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​ = 5 Ω+−V1​6 VR2​8 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 5 ΩR2 = 8 ΩR3 = 3 Ω
IR2 = A
2.Easy
R1​ = 10 ΩIR1​+−V1​18 VR2​5 ΩAR3​3 Ω

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

V1 = 18 VR1 = 10 ΩR2 = 5 ΩR3 = 3 Ω
IR1 = A
3.Medium
R1​ = 5 ΩR3​ = 4 Ω+−V1​18 VR2​3 ΩAR4​3 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 5 ΩR2 = 3 ΩR3 = 4 ΩR4 = 3 Ω
Req = Ω
4.Medium
R1​ = 15 ΩR3​ = 4 Ω+−V1​24 VR2​10 ΩAR4​6 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 15 ΩR2 = 10 ΩR3 = 4 ΩR4 = 6 Ω
Req = Ω
5.Hard
R1​ = 15 ΩR3​ = 2 ΩR5​ = 8 Ω+−V1​30 VR2​25 ΩIR2​AR4​15 ΩBR6​10 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 15 ΩR2 = 25 ΩR3 = 2 ΩR4 = 15 ΩR5 = 8 ΩR6 = 10 Ω
IR2 = A
6.Hard
R1​ = 10 ΩR3​ = 15 ΩR5​ = 10 Ω+−V1​15 VR2​20 ΩIR2​AR4​3 ΩBR6​10 Ω

Find the current IR2 through R2.

V1 = 15 VR1 = 10 ΩR2 = 20 ΩR3 = 15 ΩR4 = 3 ΩR5 = 10 ΩR6 = 10 Ω
IR2 = A

Answer key

  1. 1. IR2 = 0.2278 A
  2. 2. IR1 = 1.516 A
  3. 3. Req = 7.1 Ω
  4. 4. Req = 20 Ω
  5. 5. IR2 = 0.3905 A
  6. 6. IR2 = 0.3627 A

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