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​ = 5 Ω+−V1​8 VR2​10 ΩAab

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

V1 = 8 VR1 = 5 ΩR2 = 10 Ω
IN = A
2.Easy
R1​ = 10 Ω+−V1​10 VR2​3 ΩAab

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

V1 = 10 VR1 = 10 ΩR2 = 3 Ω
Vth = V
3.Medium
R1​ = 6 ΩR3​ = 4 Ω+−V1​10 VR2​15 ΩARL​2 ΩIL​B

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 = 10 VR1 = 6 ΩR2 = 15 ΩR3 = 4 ΩRL = 2 Ω
IL = A
4.Medium
R1​ = 12 ΩR3​ = 6 Ω+−V1​10 VR2​5 ΩAab

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

V1 = 10 VR1 = 12 ΩR2 = 5 ΩR3 = 6 Ω
Rth = Ω
5.Hard
R1​ = 3 ΩR3​ = 25 Ω+−V1​36 VR2​15 ΩAIs​5 ABRL​30 ΩIL​

A load RL = 30 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 36 VIs = 5 AR1 = 3 ΩR2 = 15 ΩR3 = 25 ΩRL = 30 Ω
IL = A
6.Hard
R1​ = 15 ΩR3​ = 2 Ω+−V1​9 VR2​2 ΩAIs​6 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 = 9 VIs = 6 AR1 = 15 ΩR2 = 2 ΩR3 = 2 ΩRL = 25 Ω
IL = A

Answer key

  1. 1. IN = 1.6 A
  2. 2. Vth = 2.308 V
  3. 3. IL = 0.6944 A
  4. 4. Rth = 9.529 Ω
  5. 5. IL = 2.913 A
  6. 6. IL = 0.8221 A

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