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​ = 3 Ω+−V1​12 VR2​5 ΩAab

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

V1 = 12 VR1 = 3 ΩR2 = 5 Ω
IN = A
2.Easy
R1​ = 6 Ω+−V1​8 VR2​10 ΩAab

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

V1 = 8 VR1 = 6 ΩR2 = 10 Ω
Vth = V
3.Medium
R1​ = 5 ΩR3​ = 15 Ω+−V1​18 VR2​4 ΩARL​20 ΩIL​B

A load RL = 20 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 = 5 ΩR2 = 4 ΩR3 = 15 ΩRL = 20 Ω
IL = A
4.Medium
R1​ = 4 ΩR3​ = 6 Ω+−V1​6 VR2​2 ΩAab

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

V1 = 6 VR1 = 4 ΩR2 = 2 ΩR3 = 6 Ω
Rth = Ω
5.Hard
R1​ = 2 ΩR3​ = 30 Ω+−V1​10 VR2​3 ΩAIs​5 ABRL​2 ΩIL​

A load RL = 2 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 10 VIs = 5 AR1 = 2 ΩR2 = 3 ΩR3 = 30 ΩRL = 2 Ω
PL = W
6.Hard
R1​ = 4 ΩR3​ = 8 Ω+−V1​10 VR2​2 ΩAIs​4 ABRL​25 ΩIL​

A load RL = 25 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 10 VIs = 4 AR1 = 4 ΩR2 = 2 ΩR3 = 8 ΩRL = 25 Ω
IL = A

Answer key

  1. 1. IN = 4 A
  2. 2. Vth = 5 V
  3. 3. IL = 0.2149 A
  4. 4. Rth = 7.333 Ω
  5. 5. PL = 47.62 W
  6. 6. IL = 1.184 A

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