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​6 VR2​5 ΩAR3​12 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 2 ΩR2 = 5 ΩR3 = 12 Ω
Req = Ω
2.Easy
R1​ = 4 Ω+−V1​12 VR2​3 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 4 ΩR2 = 3 ΩR3 = 3 Ω
IR2 = A
3.Medium
R1​ = 6 ΩIR1​R3​ = 15 Ω+−V1​10 VR2​15 ΩAR4​5 ΩB

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

V1 = 10 VR1 = 6 ΩR2 = 15 ΩR3 = 15 ΩR4 = 5 Ω
IR1 = A
4.Medium
R1​ = 10 ΩR3​ = 10 Ω+−V1​18 VR2​5 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 10 ΩR2 = 5 ΩR3 = 10 ΩR4 = 15 Ω
Req = Ω
5.Hard
R1​ = 15 ΩR3​ = 15 ΩR5​ = 6 Ω+−V1​36 VR2​15 ΩIR2​AR4​4 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 36 VR1 = 15 ΩR2 = 15 ΩR3 = 15 ΩR4 = 4 ΩR5 = 6 ΩR6 = 6 Ω
IR2 = A
6.Hard
R1​ = 5 ΩR3​ = 12 ΩR5​ = 4 Ω+−V1​15 VR2​3 ΩIR2​AR4​4 ΩBR6​2 Ω

Find the current IR2 through R2.

V1 = 15 VR1 = 5 ΩR2 = 3 ΩR3 = 12 ΩR4 = 4 ΩR5 = 4 ΩR6 = 2 Ω
IR2 = A

Answer key

  1. 1. Req = 5.529 Ω
  2. 2. IR2 = 1.091 A
  3. 3. IR1 = 0.6863 A
  4. 4. Req = 14.17 Ω
  5. 5. IR2 = 0.8471 A
  6. 6. IR2 = 1.659 A

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