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​18 VR2​8 ΩAab

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

V1 = 18 VR1 = 8 ΩR2 = 8 Ω
IN = A
2.Easy
R1​ = 12 Ω+−V1​24 VR2​3 ΩAab

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

V1 = 24 VR1 = 12 ΩR2 = 3 Ω
Rth = Ω
3.Medium
R1​ = 4 ΩR3​ = 10 Ω+−V1​18 VR2​20 ΩARL​12 ΩIL​B

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 = 18 VR1 = 4 ΩR2 = 20 ΩR3 = 10 ΩRL = 12 Ω
IL = A
4.Medium
R1​ = 4 ΩR3​ = 10 Ω+−V1​12 VR2​6 ΩAab

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

V1 = 12 VR1 = 4 ΩR2 = 6 ΩR3 = 10 Ω
Vth = V
5.Hard
R1​ = 5 ΩR3​ = 5 Ω+−V1​12 VR2​5 ΩAIs​6 ABRL​3 ΩIL​

A load RL = 3 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 12 VIs = 6 AR1 = 5 ΩR2 = 5 ΩR3 = 5 ΩRL = 3 Ω
PL = W
6.Hard
R1​ = 30 ΩR3​ = 4 Ω+−V1​30 VR2​4 ΩAIs​0.5 ABRL​10 ΩIL​

A load RL = 10 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 30 VIs = 0.5 AR1 = 30 ΩR2 = 4 ΩR3 = 4 ΩRL = 10 Ω
PL = W

Answer key

  1. 1. IN = 2.25 A
  2. 2. Rth = 2.4 Ω
  3. 3. IL = 0.5921 A
  4. 4. Vth = 7.2 V
  5. 5. PL = 41.39 W
  6. 6. PL = 1.731 W

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