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​ = 8 Ω+−V1​20 VR2​12 ΩAab

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

V1 = 20 VR1 = 8 ΩR2 = 12 Ω
Rth = Ω
2.Easy
R1​ = 6 Ω+−V1​10 VR2​8 ΩAab

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

V1 = 10 VR1 = 6 ΩR2 = 8 Ω
Vth = V
3.Medium
R1​ = 3 ΩR3​ = 3 Ω+−V1​9 VR2​6 ΩAab

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

V1 = 9 VR1 = 3 ΩR2 = 6 ΩR3 = 3 Ω
IN = A
4.Medium
R1​ = 6 ΩR3​ = 10 Ω+−V1​30 VR2​10 ΩARL​4 ΩIL​B

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 VR1 = 6 ΩR2 = 10 ΩR3 = 10 ΩRL = 4 Ω
IL = A
5.Hard
R1​ = 25 ΩR3​ = 25 Ω+−V1​30 VR2​3 ΩAIs​2.5 ABRL​20 ΩIL​

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 = 30 VIs = 2.5 AR1 = 25 ΩR2 = 3 ΩR3 = 25 ΩRL = 20 Ω
IL = A
6.Hard
R1​ = 15 ΩR3​ = 5 Ω+−V1​6 VR2​30 ΩAIs​3 ABRL​2 ΩIL​

A load RL = 2 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 6 VIs = 3 AR1 = 15 ΩR2 = 30 ΩR3 = 5 ΩRL = 2 Ω
IL = A

Answer key

  1. 1. Rth = 4.8 Ω
  2. 2. Vth = 5.714 V
  3. 3. IN = 1.2 A
  4. 4. IL = 1.056 A
  5. 5. IL = 1.519 A
  6. 6. IL = 2.882 A

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