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​24 VR2​6 ΩAab

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

V1 = 24 VR1 = 8 ΩR2 = 6 Ω
Vth = V
2.Easy
R1​ = 5 Ω+−V1​18 VR2​12 ΩAab

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

V1 = 18 VR1 = 5 ΩR2 = 12 Ω
IN = A
3.Medium
R1​ = 3 ΩR3​ = 15 Ω+−V1​30 VR2​20 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 = 3 ΩR2 = 20 ΩR3 = 15 ΩRL = 4 Ω
IL = A
4.Medium
R1​ = 6 ΩR3​ = 8 Ω+−V1​30 VR2​8 ΩARL​10 ΩIL​B

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 = 30 VR1 = 6 ΩR2 = 8 ΩR3 = 8 ΩRL = 10 Ω
IL = A
5.Hard
R1​ = 4 ΩR3​ = 10 Ω+−V1​5 VR2​15 ΩAIs​4 ABRL​12 ΩIL​

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 = 5 VIs = 4 AR1 = 4 ΩR2 = 15 ΩR3 = 10 ΩRL = 12 Ω
IL = A
6.Hard
R1​ = 12 ΩR3​ = 2 Ω+−V1​18 VR2​3 ΩAIs​5 ABRL​15 ΩIL​

A load RL = 15 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 18 VIs = 5 AR1 = 12 ΩR2 = 3 ΩR3 = 2 ΩRL = 15 Ω
IL = A

Answer key

  1. 1. Vth = 10.29 V
  2. 2. IN = 3.6 A
  3. 3. IL = 1.207 A
  4. 4. IL = 0.8 A
  5. 5. IL = 2.249 A
  6. 6. IL = 1.32 A

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