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​ = 6 Ω+−V1​12 VR2​4 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 6 ΩR2 = 4 ΩR3 = 10 Ω
IR2 = A
2.Easy
R1​ = 6 Ω+−V1​8 VR2​5 ΩAR3​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 6 ΩR2 = 5 ΩR3 = 5 Ω
Req = Ω
3.Medium
R1​ = 4 ΩIR1​R3​ = 10 Ω+−V1​18 VR2​12 ΩAR4​12 ΩB

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

V1 = 18 VR1 = 4 ΩR2 = 12 ΩR3 = 10 ΩR4 = 12 Ω
IR1 = A
4.Medium
R1​ = 12 ΩR3​ = 6 Ω+−V1​30 VR2​4 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 12 ΩR2 = 4 ΩR3 = 6 ΩR4 = 8 Ω
Req = Ω
5.Hard
R1​ = 12 ΩR3​ = 6 ΩR5​ = 5 Ω+−V1​10 VR2​8 ΩAR4​30 ΩBR6​4 Ω

Find the equivalent resistance Req seen by the source V1.

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

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 6 ΩR2 = 3 ΩR3 = 15 ΩR4 = 3 ΩR5 = 5 ΩR6 = 6 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.9677 A
  2. 2. Req = 8.5 Ω
  3. 3. IR1 = 1.53 A
  4. 4. Req = 15.11 Ω
  5. 5. Req = 16.94 Ω
  6. 6. Req = 8.558 Ω

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