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​8 VR2​12 ΩAab

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

V1 = 8 VR1 = 5 ΩR2 = 12 Ω
Rth = Ω
2.Easy
R1​ = 10 Ω+−V1​6 VR2​10 ΩAab

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

V1 = 6 VR1 = 10 ΩR2 = 10 Ω
Vth = V
3.Medium
R1​ = 12 ΩR3​ = 5 Ω+−V1​12 VR2​10 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 = 12 VR1 = 12 ΩR2 = 10 ΩR3 = 5 ΩRL = 6 Ω
IL = A
4.Medium
R1​ = 6 ΩR3​ = 6 Ω+−V1​24 VR2​5 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 = 24 VR1 = 6 ΩR2 = 5 ΩR3 = 6 ΩRL = 3 Ω
IL = A
5.Hard
R1​ = 2 ΩR3​ = 15 Ω+−V1​10 VR2​30 ΩAIs​4 ABRL​8 ΩIL​

A load RL = 8 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 10 VIs = 4 AR1 = 2 ΩR2 = 30 ΩR3 = 15 ΩRL = 8 Ω
PL = W
6.Hard
R1​ = 20 ΩR3​ = 20 Ω+−V1​6 VR2​4 ΩAIs​1 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 = 6 VIs = 1 AR1 = 20 ΩR2 = 4 ΩR3 = 20 ΩRL = 4 Ω
PL = W

Answer key

  1. 1. Rth = 3.529 Ω
  2. 2. Vth = 3 V
  3. 3. IL = 0.3315 A
  4. 4. IL = 0.9302 A
  5. 5. PL = 76.41 W
  6. 6. PL = 3.17 W

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