Mesh analysis worksheet with answers

Free printable Mesh analysis worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
R1​ = 8 ΩR2​ = 8 Ω+−V1​10 VR3​2 ΩAR4​10 ΩBI1​I2​

Use mesh analysis to find the mesh current I2 (clockwise).

V1 = 10 VR1 = 8 ΩR2 = 8 ΩR3 = 2 ΩR4 = 10 Ω
I2 = A
2.Easy
R1​ = 3 ΩR2​ = 4 Ω+−V1​10 VR3​5 ΩAR4​5 ΩBI1​I2​

Use mesh analysis to find the mesh current I1 (clockwise).

V1 = 10 VR1 = 3 ΩR2 = 4 ΩR3 = 5 ΩR4 = 5 Ω
I1 = A
3.Medium
R1​ = 12 ΩR2​ = 5 Ω+−V1​6 VR3​6 ΩIR3​A+−V2​6 VI1​I2​

Use mesh analysis to find the current IR3 through R3 in the direction of the arrow.

V1 = 6 VV2 = 6 VR1 = 12 ΩR2 = 5 ΩR3 = 6 Ω
IR3 = A
4.Medium
R1​ = 4 ΩR2​ = 4 ΩIR2​+−V1​15 VR3​20 ΩA+−V2​15 VI1​I2​

Use mesh analysis to find the current IR2 through R2 in the direction of the arrow.

V1 = 15 VV2 = 15 VR1 = 4 ΩR2 = 4 ΩR3 = 20 Ω
IR2 = A
5.Hard
R1​ = 3 ΩR2​ = 8 ΩR3​ = 12 Ω+−V1​30 VR4​10 ΩIR4​AR5​25 ΩB+−V2​24 VI1​I2​I3​

Use mesh analysis to find the current IR4 through R4 in the direction of the arrow.

V1 = 30 VV2 = 24 VR1 = 3 ΩR2 = 8 ΩR3 = 12 ΩR4 = 10 ΩR5 = 25 Ω
IR4 = A
6.Hard
R1​ = 3 Ω+−VR1​R2​ = 12 ΩR3​ = 8 Ω+−V1​24 VR4​3 ΩAR5​4 ΩB+−V2​6 VI1​I2​I3​

Use mesh analysis to find the voltage VR1 across R1 with the polarity shown.

V1 = 24 VV2 = 6 VR1 = 3 ΩR2 = 12 ΩR3 = 8 ΩR4 = 3 ΩR5 = 4 Ω
VR1 = V

Answer key

  1. 1. I2 = 0.102 A
  2. 2. I1 = 1.609 A
  3. 3. IR3 = 0.6296 A
  4. 4. IR2 = −0.3409 A
  5. 5. IR4 = 2.222 A
  6. 6. VR1 = 12.93 V

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