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​ = 5 Ω+−V1​10 VR2​4 ΩAab

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

V1 = 10 VR1 = 5 ΩR2 = 4 Ω
IN = A
2.Easy
R1​ = 2 Ω+−V1​15 VR2​8 ΩAab

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

V1 = 15 VR1 = 2 ΩR2 = 8 Ω
Vth = V
3.Medium
R1​ = 12 ΩR3​ = 20 Ω+−V1​10 VR2​10 ΩAab

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

V1 = 10 VR1 = 12 ΩR2 = 10 ΩR3 = 20 Ω
Rth = Ω
4.Medium
R1​ = 3 ΩR3​ = 3 Ω+−V1​9 VR2​20 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 = 9 VR1 = 3 ΩR2 = 20 ΩR3 = 3 ΩRL = 5 Ω
IL = A
5.Hard
R1​ = 15 ΩR3​ = 2 Ω+−V1​5 VR2​25 ΩAIs​0.5 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 = 5 VIs = 0.5 AR1 = 15 ΩR2 = 25 ΩR3 = 2 ΩRL = 2 Ω
IL = A
6.Hard
R1​ = 5 ΩR3​ = 10 Ω+−V1​6 VR2​5 ΩAIs​2 ABRL​12 ΩIL​

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 = 6 VIs = 2 AR1 = 5 ΩR2 = 5 ΩR3 = 10 ΩRL = 12 Ω
IL = A

Answer key

  1. 1. IN = 2 A
  2. 2. Vth = 12 V
  3. 3. Rth = 25.45 Ω
  4. 4. IL = 0.7377 A
  5. 5. IL = 0.6589 A
  6. 6. IL = 1.143 A

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