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​8 VR2​3 ΩAR3​12 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 2 ΩR2 = 3 ΩR3 = 12 Ω
Req = Ω
2.Easy
R1​ = 5 ΩIR1​+−V1​15 VR2​12 ΩAR3​5 Ω

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

V1 = 15 VR1 = 5 ΩR2 = 12 ΩR3 = 5 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 20 Ω+−V1​10 VR2​12 ΩIR2​AR4​20 ΩB

Find the current IR2 through R2.

V1 = 10 VR1 = 4 ΩR2 = 12 ΩR3 = 20 ΩR4 = 20 Ω
IR2 = A
4.Medium
R1​ = 2 ΩIR1​R3​ = 5 Ω+−V1​10 VR2​3 ΩAR4​15 ΩB

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

V1 = 10 VR1 = 2 ΩR2 = 3 ΩR3 = 5 ΩR4 = 15 Ω
IR1 = A
5.Hard
R1​ = 2 ΩIR1​R3​ = 2 ΩR5​ = 5 Ω+−V1​36 VR2​25 ΩAR4​15 ΩBR6​5 Ω

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

V1 = 36 VR1 = 2 ΩR2 = 25 ΩR3 = 2 ΩR4 = 15 ΩR5 = 5 ΩR6 = 5 Ω
IR1 = A
6.Hard
R1​ = 30 ΩIR1​R3​ = 12 ΩR5​ = 3 Ω+−V1​15 VR2​8 ΩAR4​8 ΩBR6​6 Ω

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

V1 = 15 VR1 = 30 ΩR2 = 8 ΩR3 = 12 ΩR4 = 8 ΩR5 = 3 ΩR6 = 6 Ω
IR1 = A

Answer key

  1. 1. Req = 4.4 Ω
  2. 2. IR1 = 1.759 A
  3. 3. IR2 = 0.5814 A
  4. 4. IR1 = 2.17 A
  5. 5. IR1 = 4.466 A
  6. 6. IR1 = 0.4242 A

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