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​ = 10 Ω+−V1​10 VR2​4 ΩAab

Find the Thévenin resistance Rth seen from terminals a–b.

V1 = 10 VR1 = 10 ΩR2 = 4 Ω
Rth = Ω
2.Easy
R1​ = 4 Ω+−V1​24 VR2​4 ΩAab

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

V1 = 24 VR1 = 4 ΩR2 = 4 Ω
IN = A
3.Medium
R1​ = 8 ΩR3​ = 10 Ω+−V1​24 VR2​2 ΩARL​12 ΩIL​B

A load RL = 12 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 24 VR1 = 8 ΩR2 = 2 ΩR3 = 10 ΩRL = 12 Ω
IL = A
4.Medium
R1​ = 15 ΩR3​ = 2 Ω+−V1​24 VR2​15 ΩARL​6 ΩIL​B

A load RL = 6 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 24 VR1 = 15 ΩR2 = 15 ΩR3 = 2 ΩRL = 6 Ω
IL = A
5.Hard
R1​ = 25 ΩR3​ = 12 Ω+−V1​36 VR2​12 ΩAIs​1 ABRL​2 ΩIL​

A load RL = 2 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 36 VIs = 1 AR1 = 25 ΩR2 = 12 ΩR3 = 12 ΩRL = 2 Ω
IL = A
6.Hard
R1​ = 2 ΩR3​ = 30 Ω+−V1​6 VR2​2 ΩAIs​1 ABRL​5 ΩIL​

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 = 6 VIs = 1 AR1 = 2 ΩR2 = 2 ΩR3 = 30 ΩRL = 5 Ω
IL = A

Answer key

  1. 1. Rth = 2.857 Ω
  2. 2. IN = 6 A
  3. 3. IL = 0.2034 A
  4. 4. IL = 0.7742 A
  5. 5. IL = 1.438 A
  6. 6. IL = 0.9444 A

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