR4 = 15 ΩR5 = 10 ΩR6 = 6 Ω
Req = Ω
6.Hard
R1​ = 25 ΩIR1​R3​ = 4 ΩR5​ = 15 Ω+−V1​12 VR2​3 ΩAR4​5 ΩBR6​15 Ω

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

V1 = 12 VR1 = 25 ΩR2 = 3 ΩR3 = 4 ΩR4 = 5 ΩR5 = 15 ΩR6 = 15 Ω
IR1 = A

Answer key

  1. 1. IR2 = 1.429 A
  2. 2. Req = 3.6 Ω
  3. 3. IR1 = 0.7875 A
  4. 4. IR1 = 3.476 A
  5. 5. Req = 12.46 Ω
  6. 6. IR1 = 0.4411 A

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