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 ΩIR1​+−V1​6 VR2​10 ΩAR3​3 Ω

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

V1 = 6 VR1 = 5 ΩR2 = 10 ΩR3 = 3 Ω
IR1 = A
2.Easy
R1​ = 3 Ω+−V1​6 VR2​4 ΩAR3​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 3 ΩR2 = 4 ΩR3 = 5 Ω
Req = Ω
3.Medium
R1​ = 12 ΩR3​ = 2 Ω+−V1​10 VR2​6 ΩIR2​AR4​8 ΩB

Find the current IR2 through R2.

V1 = 10 VR1 = 12 ΩR2 = 6 ΩR3 = 2 ΩR4 = 8 Ω
IR2 = A
4.Medium
R1​ = 20 ΩR3​ = 10 Ω+−V1​15 VR2​10 ΩIR2​AR4​4 ΩB

Find the current IR2 through R2.

V1 = 15 VR1 = 20 ΩR2 = 10 ΩR3 = 10 ΩR4 = 4 Ω
IR2 = A
5.Hard
R1​ = 2 ΩR3​ = 4 ΩR5​ = 8 Ω+−V1​10 VR2​6 ΩAR4​20 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 2 ΩR2 = 6 ΩR3 = 4 ΩR4 = 20 ΩR5 = 8 ΩR6 = 8 Ω
Req = Ω
6.Hard
R1​ = 20 ΩIR1​R3​ = 4 ΩR5​ = 20 Ω+−V1​18 VR2​15 ΩAR4​3 ΩBR6​30 Ω

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

V1 = 18 VR1 = 20 ΩR2 = 15 ΩR3 = 4 ΩR4 = 3 ΩR5 = 20 ΩR6 = 30 Ω
IR1 = A

Answer key

  1. 1. IR1 = 0.8211 A
  2. 2. Req = 5.222 Ω
  3. 3. IR2 = 0.3968 A
  4. 4. IR2 = 0.3387 A
  5. 5. Req = 6.094 Ω
  6. 6. IR1 = 0.7289 A

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