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​6 VR2​8 ΩIR2​AR3​6 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 3 ΩR2 = 8 ΩR3 = 6 Ω
IR2 = A
2.Easy
R1​ = 4 ΩIR1​+−V1​10 VR2​10 ΩAR3​4 Ω

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

V1 = 10 VR1 = 4 ΩR2 = 10 ΩR3 = 4 Ω
IR1 = A
3.Medium
R1​ = 10 ΩR3​ = 4 Ω+−V1​10 VR2​8 ΩAR4​2 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 10 ΩR2 = 8 ΩR3 = 4 ΩR4 = 2 Ω
Req = Ω
4.Medium
R1​ = 3 ΩR3​ = 5 Ω+−V1​9 VR2​12 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 3 ΩR2 = 12 ΩR3 = 5 ΩR4 = 15 Ω
Req = Ω
5.Hard
R1​ = 3 ΩIR1​R3​ = 5 ΩR5​ = 2 Ω+−V1​36 VR2​3 ΩAR4​15 ΩBR6​6 Ω

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

V1 = 36 VR1 = 3 ΩR2 = 3 ΩR3 = 5 ΩR4 = 15 ΩR5 = 2 ΩR6 = 6 Ω
IR1 = A
6.Hard
R1​ = 30 ΩR3​ = 2 ΩR5​ = 6 Ω+−V1​36 VR2​25 ΩAR4​5 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 30 ΩR2 = 25 ΩR3 = 2 ΩR4 = 5 ΩR5 = 6 ΩR6 = 20 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.4 A
  2. 2. IR1 = 1.458 A
  3. 3. Req = 13.43 Ω
  4. 4. Req = 10.5 Ω
  5. 5. IR1 = 6.768 A
  6. 6. Req = 34.96 Ω

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