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 ΩIR1​+−V1​6 VR2​2 ΩAR3​3 Ω

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

V1 = 6 VR1 = 10 ΩR2 = 2 ΩR3 = 3 Ω
IR1 = A
2.Easy
R1​ = 6 Ω+−V1​20 VR2​12 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 6 ΩR2 = 12 ΩR3 = 10 Ω
IR2 = A
3.Medium
R1​ = 4 ΩR3​ = 15 Ω+−V1​18 VR2​10 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 4 ΩR2 = 10 ΩR3 = 15 ΩR4 = 8 Ω
Req = Ω
4.Medium
R1​ = 2 ΩIR1​R3​ = 8 Ω+−V1​24 VR2​6 ΩAR4​2 ΩB

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

V1 = 24 VR1 = 2 ΩR2 = 6 ΩR3 = 8 ΩR4 = 2 Ω
IR1 = A
5.Hard
R1​ = 3 ΩIR1​R3​ = 3 ΩR5​ = 20 Ω+−V1​9 VR2​10 ΩAR4​4 ΩBR6​12 Ω

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

V1 = 9 VR1 = 3 ΩR2 = 10 ΩR3 = 3 ΩR4 = 4 ΩR5 = 20 ΩR6 = 12 Ω
IR1 = A
6.Hard
R1​ = 15 ΩIR1​R3​ = 6 ΩR5​ = 10 Ω+−V1​36 VR2​3 ΩAR4​10 ΩBR6​15 Ω

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

V1 = 36 VR1 = 15 ΩR2 = 3 ΩR3 = 6 ΩR4 = 10 ΩR5 = 10 ΩR6 = 15 Ω
IR1 = A

Answer key

  1. 1. IR1 = 0.5357 A
  2. 2. IR2 = 0.7937 A
  3. 3. Req = 10.97 Ω
  4. 4. IR1 = 4.174 A
  5. 5. IR1 = 1.293 A
  6. 6. IR1 = 2.064 A

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