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​ = 2 Ω+−V1​8 VR2​3 ΩAab

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

V1 = 8 VR1 = 2 ΩR2 = 3 Ω
IN = A
2.Easy
R1​ = 6 Ω+−V1​15 VR2​5 ΩAab

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

V1 = 15 VR1 = 6 ΩR2 = 5 Ω
Rth = Ω
3.Medium
R1​ = 5 ΩR3​ = 5 Ω+−V1​9 VR2​2 ΩARL​3 ΩIL​B

A load RL = 3 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 = 5 ΩR2 = 2 ΩR3 = 5 ΩRL = 3 Ω
IL = A
4.Medium
R1​ = 2 ΩR3​ = 3 Ω+−V1​9 VR2​5 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 = 5 ΩR3 = 3 ΩRL = 20 Ω
IL = A
5.Hard
R1​ = 12 ΩR3​ = 4 Ω+−V1​9 VR2​3 ΩAIs​0.5 ABab

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

V1 = 9 VIs = 0.5 AR1 = 12 ΩR2 = 3 ΩR3 = 4 Ω
Vth = V
6.Hard
R1​ = 20 ΩR3​ = 8 Ω+−V1​30 VR2​3 ΩAIs​2 ABRL​4 ΩIL​

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 = 30 VIs = 2 AR1 = 20 ΩR2 = 3 ΩR3 = 8 ΩRL = 4 Ω
IL = A

Answer key

  1. 1. IN = 4 A
  2. 2. Rth = 2.727 Ω
  3. 3. IL = 0.2727 A
  4. 4. IL = 0.2632 A
  5. 5. Vth = 5 V
  6. 6. IL = 1.72 A

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