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​ = 6 ΩR2​ = 2 Ω+−V1​15 VR3​10 ΩAR4​2 ΩIR4​BI1​I2​

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

V1 = 15 VR1 = 6 ΩR2 = 2 ΩR3 = 10 ΩR4 = 2 Ω
IR4 = A
2.Easy
R1​ = 2 ΩR2​ = 12 Ω+−V1​15 VR3​2 ΩAR4​8 ΩBI1​I2​

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

V1 = 15 VR1 = 2 ΩR2 = 12 ΩR3 = 2 ΩR4 = 8 Ω
I2 = A
3.Medium
R1​ = 12 ΩR2​ = 4 Ω+−V1​12 VR3​6 ΩIR3​A+−V2​18 VI1​I2​

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

V1 = 12 VV2 = 18 VR1 = 12 ΩR2 = 4 ΩR3 = 6 Ω
IR3 = A
4.Medium
R1​ = 8 Ω+−VR1​R2​ = 10 Ω+−V1​12 VR3​4 ΩA+−V2​12 VI1​I2​

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

V1 = 12 VV2 = 12 VR1 = 8 ΩR2 = 10 ΩR3 = 4 Ω
VR1 = V
5.Hard
R1​ = 2 ΩR2​ = 12 ΩR3​ = 2 Ω+−V1​15 VR4​2 ΩAR5​10 ΩB+−V2​12 VI1​I2​I3​

Use mesh analysis to find the mesh current I3 (clockwise).

V1 = 15 VV2 = 12 VR1 = 2 ΩR2 = 12 ΩR3 = 2 ΩR4 = 2 ΩR5 = 10 Ω
I3 = A
6.Hard
R1​ = 2 ΩR2​ = 2 ΩR3​ = 15 Ω+−V1​10 VR4​8 ΩAR5​2 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 10 VV2 = 10 VR1 = 2 ΩR2 = 2 ΩR3 = 15 ΩR4 = 8 ΩR5 = 2 Ω
I1 = A

Answer key

  1. 1. IR4 = 1.21 A
  2. 2. I2 = 0.3571 A
  3. 3. IR3 = 1.833 A
  4. 4. VR1 = 6.316 V
  5. 5. I3 = −1.142 A
  6. 6. I1 = 2.018 A

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