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​ = 3 Ω+−V1​15 VR2​6 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 15 VR1 = 3 ΩR2 = 6 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 12 ΩIR1​+−V1​24 VR2​4 ΩAR3​8 Ω

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

V1 = 24 VR1 = 12 ΩR2 = 4 ΩR3 = 8 Ω
IR1 = A
3.Medium
R1​ = 12 ΩR3​ = 2 Ω+−V1​30 VR2​8 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 12 ΩR2 = 8 ΩR3 = 2 ΩR4 = 4 Ω
Req = Ω
4.Medium
R1​ = 15 ΩR3​ = 6 Ω+−V1​24 VR2​20 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 15 ΩR2 = 20 ΩR3 = 6 ΩR4 = 4 Ω
Req = Ω
5.Hard
R1​ = 8 ΩIR1​R3​ = 12 ΩR5​ = 5 Ω+−V1​10 VR2​3 ΩAR4​10 ΩBR6​2 Ω

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

V1 = 10 VR1 = 8 ΩR2 = 3 ΩR3 = 12 ΩR4 = 10 ΩR5 = 5 ΩR6 = 2 Ω
IR1 = A
6.Hard
R1​ = 10 ΩR3​ = 6 ΩR5​ = 2 Ω+−V1​15 VR2​4 ΩAR4​4 ΩBR6​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 10 ΩR2 = 4 ΩR3 = 6 ΩR4 = 4 ΩR5 = 2 ΩR6 = 2 Ω
Req = Ω

Answer key

  1. 1. IR2 = 1.429 A
  2. 2. IR1 = 1.636 A
  3. 3. Req = 15.43 Ω
  4. 4. Req = 21.67 Ω
  5. 5. IR1 = 0.9497 A
  6. 6. Req = 12.67 Ω

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