Thévenin & Norton worksheet with answers

Free printable Thévenin & Norton 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​ = 6 Ω+−V1​24 VR2​2 ΩAab

Find the Norton current IN: the current that flows from a to b if the terminals are shorted.

V1 = 24 VR1 = 6 ΩR2 = 2 Ω
IN = A
2.Easy
R1​ = 3 Ω+−V1​15 VR2​8 ΩAab

Find the Thévenin voltage Vth seen from terminals a–b.

V1 = 15 VR1 = 3 ΩR2 = 8 Ω
Vth = V
3.Medium
R1​ = 2 ΩR3​ = 20 Ω+−V1​10 VR2​15 ΩARL​5 ΩIL​B

A load RL = 5 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 10 VR1 = 2 ΩR2 = 15 ΩR3 = 20 ΩRL = 5 Ω
IL = A
4.Medium
R1​ = 8 ΩR3​ = 15 Ω+−V1​15 VR2​5 ΩARL​10 ΩIL​B

A load RL = 10 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 15 VR1 = 8 ΩR2 = 5 ΩR3 = 15 ΩRL = 10 Ω
IL = A
5.Hard
R1​ = 6 ΩR3​ = 4 Ω+−V1​24 VR2​20 ΩAIs​2 ABRL​3 ΩIL​

A load RL = 3 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 24 VIs = 2 AR1 = 6 ΩR2 = 20 ΩR3 = 4 ΩRL = 3 Ω
IL = A
6.Hard
R1​ = 25 ΩR3​ = 12 Ω+−V1​6 VR2​25 ΩAIs​1.5 ABRL​10 ΩIL​

A load RL = 10 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 6 VIs = 1.5 AR1 = 25 ΩR2 = 25 ΩR3 = 12 ΩRL = 10 Ω
PL = W

Answer key

  1. 1. IN = 4 A
  2. 2. Vth = 10.91 V
  3. 3. IL = 0.3297 A
  4. 4. IL = 0.2055 A
  5. 5. IL = 3.073 A
  6. 6. PL = 13.28 W

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