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​6 VR2​10 ΩAab

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

V1 = 6 VR1 = 12 ΩR2 = 10 Ω
Vth = V
2.Easy
R1​ = 10 Ω+−V1​8 VR2​8 ΩAab

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

V1 = 8 VR1 = 10 ΩR2 = 8 Ω
IN = A
3.Medium
R1​ = 3 ΩR3​ = 20 Ω+−V1​12 VR2​6 ΩAab

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

V1 = 12 VR1 = 3 ΩR2 = 6 ΩR3 = 20 Ω
Rth = Ω
4.Medium
R1​ = 2 ΩR3​ = 3 Ω+−V1​9 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 = 9 VR1 = 2 ΩR2 = 4 ΩR3 = 3 ΩRL = 20 Ω
IL = A
5.Hard
R1​ = 12 ΩR3​ = 4 Ω+−V1​24 VR2​25 ΩAIs​6 ABRL​20 ΩIL​

A load RL = 20 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 24 VIs = 6 AR1 = 12 ΩR2 = 25 ΩR3 = 4 ΩRL = 20 Ω
PL = W
6.Hard
R1​ = 8 ΩR3​ = 12 Ω+−V1​10 VR2​25 ΩAIs​2 ABRL​6 ΩIL​

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 = 10 VIs = 2 AR1 = 8 ΩR2 = 25 ΩR3 = 12 ΩRL = 6 Ω
IL = A

Answer key

  1. 1. Vth = 2.727 V
  2. 2. IN = 0.8 A
  3. 3. Rth = 22 Ω
  4. 4. IL = 0.2466 A
  5. 5. PL = 153.2 W
  6. 6. IL = 1.816 A

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