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​ = 10 Ω+−V1​24 VR2​8 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 10 ΩR2 = 8 ΩR3 = 4 Ω
Req = Ω
2.Easy
R1​ = 4 Ω+−V1​8 VR2​2 ΩIR2​AR3​2 Ω

Find the current IR2 through R2.

V1 = 8 VR1 = 4 ΩR2 = 2 ΩR3 = 2 Ω
IR2 = A
3.Medium
R1​ = 10 ΩIR1​R3​ = 15 Ω+−V1​9 VR2​3 ΩAR4​12 ΩB

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

V1 = 9 VR1 = 10 ΩR2 = 3 ΩR3 = 15 ΩR4 = 12 Ω
IR1 = A
4.Medium
R1​ = 12 ΩR3​ = 10 Ω+−V1​10 VR2​8 ΩAR4​3 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 12 ΩR2 = 8 ΩR3 = 10 ΩR4 = 3 Ω
Req = Ω
5.Hard
R1​ = 2 ΩIR1​R3​ = 4 ΩR5​ = 25 Ω+−V1​5 VR2​3 ΩAR4​20 ΩBR6​8 Ω

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

V1 = 5 VR1 = 2 ΩR2 = 3 ΩR3 = 4 ΩR4 = 20 ΩR5 = 25 ΩR6 = 8 Ω
IR1 = A
6.Hard
R1​ = 20 ΩR3​ = 8 ΩR5​ = 8 Ω+−V1​30 VR2​4 ΩIR2​AR4​12 ΩBR6​10 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 20 ΩR2 = 4 ΩR3 = 8 ΩR4 = 12 ΩR5 = 8 ΩR6 = 10 Ω
IR2 = A

Answer key

  1. 1. Req = 12.67 Ω
  2. 2. IR2 = 0.8 A
  3. 3. IR1 = 0.7087 A
  4. 4. Req = 16.95 Ω
  5. 5. IR1 = 1.102 A
  6. 6. IR2 = 1.025 A

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