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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1.Easy
R1​ = 2 ΩR2​ = 8 Ω+−VR2​+−V1​15 VR3​2 ΩAR4​10 ΩBI1​I2​

Use mesh analysis to find the voltage VR2 across R2 with the polarity shown.

V1 = 15 VR1 = 2 ΩR2 = 8 ΩR3 = 2 ΩR4 = 10 Ω
VR2 = V
2.Easy
R1​ = 8 ΩR2​ = 5 Ω+−V1​24 VR3​6 ΩIR3​AR4​4 ΩBI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 5 ΩR3 = 6 ΩR4 = 4 Ω
IR3 = A
3.Medium
R1​ = 12 ΩR2​ = 5 Ω+−V1​10 VR3​4 ΩA+−V2​12 VI1​I2​

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

V1 = 10 VV2 = 12 VR1 = 12 ΩR2 = 5 ΩR3 = 4 Ω
I2 = A
4.Medium
R1​ = 5 ΩR2​ = 20 ΩIR2​+−V1​15 VR3​10 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 = 5 ΩR2 = 20 ΩR3 = 10 Ω
IR2 = A
5.Hard
R1​ = 4 ΩR2​ = 2 ΩR3​ = 3 Ω+−V1​15 VR4​6 ΩAR5​12 ΩIR5​B+−V2​24 VI1​I2​I3​

Use mesh analysis to find the current IR5 through R5 in the direction of the arrow.

V1 = 15 VV2 = 24 VR1 = 4 ΩR2 = 2 ΩR3 = 3 ΩR4 = 6 ΩR5 = 12 Ω
IR5 = A
6.Hard
R1​ = 8 Ω+−VR1​R2​ = 4 ΩR3​ = 6 Ω+−V1​30 VR4​6 ΩAR5​20 ΩB+−V2​18 VI1​I2​I3​

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

V1 = 30 VV2 = 18 VR1 = 8 ΩR2 = 4 ΩR3 = 6 ΩR4 = 6 ΩR5 = 20 Ω
VR1 = V

Answer key

  1. 1. VR2 = 3.158 V
  2. 2. IR3 = 1.241 A
  3. 3. I2 = −1.188 A
  4. 4. IR2 = −0.2143 A
  5. 5. IR5 = 1.3 A
  6. 6. VR1 = 16.86 V

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