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​20 VR2​8 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 5 ΩR2 = 8 ΩR3 = 3 Ω
IR2 = A
2.Easy
R1​ = 8 Ω+−V1​6 VR2​4 ΩAR3​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 8 ΩR2 = 4 ΩR3 = 2 Ω
Req = Ω
3.Medium
R1​ = 12 ΩIR1​R3​ = 5 Ω+−V1​15 VR2​15 ΩAR4​4 ΩB

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

V1 = 15 VR1 = 12 ΩR2 = 15 ΩR3 = 5 ΩR4 = 4 Ω
IR1 = A
4.Medium
R1​ = 5 ΩR3​ = 15 Ω+−V1​6 VR2​10 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

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

Find the current IR2 through R2.

V1 = 10 VR1 = 10 ΩR2 = 4 ΩR3 = 5 ΩR4 = 6 ΩR5 = 15 ΩR6 = 8 Ω
IR2 = A
6.Hard
R1​ = 15 ΩR3​ = 5 ΩR5​ = 30 Ω+−V1​6 VR2​3 ΩIR2​AR4​4 ΩBR6​2 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 15 ΩR2 = 3 ΩR3 = 5 ΩR4 = 4 ΩR5 = 30 ΩR6 = 2 Ω
IR2 = A

Answer key

  1. 1. IR2 = 0.7595 A
  2. 2. Req = 9.333 Ω
  3. 3. IR1 = 0.8511 A
  4. 4. Req = 11.55 Ω
  5. 5. IR2 = 0.5525 A
  6. 6. IR2 = 0.258 A

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