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​ = 3 Ω+−V1​15 VR2​3 ΩAab

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

V1 = 15 VR1 = 3 ΩR2 = 3 Ω
IN = A
2.Easy
R1​ = 6 Ω+−V1​18 VR2​10 ΩAab

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

V1 = 18 VR1 = 6 ΩR2 = 10 Ω
Rth = Ω
3.Medium
R1​ = 3 ΩR3​ = 3 Ω+−V1​18 VR2​5 ΩAab

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

V1 = 18 VR1 = 3 ΩR2 = 5 ΩR3 = 3 Ω
Vth = V
4.Medium
R1​ = 10 ΩR3​ = 8 Ω+−V1​15 VR2​8 ΩARL​5 ΩIL​B

A load RL = 5 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 = 10 ΩR2 = 8 ΩR3 = 8 ΩRL = 5 Ω
IL = A
5.Hard
R1​ = 30 ΩR3​ = 20 Ω+−V1​5 VR2​25 ΩAIs​3 ABRL​20 ΩIL​

A load RL = 20 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 5 VIs = 3 AR1 = 30 ΩR2 = 25 ΩR3 = 20 ΩRL = 20 Ω
PL = W
6.Hard
R1​ = 8 ΩR3​ = 2 Ω+−V1​9 VR2​8 ΩAIs​1.5 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 = 9 VIs = 1.5 AR1 = 8 ΩR2 = 8 ΩR3 = 2 ΩRL = 12 Ω
IL = A

Answer key

  1. 1. IN = 5 A
  2. 2. Rth = 3.75 Ω
  3. 3. Vth = 11.25 V
  4. 4. IL = 0.3822 A
  5. 5. PL = 67.64 W
  6. 6. IL = 0.75 A

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