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​ = 4 ΩR2​ = 4 ΩIR2​+−V1​18 VR3​2 ΩAR4​10 ΩBI1​I2​

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

V1 = 18 VR1 = 4 ΩR2 = 4 ΩR3 = 2 ΩR4 = 10 Ω
IR2 = A
2.Easy
R1​ = 12 ΩR2​ = 6 Ω+−V1​12 VR3​12 Ω+−VR3​AR4​10 ΩBI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 12 VR1 = 12 ΩR2 = 6 ΩR3 = 12 ΩR4 = 10 Ω
VR3 = V
3.Medium
R1​ = 2 ΩR2​ = 10 Ω+−V1​30 VR3​6 ΩA+−V2​18 VI1​I2​

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

V1 = 30 VV2 = 18 VR1 = 2 ΩR2 = 10 ΩR3 = 6 Ω
I2 = A
4.Medium
R1​ = 15 ΩIR1​R2​ = 2 Ω+−V1​12 VR3​12 ΩA+−V2​18 VI1​I2​

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

V1 = 12 VV2 = 18 VR1 = 15 ΩR2 = 2 ΩR3 = 12 Ω
IR1 = A
5.Hard
R1​ = 12 ΩR2​ = 8 ΩR3​ = 5 ΩIR3​+−V1​24 VR4​6 ΩAR5​5 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 24 VV2 = 5 VR1 = 12 ΩR2 = 8 ΩR3 = 5 ΩR4 = 6 ΩR5 = 5 Ω
IR3 = A
6.Hard
R1​ = 25 ΩR2​ = 25 ΩR3​ = 25 Ω+−V1​15 VR4​10 ΩAR5​30 Ω+−VR5​B+−V2​18 VI1​I2​I3​

Use mesh analysis to find the voltage VR5 across R5 with the polarity shown.

V1 = 15 VV2 = 18 VR1 = 25 ΩR2 = 25 ΩR3 = 25 ΩR4 = 10 ΩR5 = 30 Ω
VR5 = V

Answer key

  1. 1. IR2 = 0.3913 A
  2. 2. VR3 = 4.364 V
  3. 3. I2 = 0.3913 A
  4. 4. IR1 = −0.2051 A
  5. 5. IR3 = −0.3103 A
  6. 6. VR5 = 8.17 V

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