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​ = 10 Ω+−V1​6 VR2​2 ΩAab

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

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

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

V1 = 18 VR1 = 10 ΩR2 = 3 Ω
Rth = Ω
3.Medium
R1​ = 2 ΩR3​ = 12 Ω+−V1​9 VR2​5 ΩAab

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

V1 = 9 VR1 = 2 ΩR2 = 5 ΩR3 = 12 Ω
Vth = V
4.Medium
R1​ = 15 ΩR3​ = 20 Ω+−V1​12 VR2​12 ΩARL​3 ΩIL​B

A load RL = 3 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 = 15 ΩR2 = 12 ΩR3 = 20 ΩRL = 3 Ω
IL = A
5.Hard
R1​ = 3 ΩR3​ = 3 Ω+−V1​36 VR2​2 ΩAIs​0.5 ABRL​8 ΩIL​

A load RL = 8 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 = 0.5 AR1 = 3 ΩR2 = 2 ΩR3 = 3 ΩRL = 8 Ω
IL = A
6.Hard
R1​ = 25 ΩR3​ = 12 Ω+−V1​9 VR2​12 ΩAIs​3 ABRL​2 ΩIL​

A load RL = 2 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 9 VIs = 3 AR1 = 25 ΩR2 = 12 ΩR3 = 12 ΩRL = 2 Ω
PL = W

Answer key

  1. 1. IN = 0.6 A
  2. 2. Rth = 2.308 Ω
  3. 3. Vth = 6.429 V
  4. 4. IL = 0.1798 A
  5. 5. IL = 1.352 A
  6. 6. PL = 16.37 W

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