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​8 VR2​4 ΩAab

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

V1 = 8 VR1 = 6 ΩR2 = 4 Ω
IN = A
2.Easy
R1​ = 3 Ω+−V1​10 VR2​12 ΩAab

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

V1 = 10 VR1 = 3 ΩR2 = 12 Ω
Vth = V
3.Medium
R1​ = 3 ΩR3​ = 15 Ω+−V1​10 VR2​6 ΩAab

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

V1 = 10 VR1 = 3 ΩR2 = 6 ΩR3 = 15 Ω
Rth = Ω
4.Medium
R1​ = 3 ΩR3​ = 2 Ω+−V1​10 VR2​10 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 = 10 VR1 = 3 ΩR2 = 10 ΩR3 = 2 ΩRL = 3 Ω
IL = A
5.Hard
R1​ = 15 ΩR3​ = 3 Ω+−V1​10 VR2​3 ΩAIs​1.5 ABRL​25 ΩIL​

A load RL = 25 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 10 VIs = 1.5 AR1 = 15 ΩR2 = 3 ΩR3 = 3 ΩRL = 25 Ω
PL = W
6.Hard
R1​ = 25 ΩR3​ = 6 Ω+−V1​5 VR2​5 ΩAIs​4 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 = 5 VIs = 4 AR1 = 25 ΩR2 = 5 ΩR3 = 6 ΩRL = 30 Ω
PL = W

Answer key

  1. 1. IN = 1.333 A
  2. 2. Vth = 8 V
  3. 3. Rth = 17 Ω
  4. 4. IL = 1.053 A
  5. 5. PL = 2.643 W
  6. 6. PL = 32.02 W

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