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​ = 2 Ω+−V1​8 VR2​10 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 8 VR1 = 2 ΩR2 = 10 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 3 Ω+−V1​20 VR2​10 ΩAR3​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 3 ΩR2 = 10 ΩR3 = 6 Ω
Req = Ω
3.Medium
R1​ = 20 ΩIR1​R3​ = 3 Ω+−V1​15 VR2​6 ΩAR4​20 ΩB

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

V1 = 15 VR1 = 20 ΩR2 = 6 ΩR3 = 3 ΩR4 = 20 Ω
IR1 = A
4.Medium
R1​ = 12 ΩIR1​R3​ = 3 Ω+−V1​10 VR2​10 ΩAR4​10 ΩB

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

V1 = 10 VR1 = 12 ΩR2 = 10 ΩR3 = 3 ΩR4 = 10 Ω
IR1 = A
5.Hard
R1​ = 3 ΩR3​ = 6 ΩR5​ = 20 Ω+−V1​30 VR2​10 ΩIR2​AR4​12 ΩBR6​2 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 3 ΩR2 = 10 ΩR3 = 6 ΩR4 = 12 ΩR5 = 20 ΩR6 = 2 Ω
IR2 = A
6.Hard
R1​ = 6 ΩR3​ = 30 ΩR5​ = 10 Ω+−V1​5 VR2​12 ΩIR2​AR4​12 ΩBR6​20 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 6 ΩR2 = 12 ΩR3 = 30 ΩR4 = 12 ΩR5 = 10 ΩR6 = 20 Ω
IR2 = A

Answer key

  1. 1. IR2 = 0.5854 A
  2. 2. Req = 6.75 Ω
  3. 3. IR1 = 0.6058 A
  4. 4. IR1 = 0.5665 A
  5. 5. IR2 = 1.976 A
  6. 6. IR2 = 0.2517 A

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