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​15 VR2​2 ΩAab

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

V1 = 15 VR1 = 10 ΩR2 = 2 Ω
Vth = V
2.Easy
R1​ = 6 Ω+−V1​18 VR2​2 ΩAab

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

V1 = 18 VR1 = 6 ΩR2 = 2 Ω
Rth = Ω
3.Medium
R1​ = 3 ΩR3​ = 6 Ω+−V1​9 VR2​8 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 = 9 VR1 = 3 ΩR2 = 8 ΩR3 = 6 ΩRL = 6 Ω
IL = A
4.Medium
R1​ = 3 ΩR3​ = 8 Ω+−V1​18 VR2​8 ΩARL​4 ΩIL​B

A load RL = 4 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 18 VR1 = 3 ΩR2 = 8 ΩR3 = 8 ΩRL = 4 Ω
IL = A
5.Hard
R1​ = 3 ΩR3​ = 8 Ω+−V1​36 VR2​10 ΩAIs​3 ABab

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

V1 = 36 VIs = 3 AR1 = 3 ΩR2 = 10 ΩR3 = 8 Ω
IN = A
6.Hard
R1​ = 2 ΩR3​ = 4 Ω+−V1​24 VR2​2 ΩAIs​5 ABRL​10 ΩIL​

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 = 24 VIs = 5 AR1 = 2 ΩR2 = 2 ΩR3 = 4 ΩRL = 10 Ω
IL = A

Answer key

  1. 1. Vth = 2.5 V
  2. 2. Rth = 1.5 Ω
  3. 3. IL = 0.4615 A
  4. 4. IL = 0.9231 A
  5. 5. IN = 5.687 A
  6. 6. IL = −0.8667 A

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