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​6 VR2​3 ΩIR2​AR3​5 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 10 ΩR2 = 3 ΩR3 = 5 Ω
IR2 = A
2.Easy
R1​ = 10 ΩIR1​+−V1​6 VR2​3 ΩAR3​4 Ω

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

V1 = 6 VR1 = 10 ΩR2 = 3 ΩR3 = 4 Ω
IR1 = A
3.Medium
R1​ = 20 ΩR3​ = 12 Ω+−V1​30 VR2​3 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 20 ΩR2 = 3 ΩR3 = 12 ΩR4 = 15 Ω
Req = Ω
4.Medium
R1​ = 10 ΩIR1​R3​ = 12 Ω+−V1​10 VR2​6 ΩAR4​6 ΩB

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

V1 = 10 VR1 = 10 ΩR2 = 6 ΩR3 = 12 ΩR4 = 6 Ω
IR1 = A
5.Hard
R1​ = 4 ΩR3​ = 2 ΩR5​ = 20 Ω+−V1​36 VR2​25 ΩAR4​12 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 4 ΩR2 = 25 ΩR3 = 2 ΩR4 = 12 ΩR5 = 20 ΩR6 = 8 Ω
Req = Ω
6.Hard
R1​ = 20 ΩIR1​R3​ = 25 ΩR5​ = 5 Ω+−V1​9 VR2​10 ΩAR4​2 ΩBR6​2 Ω

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

V1 = 9 VR1 = 20 ΩR2 = 10 ΩR3 = 25 ΩR4 = 2 ΩR5 = 5 ΩR6 = 2 Ω
IR1 = A

Answer key

  1. 1. IR2 = 0.3158 A
  2. 2. IR1 = 0.5122 A
  3. 3. Req = 22.7 Ω
  4. 4. IR1 = 0.6897 A
  5. 5. Req = 11.34 Ω
  6. 6. IR1 = 0.3301 A

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