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​ = 12 ΩIR1​+−V1​6 VR2​12 ΩAR3​12 Ω

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

V1 = 6 VR1 = 12 ΩR2 = 12 ΩR3 = 12 Ω
IR1 = A
2.Easy
R1​ = 6 Ω+−V1​20 VR2​2 ΩAR3​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 6 ΩR2 = 2 ΩR3 = 5 Ω
Req = Ω
3.Medium
R1​ = 15 ΩR3​ = 3 Ω+−V1​18 VR2​5 ΩIR2​AR4​5 ΩB

Find the current IR2 through R2.

V1 = 18 VR1 = 15 ΩR2 = 5 ΩR3 = 3 ΩR4 = 5 Ω
IR2 = A
4.Medium
R1​ = 15 ΩR3​ = 3 Ω+−V1​30 VR2​3 ΩIR2​AR4​2 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 15 ΩR2 = 3 ΩR3 = 3 ΩR4 = 2 Ω
IR2 = A
5.Hard
R1​ = 2 ΩR3​ = 25 ΩR5​ = 2 Ω+−V1​5 VR2​15 ΩIR2​AR4​5 ΩBR6​3 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 2 ΩR2 = 15 ΩR3 = 25 ΩR4 = 5 ΩR5 = 2 ΩR6 = 3 Ω
IR2 = A
6.Hard
R1​ = 10 ΩR3​ = 30 ΩR5​ = 12 Ω+−V1​36 VR2​2 ΩIR2​AR4​2 ΩBR6​3 Ω

Find the current IR2 through R2.

V1 = 36 VR1 = 10 ΩR2 = 2 ΩR3 = 30 ΩR4 = 2 ΩR5 = 12 ΩR6 = 3 Ω
IR2 = A

Answer key

  1. 1. IR1 = 0.3333 A
  2. 2. Req = 7.429 Ω
  3. 3. IR2 = 0.6128 A
  4. 4. IR2 = 1.111 A
  5. 5. IR2 = 0.2764 A
  6. 6. IR2 = 2.85 A

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