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​ = 5 ΩR2​ = 5 Ω+−V1​18 VR3​6 ΩIR3​AR4​4 ΩBI1​I2​

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

V1 = 18 VR1 = 5 ΩR2 = 5 ΩR3 = 6 ΩR4 = 4 Ω
IR3 = A
2.Easy
R1​ = 8 ΩIR1​R2​ = 6 Ω+−V1​24 VR3​6 ΩAR4​2 ΩBI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 6 ΩR3 = 6 ΩR4 = 2 Ω
IR1 = A
3.Medium
R1​ = 15 Ω+−VR1​R2​ = 6 Ω+−V1​10 VR3​3 ΩA+−V2​9 VI1​I2​

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

V1 = 10 VV2 = 9 VR1 = 15 ΩR2 = 6 ΩR3 = 3 Ω
VR1 = V
4.Medium
R1​ = 10 ΩR2​ = 12 Ω+−V1​18 VR3​5 ΩA+−V2​18 VI1​I2​

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

V1 = 18 VV2 = 18 VR1 = 10 ΩR2 = 12 ΩR3 = 5 Ω
I1 = A
5.Hard
R1​ = 2 ΩR2​ = 5 ΩR3​ = 25 Ω+−V1​36 VR4​12 ΩAR5​20 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 36 VV2 = 24 VR1 = 2 ΩR2 = 5 ΩR3 = 25 ΩR4 = 12 ΩR5 = 20 Ω
I2 = A
6.Hard
R1​ = 2 ΩR2​ = 20 ΩIR2​R3​ = 20 Ω+−V1​24 VR4​2 ΩAR5​15 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 24 VV2 = 24 VR1 = 2 ΩR2 = 20 ΩR3 = 20 ΩR4 = 2 ΩR5 = 15 Ω
IR2 = A

Answer key

  1. 1. IR3 = 1.256 A
  2. 2. IR1 = 2.1 A
  3. 3. VR1 = 6.176 V
  4. 4. I1 = 0.9391 A
  5. 5. I2 = 1.133 A
  6. 6. IR2 = 0.05797 A

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