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​12 VR2​12 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

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

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 4 ΩR2 = 4 ΩR3 = 8 Ω
Req = Ω
3.Medium
R1​ = 3 ΩIR1​R3​ = 4 Ω+−V1​6 VR2​3 ΩAR4​6 ΩB

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

V1 = 6 VR1 = 3 ΩR2 = 3 ΩR3 = 4 ΩR4 = 6 Ω
IR1 = A
4.Medium
R1​ = 4 ΩR3​ = 12 Ω+−V1​30 VR2​20 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 4 ΩR2 = 20 ΩR3 = 12 ΩR4 = 20 Ω
Req = Ω
5.Hard
R1​ = 8 ΩIR1​R3​ = 3 ΩR5​ = 2 Ω+−V1​5 VR2​10 ΩAR4​4 ΩBR6​2 Ω

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

V1 = 5 VR1 = 8 ΩR2 = 10 ΩR3 = 3 ΩR4 = 4 ΩR5 = 2 ΩR6 = 2 Ω
IR1 = A
6.Hard
R1​ = 8 ΩR3​ = 30 ΩR5​ = 10 Ω+−V1​36 VR2​4 ΩAR4​2 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 8 ΩR2 = 4 ΩR3 = 30 ΩR4 = 2 ΩR5 = 10 ΩR6 = 15 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.4444 A
  2. 2. Req = 6.667 Ω
  3. 3. IR1 = 1.13 A
  4. 4. Req = 16.31 Ω
  5. 5. IR1 = 0.4412 A
  6. 6. Req = 11.55 Ω

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