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​ = 6 ΩIR1​+−V1​15 VR2​6 ΩAR3​6 Ω

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

V1 = 15 VR1 = 6 ΩR2 = 6 ΩR3 = 6 Ω
IR1 = A
2.Easy
R1​ = 12 Ω+−V1​12 VR2​12 ΩIR2​AR3​6 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 12 ΩR2 = 12 ΩR3 = 6 Ω
IR2 = A
3.Medium
R1​ = 2 ΩR3​ = 2 Ω+−V1​18 VR2​2 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 2 ΩR2 = 2 ΩR3 = 2 ΩR4 = 4 Ω
Req = Ω
4.Medium
R1​ = 12 ΩR3​ = 12 Ω+−V1​30 VR2​6 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 12 ΩR2 = 6 ΩR3 = 12 ΩR4 = 4 Ω
Req = Ω
5.Hard
R1​ = 20 ΩR3​ = 3 ΩR5​ = 2 Ω+−V1​15 VR2​10 ΩAR4​5 ΩBR6​30 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 20 ΩR2 = 10 ΩR3 = 3 ΩR4 = 5 ΩR5 = 2 ΩR6 = 30 Ω
Req = Ω
6.Hard
R1​ = 4 ΩIR1​R3​ = 8 ΩR5​ = 20 Ω+−V1​24 VR2​3 ΩAR4​5 ΩBR6​5 Ω

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

V1 = 24 VR1 = 4 ΩR2 = 3 ΩR3 = 8 ΩR4 = 5 ΩR5 = 20 ΩR6 = 5 Ω
IR1 = A

Answer key

  1. 1. IR1 = 1.667 A
  2. 2. IR2 = 0.25 A
  3. 3. Req = 3.5 Ω
  4. 4. Req = 16.36 Ω
  5. 5. Req = 24.23 Ω
  6. 6. IR1 = 3.746 A

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