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​ = 12 Ω+−V1​24 VR2​4 ΩAab

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

V1 = 24 VR1 = 12 ΩR2 = 4 Ω
Vth = V
2.Easy
R1​ = 3 Ω+−V1​8 VR2​3 ΩAab

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

V1 = 8 VR1 = 3 ΩR2 = 3 Ω
IN = A
3.Medium
R1​ = 10 ΩR3​ = 5 Ω+−V1​18 VR2​3 ΩAab

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

V1 = 18 VR1 = 10 ΩR2 = 3 ΩR3 = 5 Ω
Rth = Ω
4.Medium
R1​ = 6 ΩR3​ = 6 Ω+−V1​30 VR2​3 ΩARL​4 ΩIL​B

A load RL = 4 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 30 VR1 = 6 ΩR2 = 3 ΩR3 = 6 ΩRL = 4 Ω
IL = A
5.Hard
R1​ = 8 ΩR3​ = 20 Ω+−V1​30 VR2​15 ΩAIs​1 ABRL​5 ΩIL​

A load RL = 5 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 30 VIs = 1 AR1 = 8 ΩR2 = 15 ΩR3 = 20 ΩRL = 5 Ω
PL = W
6.Hard
R1​ = 12 ΩR3​ = 25 Ω+−V1​6 VR2​15 ΩAIs​1.5 ABRL​6 ΩIL​

A load RL = 6 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 6 VIs = 1.5 AR1 = 12 ΩR2 = 15 ΩR3 = 25 ΩRL = 6 Ω
PL = W

Answer key

  1. 1. Vth = 6 V
  2. 2. IN = 2.667 A
  3. 3. Rth = 7.308 Ω
  4. 4. IL = 0.8333 A
  5. 5. PL = 10.98 W
  6. 6. PL = 10.93 W

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