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​ = 12 Ω+−V1​12 VR2​6 ΩAab

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

V1 = 12 VR1 = 12 ΩR2 = 6 Ω
Rth = Ω
2.Easy
R1​ = 10 Ω+−V1​24 VR2​2 ΩAab

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

V1 = 24 VR1 = 10 ΩR2 = 2 Ω
Vth = V
3.Medium
R1​ = 2 ΩR3​ = 20 Ω+−V1​12 VR2​6 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 = 12 VR1 = 2 ΩR2 = 6 ΩR3 = 20 ΩRL = 10 Ω
IL = A
4.Medium
R1​ = 12 ΩR3​ = 3 Ω+−V1​12 VR2​4 ΩAab

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

V1 = 12 VR1 = 12 ΩR2 = 4 ΩR3 = 3 Ω
IN = A
5.Hard
R1​ = 5 ΩR3​ = 8 Ω+−V1​6 VR2​5 ΩAIs​1.5 ABRL​12 ΩIL​

A load RL = 12 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 = 5 ΩR2 = 5 ΩR3 = 8 ΩRL = 12 Ω
PL = W
6.Hard
R1​ = 2 ΩR3​ = 4 Ω+−V1​24 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 = 24 VIs = 4 AR1 = 2 ΩR2 = 2 ΩR3 = 4 ΩRL = 25 Ω
IL = A

Answer key

  1. 1. Rth = 4 Ω
  2. 2. Vth = 4 V
  3. 3. IL = 0.2857 A
  4. 4. IN = 0.5 A
  5. 5. PL = 3.853 W
  6. 6. IL = −0.2667 A

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