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​ = 12 Ω+−V1​15 VR2​12 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 12 ΩR2 = 12 ΩR3 = 3 Ω
Req = Ω
2.Easy
R1​ = 12 Ω+−V1​8 VR2​4 ΩIR2​AR3​6 Ω

Find the current IR2 through R2.

V1 = 8 VR1 = 12 ΩR2 = 4 ΩR3 = 6 Ω
IR2 = A
3.Medium
R1​ = 2 ΩIR1​R3​ = 3 Ω+−V1​18 VR2​5 ΩAR4​8 ΩB

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

V1 = 18 VR1 = 2 ΩR2 = 5 ΩR3 = 3 ΩR4 = 8 Ω
IR1 = A
4.Medium
R1​ = 2 ΩIR1​R3​ = 8 Ω+−V1​12 VR2​3 ΩAR4​3 ΩB

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

V1 = 12 VR1 = 2 ΩR2 = 3 ΩR3 = 8 ΩR4 = 3 Ω
IR1 = A
5.Hard
R1​ = 10 ΩR3​ = 5 ΩR5​ = 20 Ω+−V1​36 VR2​3 ΩIR2​AR4​8 ΩBR6​15 Ω

Find the current IR2 through R2.

V1 = 36 VR1 = 10 ΩR2 = 3 ΩR3 = 5 ΩR4 = 8 ΩR5 = 20 ΩR6 = 15 Ω
IR2 = A
6.Hard
R1​ = 5 ΩR3​ = 20 ΩR5​ = 6 Ω+−V1​15 VR2​4 ΩAR4​25 ΩBR6​30 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 5 ΩR2 = 4 ΩR3 = 20 ΩR4 = 25 ΩR5 = 6 ΩR6 = 30 Ω
Req = Ω

Answer key

  1. 1. Req = 14.4 Ω
  2. 2. IR2 = 0.3333 A
  3. 3. IR1 = 3.31 A
  4. 4. IR1 = 2.754 A
  5. 5. IR2 = 2.307 A
  6. 6. Req = 8.587 Ω

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