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​3 ΩAR3​5 Ω

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

V1 = 6 VR1 = 10 ΩR2 = 3 ΩR3 = 5 Ω
IR1 = A
2.Easy
R1​ = 5 Ω+−V1​20 VR2​4 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

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

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 2 ΩR2 = 10 ΩR3 = 10 ΩR4 = 3 Ω
Req = Ω
4.Medium
R1​ = 15 ΩIR1​R3​ = 15 Ω+−V1​24 VR2​6 ΩAR4​5 ΩB

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

V1 = 24 VR1 = 15 ΩR2 = 6 ΩR3 = 15 ΩR4 = 5 Ω
IR1 = A
5.Hard
R1​ = 25 ΩR3​ = 25 ΩR5​ = 15 Ω+−V1​36 VR2​12 ΩIR2​AR4​5 ΩBR6​25 Ω

Find the current IR2 through R2.

V1 = 36 VR1 = 25 ΩR2 = 12 ΩR3 = 25 ΩR4 = 5 ΩR5 = 15 ΩR6 = 25 Ω
IR2 = A
6.Hard
R1​ = 12 ΩR3​ = 20 ΩR5​ = 3 Ω+−V1​6 VR2​12 ΩAR4​25 ΩBR6​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 12 ΩR2 = 12 ΩR3 = 20 ΩR4 = 25 ΩR5 = 3 ΩR6 = 4 Ω
Req = Ω

Answer key

  1. 1. IR1 = 0.5053 A
  2. 2. IR2 = 1.875 A
  3. 3. Req = 7.652 Ω
  4. 4. IR1 = 1.224 A
  5. 5. IR2 = 0.7629 A
  6. 6. Req = 20.16 Ω

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