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​ = 4 Ω+−V1​8 VR2​10 ΩIR2​AR3​2 Ω

Find the current IR2 through R2.

V1 = 8 VR1 = 4 ΩR2 = 10 ΩR3 = 2 Ω
IR2 = A
2.Easy
R1​ = 3 Ω+−V1​10 VR2​6 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 3 ΩR2 = 6 ΩR3 = 10 Ω
Req = Ω
3.Medium
R1​ = 10 ΩIR1​R3​ = 10 Ω+−V1​24 VR2​20 ΩAR4​15 ΩB

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

V1 = 24 VR1 = 10 ΩR2 = 20 ΩR3 = 10 ΩR4 = 15 Ω
IR1 = A
4.Medium
R1​ = 4 ΩR3​ = 5 Ω+−V1​24 VR2​2 ΩAR4​2 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 4 ΩR2 = 2 ΩR3 = 5 ΩR4 = 2 Ω
Req = Ω
5.Hard
R1​ = 15 ΩIR1​R3​ = 3 ΩR5​ = 10 Ω+−V1​36 VR2​2 ΩAR4​3 ΩBR6​20 Ω

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

V1 = 36 VR1 = 15 ΩR2 = 2 ΩR3 = 3 ΩR4 = 3 ΩR5 = 10 ΩR6 = 20 Ω
IR1 = A
6.Hard
R1​ = 12 ΩR3​ = 10 ΩR5​ = 4 Ω+−V1​15 VR2​10 ΩAR4​15 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 12 ΩR2 = 10 ΩR3 = 10 ΩR4 = 15 ΩR5 = 4 ΩR6 = 20 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.2353 A
  2. 2. Req = 6.75 Ω
  3. 3. IR1 = 1.137 A
  4. 4. Req = 5.556 Ω
  5. 5. IR1 = 2.184 A
  6. 6. Req = 18.58 Ω

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