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​18 VR2​4 ΩAab

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

V1 = 18 VR1 = 3 ΩR2 = 4 Ω
Vth = V
2.Easy
R1​ = 10 Ω+−V1​15 VR2​2 ΩAab

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

V1 = 15 VR1 = 10 ΩR2 = 2 Ω
IN = A
3.Medium
R1​ = 4 ΩR3​ = 12 Ω+−V1​6 VR2​2 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 = 6 VR1 = 4 ΩR2 = 2 ΩR3 = 12 ΩRL = 3 Ω
IL = A
4.Medium
R1​ = 10 ΩR3​ = 12 Ω+−V1​10 VR2​5 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 = 10 VR1 = 10 ΩR2 = 5 ΩR3 = 12 ΩRL = 20 Ω
IL = A
5.Hard
R1​ = 2 ΩR3​ = 3 Ω+−V1​5 VR2​5 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 = 5 VIs = 6 AR1 = 2 ΩR2 = 5 ΩR3 = 3 ΩRL = 25 Ω
IL = A
6.Hard
R1​ = 8 ΩR3​ = 2 Ω+−V1​18 VR2​3 ΩAIs​2.5 ABRL​4 ΩIL​

A load RL = 4 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 18 VIs = 2.5 AR1 = 8 ΩR2 = 3 ΩR3 = 2 ΩRL = 4 Ω
PL = W

Answer key

  1. 1. Vth = 10.29 V
  2. 2. IN = 1.5 A
  3. 3. IL = 0.1224 A
  4. 4. IL = 0.09434 A
  5. 5. IL = 1.024 A
  6. 6. PL = 14.1 W

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