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​ = 2 Ω+−V1​8 VR2​12 ΩAab

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

V1 = 8 VR1 = 2 ΩR2 = 12 Ω
Rth = Ω
2.Easy
R1​ = 8 Ω+−V1​15 VR2​5 ΩAab

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

V1 = 15 VR1 = 8 ΩR2 = 5 Ω
Vth = V
3.Medium
R1​ = 15 ΩR3​ = 4 Ω+−V1​15 VR2​15 ΩAab

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

V1 = 15 VR1 = 15 ΩR2 = 15 ΩR3 = 4 Ω
IN = A
4.Medium
R1​ = 2 ΩR3​ = 20 Ω+−V1​12 VR2​8 ΩARL​20 ΩIL​B

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 = 12 VR1 = 2 ΩR2 = 8 ΩR3 = 20 ΩRL = 20 Ω
IL = A
5.Hard
R1​ = 12 ΩR3​ = 6 Ω+−V1​12 VR2​12 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 = 12 VIs = 6 AR1 = 12 ΩR2 = 12 ΩR3 = 6 ΩRL = 25 Ω
IL = A
6.Hard
R1​ = 4 ΩR3​ = 20 Ω+−V1​15 VR2​5 ΩAIs​6 ABRL​25 ΩIL​

A load RL = 25 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 15 VIs = 6 AR1 = 4 ΩR2 = 5 ΩR3 = 20 ΩRL = 25 Ω
PL = W

Answer key

  1. 1. Rth = 1.714 Ω
  2. 2. Vth = 5.769 V
  3. 3. IN = 0.6522 A
  4. 4. IL = 0.2308 A
  5. 5. IL = −1.784 A
  6. 6. PL = 225 W

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