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​ = 5 Ω+−V1​24 VR2​12 ΩAab

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

V1 = 24 VR1 = 5 ΩR2 = 12 Ω
Vth = V
2.Easy
R1​ = 12 Ω+−V1​24 VR2​12 ΩAab

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

V1 = 24 VR1 = 12 ΩR2 = 12 Ω
Rth = Ω
3.Medium
R1​ = 8 ΩR3​ = 4 Ω+−V1​15 VR2​8 ΩAab

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

V1 = 15 VR1 = 8 ΩR2 = 8 ΩR3 = 4 Ω
IN = A
4.Medium
R1​ = 10 ΩR3​ = 4 Ω+−V1​15 VR2​6 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 = 15 VR1 = 10 ΩR2 = 6 ΩR3 = 4 ΩRL = 12 Ω
IL = A
5.Hard
R1​ = 5 ΩR3​ = 6 Ω+−V1​24 VR2​2 ΩAIs​6 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 = 24 VIs = 6 AR1 = 5 ΩR2 = 2 ΩR3 = 6 ΩRL = 2 Ω
PL = W
6.Hard
R1​ = 5 ΩR3​ = 4 Ω+−V1​15 VR2​5 ΩAIs​2 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 = 15 VIs = 2 AR1 = 5 ΩR2 = 5 ΩR3 = 4 ΩRL = 3 Ω
PL = W

Answer key

  1. 1. Vth = 16.94 V
  2. 2. Rth = 6 Ω
  3. 3. IN = 0.9375 A
  4. 4. IL = 0.2848 A
  5. 5. PL = 59.5 W
  6. 6. PL = 13.97 W

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