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​ = 6 Ω+−V1​18 VR2​4 ΩAab

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

V1 = 18 VR1 = 6 ΩR2 = 4 Ω
IN = A
2.Easy
R1​ = 4 Ω+−V1​24 VR2​6 ΩAab

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

V1 = 24 VR1 = 4 ΩR2 = 6 Ω
Vth = V
3.Medium
R1​ = 10 ΩR3​ = 2 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 = 10 ΩR2 = 2 ΩR3 = 2 ΩRL = 3 Ω
IL = A
4.Medium
R1​ = 20 ΩR3​ = 2 Ω+−V1​18 VR2​5 ΩARL​6 ΩIL​B

A load RL = 6 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 = 20 ΩR2 = 5 ΩR3 = 2 ΩRL = 6 Ω
IL = A
5.Hard
R1​ = 4 ΩR3​ = 30 Ω+−V1​18 VR2​8 ΩAIs​2 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 = 18 VIs = 2 AR1 = 4 ΩR2 = 8 ΩR3 = 30 ΩRL = 12 Ω
IL = A
6.Hard
R1​ = 5 ΩR3​ = 3 Ω+−V1​24 VR2​10 ΩAIs​3 ABRL​30 ΩIL​

A load RL = 30 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 24 VIs = 3 AR1 = 5 ΩR2 = 10 ΩR3 = 3 ΩRL = 30 Ω
PL = W

Answer key

  1. 1. IN = 3 A
  2. 2. Vth = 14.4 V
  3. 3. IL = 0.15 A
  4. 4. IL = 0.3 A
  5. 5. IL = −1.194 A
  6. 6. PL = 0.2045 W

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