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​ = 6 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 = 6 ΩR2 = 5 Ω
IN = A
2.Easy
R1​ = 12 Ω+−V1​15 VR2​6 ΩAab

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

V1 = 15 VR1 = 12 ΩR2 = 6 Ω
Rth = Ω
3.Medium
R1​ = 8 ΩR3​ = 6 Ω+−V1​18 VR2​2 ΩAab

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

V1 = 18 VR1 = 8 ΩR2 = 2 ΩR3 = 6 Ω
Vth = V
4.Medium
R1​ = 8 ΩR3​ = 12 Ω+−V1​9 VR2​12 ΩARL​12 ΩIL​B

A load RL = 12 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 = 8 ΩR2 = 12 ΩR3 = 12 ΩRL = 12 Ω
IL = A
5.Hard
R1​ = 10 ΩR3​ = 6 Ω+−V1​9 VR2​3 ΩAIs​6 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 = 9 VIs = 6 AR1 = 10 ΩR2 = 3 ΩR3 = 6 ΩRL = 10 Ω
IL = A
6.Hard
R1​ = 15 ΩR3​ = 30 Ω+−V1​10 VR2​2 ΩAIs​1.5 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 = 1.5 AR1 = 15 ΩR2 = 2 ΩR3 = 30 ΩRL = 25 Ω
IL = A

Answer key

  1. 1. IN = 2 A
  2. 2. Rth = 4 Ω
  3. 3. Vth = 3.6 V
  4. 4. IL = 0.1875 A
  5. 5. IL = −2.609 A
  6. 6. IL = 0.8601 A

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