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​ = 4 ΩR2​ = 5 Ω+−V1​6 VR3​3 ΩAR4​4 ΩBI1​I2​

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

V1 = 6 VR1 = 4 ΩR2 = 5 ΩR3 = 3 ΩR4 = 4 Ω
I2 = A
2.Easy
R1​ = 3 ΩIR1​R2​ = 10 Ω+−V1​10 VR3​3 ΩAR4​6 ΩBI1​I2​

Use mesh analysis to find the current IR1 through R1 in the direction of the arrow.

V1 = 10 VR1 = 3 ΩR2 = 10 ΩR3 = 3 ΩR4 = 6 Ω
IR1 = A
3.Medium
R1​ = 2 Ω+−VR1​R2​ = 3 Ω+−V1​9 VR3​10 ΩA+−V2​24 VI1​I2​

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

V1 = 9 VV2 = 24 VR1 = 2 ΩR2 = 3 ΩR3 = 10 Ω
VR1 = V
4.Medium
R1​ = 15 ΩR2​ = 3 Ω+−V1​12 VR3​12 ΩIR3​A+−V2​10 VI1​I2​

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

V1 = 12 VV2 = 10 VR1 = 15 ΩR2 = 3 ΩR3 = 12 Ω
IR3 = A
5.Hard
R1​ = 6 ΩR2​ = 25 ΩR3​ = 25 Ω+−V1​6 VR4​15 ΩIR4​AR5​20 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 6 VV2 = 12 VR1 = 6 ΩR2 = 25 ΩR3 = 25 ΩR4 = 15 ΩR5 = 20 Ω
IR4 = A
6.Hard
R1​ = 30 ΩR2​ = 3 ΩR3​ = 10 Ω+−V1​12 VR4​25 ΩAR5​30 ΩB+−V2​10 VI1​I2​I3​

Use mesh analysis to find the mesh current I3 (clockwise).

V1 = 12 VV2 = 10 VR1 = 30 ΩR2 = 3 ΩR3 = 10 ΩR4 = 25 ΩR5 = 30 Ω
I3 = A

Answer key

  1. 1. I2 = 0.24 A
  2. 2. IR1 = 1.81 A
  3. 3. VR1 = −4.393 V
  4. 4. IR3 = 0.7126 A
  5. 5. IR4 = 0.2931 A
  6. 6. I3 = −0.3136 A

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