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​10 VR2​8 ΩIR2​AR3​5 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 4 ΩR2 = 8 ΩR3 = 5 Ω
IR2 = A
2.Easy
R1​ = 3 Ω+−V1​18 VR2​8 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

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

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

V1 = 6 VR1 = 2 ΩR2 = 12 ΩR3 = 3 ΩR4 = 8 Ω
IR1 = A
4.Medium
R1​ = 8 ΩR3​ = 15 Ω+−V1​12 VR2​6 ΩIR2​AR4​12 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 8 ΩR2 = 6 ΩR3 = 15 ΩR4 = 12 Ω
IR2 = A
5.Hard
R1​ = 5 ΩR3​ = 25 ΩR5​ = 10 Ω+−V1​15 VR2​25 ΩAR4​6 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 5 ΩR2 = 25 ΩR3 = 25 ΩR4 = 6 ΩR5 = 10 ΩR6 = 8 Ω
Req = Ω
6.Hard
R1​ = 15 ΩR3​ = 10 ΩR5​ = 30 Ω+−V1​12 VR2​6 ΩAR4​30 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 15 ΩR2 = 6 ΩR3 = 10 ΩR4 = 30 ΩR5 = 30 ΩR6 = 5 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.5435 A
  2. 2. Req = 5.182 Ω
  3. 3. IR1 = 0.7753 A
  4. 4. IR2 = 0.7606 A
  5. 5. Req = 18.53 Ω
  6. 6. Req = 19.88 Ω

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