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​ = 3 Ω+−V1​18 VR2​5 ΩAab

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

V1 = 18 VR1 = 3 ΩR2 = 5 Ω
Rth = Ω
2.Easy
R1​ = 10 Ω+−V1​18 VR2​8 ΩAab

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

V1 = 18 VR1 = 10 ΩR2 = 8 Ω
Vth = V
3.Medium
R1​ = 20 ΩR3​ = 4 Ω+−V1​30 VR2​4 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 = 30 VR1 = 20 ΩR2 = 4 ΩR3 = 4 ΩRL = 3 Ω
IL = A
4.Medium
R1​ = 2 ΩR3​ = 20 Ω+−V1​9 VR2​8 ΩARL​15 ΩIL​B

A load RL = 15 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 9 VR1 = 2 ΩR2 = 8 ΩR3 = 20 ΩRL = 15 Ω
IL = A
5.Hard
R1​ = 6 ΩR3​ = 20 Ω+−V1​15 VR2​10 ΩAIs​2.5 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 = 15 VIs = 2.5 AR1 = 6 ΩR2 = 10 ΩR3 = 20 ΩRL = 30 Ω
PL = W
6.Hard
R1​ = 8 ΩR3​ = 15 Ω+−V1​5 VR2​12 ΩAIs​1 ABRL​5 ΩIL​

A load RL = 5 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 5 VIs = 1 AR1 = 8 ΩR2 = 12 ΩR3 = 15 ΩRL = 5 Ω
IL = A

Answer key

  1. 1. Rth = 1.875 Ω
  2. 2. Vth = 8 V
  3. 3. IL = 0.4839 A
  4. 4. IL = 0.1967 A
  5. 5. PL = 49.08 W
  6. 6. IL = 0.9194 A

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