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​ = 10 ΩR2​ = 10 ΩIR2​+−V1​12 VR3​5 ΩAR4​12 ΩBI1​I2​

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

V1 = 12 VR1 = 10 ΩR2 = 10 ΩR3 = 5 ΩR4 = 12 Ω
IR2 = A
2.Easy
R1​ = 2 ΩR2​ = 6 Ω+−V1​10 VR3​3 ΩAR4​5 ΩBI1​I2​

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

V1 = 10 VR1 = 2 ΩR2 = 6 ΩR3 = 3 ΩR4 = 5 Ω
I2 = A
3.Medium
R1​ = 2 ΩIR1​R2​ = 10 Ω+−V1​12 VR3​12 ΩA+−V2​12 VI1​I2​

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

V1 = 12 VV2 = 12 VR1 = 2 ΩR2 = 10 ΩR3 = 12 Ω
IR1 = A
4.Medium
R1​ = 20 ΩR2​ = 4 Ω+−V1​6 VR3​10 ΩIR3​A+−V2​24 VI1​I2​

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

V1 = 6 VV2 = 24 VR1 = 20 ΩR2 = 4 ΩR3 = 10 Ω
IR3 = A
5.Hard
R1​ = 12 ΩR2​ = 2 ΩR3​ = 30 Ω+−V1​12 VR4​15 ΩIR4​AR5​6 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 12 VV2 = 12 VR1 = 12 ΩR2 = 2 ΩR3 = 30 ΩR4 = 15 ΩR5 = 6 Ω
IR4 = A
6.Hard
R1​ = 30 ΩR2​ = 25 Ω+−VR2​R3​ = 20 Ω+−V1​9 VR4​4 ΩAR5​20 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 9 VV2 = 15 VR1 = 30 ΩR2 = 25 ΩR3 = 20 ΩR4 = 4 ΩR5 = 20 Ω
VR2 = V

Answer key

  1. 1. IR2 = 0.1579 A
  2. 2. I2 = 0.4918 A
  3. 3. IR1 = 0.7317 A
  4. 4. IR3 = 1.575 A
  5. 5. IR4 = 0.2927 A
  6. 6. VR2 = −4.179 V

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