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​10 VR2​12 ΩAab

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

V1 = 10 VR1 = 8 ΩR2 = 12 Ω
Vth = V
2.Easy
R1​ = 4 Ω+−V1​8 VR2​6 ΩAab

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

V1 = 8 VR1 = 4 ΩR2 = 6 Ω
Rth = Ω
3.Medium
R1​ = 2 ΩR3​ = 2 Ω+−V1​6 VR2​3 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 = 6 VR1 = 2 ΩR2 = 3 ΩR3 = 2 ΩRL = 3 Ω
IL = A
4.Medium
R1​ = 15 ΩR3​ = 2 Ω+−V1​15 VR2​2 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 = 15 VR1 = 15 ΩR2 = 2 ΩR3 = 2 ΩRL = 4 Ω
IL = A
5.Hard
R1​ = 10 ΩR3​ = 4 Ω+−V1​10 VR2​2 ΩAIs​2 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 = 10 VIs = 2 AR1 = 10 ΩR2 = 2 ΩR3 = 4 ΩRL = 10 Ω
IL = A
6.Hard
R1​ = 20 ΩR3​ = 12 Ω+−V1​18 VR2​20 ΩAIs​4 ABab

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

V1 = 18 VIs = 4 AR1 = 20 ΩR2 = 20 ΩR3 = 12 Ω
IN = A

Answer key

  1. 1. Vth = 6 V
  2. 2. Rth = 2.4 Ω
  3. 3. IL = 0.5806 A
  4. 4. IL = 0.2273 A
  5. 5. IL = 0.8298 A
  6. 6. IN = 4.409 A

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