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​ = 4 Ω+−V1​8 VR2​3 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 4 ΩR2 = 3 ΩR3 = 8 Ω
Req = Ω
2.Easy
R1​ = 8 Ω+−V1​12 VR2​3 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 8 ΩR2 = 3 ΩR3 = 8 Ω
IR2 = A
3.Medium
R1​ = 6 ΩIR1​R3​ = 20 Ω+−V1​24 VR2​4 ΩAR4​10 ΩB

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

V1 = 24 VR1 = 6 ΩR2 = 4 ΩR3 = 20 ΩR4 = 10 Ω
IR1 = A
4.Medium
R1​ = 4 ΩIR1​R3​ = 2 Ω+−V1​9 VR2​5 ΩAR4​15 ΩB

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

V1 = 9 VR1 = 4 ΩR2 = 5 ΩR3 = 2 ΩR4 = 15 Ω
IR1 = A
5.Hard
R1​ = 5 ΩIR1​R3​ = 30 ΩR5​ = 12 Ω+−V1​9 VR2​15 ΩAR4​3 ΩBR6​20 Ω

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

V1 = 9 VR1 = 5 ΩR2 = 15 ΩR3 = 30 ΩR4 = 3 ΩR5 = 12 ΩR6 = 20 Ω
IR1 = A
6.Hard
R1​ = 25 ΩR3​ = 25 ΩR5​ = 4 Ω+−V1​10 VR2​8 ΩAR4​15 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 25 ΩR2 = 8 ΩR3 = 25 ΩR4 = 15 ΩR5 = 4 ΩR6 = 3 Ω
Req = Ω

Answer key

  1. 1. Req = 6.182 Ω
  2. 2. IR2 = 0.8571 A
  3. 3. IR1 = 2.519 A
  4. 4. IR1 = 1.145 A
  5. 5. IR1 = 0.5887 A
  6. 6. Req = 31.31 Ω

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