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 Ω+−VR1​R2​ = 8 Ω+−V1​24 VR3​12 ΩAR4​3 ΩBI1​I2​

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

V1 = 24 VR1 = 2 ΩR2 = 8 ΩR3 = 12 ΩR4 = 3 Ω
VR1 = V
2.Easy
R1​ = 6 ΩR2​ = 2 Ω+−V1​15 VR3​3 ΩAR4​8 Ω+−VR4​BI1​I2​

Use mesh analysis to find the voltage VR4 across R4 with the polarity shown.

V1 = 15 VR1 = 6 ΩR2 = 2 ΩR3 = 3 ΩR4 = 8 Ω
VR4 = V
3.Medium
R1​ = 15 ΩR2​ = 3 Ω+−V1​15 VR3​5 ΩA+−V2​12 VI1​I2​

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

V1 = 15 VV2 = 12 VR1 = 15 ΩR2 = 3 ΩR3 = 5 Ω
I2 = A
4.Medium
R1​ = 5 ΩR2​ = 12 Ω+−V1​12 VR3​4 ΩA+−V2​24 VI1​I2​

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

V1 = 12 VV2 = 24 VR1 = 5 ΩR2 = 12 ΩR3 = 4 Ω
I1 = A
5.Hard
R1​ = 6 ΩR2​ = 8 ΩIR2​R3​ = 8 Ω+−V1​18 VR4​12 ΩAR5​2 ΩB+−V2​18 VI1​I2​I3​

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

V1 = 18 VV2 = 18 VR1 = 6 ΩR2 = 8 ΩR3 = 8 ΩR4 = 12 ΩR5 = 2 Ω
IR2 = A
6.Hard
R1​ = 20 ΩR2​ = 30 ΩR3​ = 25 Ω+−V1​24 VR4​3 ΩAR5​5 ΩIR5​B+−V2​36 VI1​I2​I3​

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

V1 = 24 VV2 = 36 VR1 = 20 ΩR2 = 30 ΩR3 = 25 ΩR4 = 3 ΩR5 = 5 Ω
IR5 = A

Answer key

  1. 1. VR1 = 6.202 V
  2. 2. VR4 = 3.333 V
  3. 3. I2 = −1.222 A
  4. 4. I1 = 0.75 A
  5. 5. IR2 = 0.6176 A
  6. 6. IR5 = 1.135 A

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