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​ = 12 Ω+−V1​10 VR3​4 ΩIR3​AR4​12 ΩBI1​I2​

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

V1 = 10 VR1 = 4 ΩR2 = 12 ΩR3 = 4 ΩR4 = 12 Ω
IR3 = A
2.Easy
R1​ = 3 ΩR2​ = 10 ΩIR2​+−V1​18 VR3​2 ΩAR4​3 ΩBI1​I2​

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

V1 = 18 VR1 = 3 ΩR2 = 10 ΩR3 = 2 ΩR4 = 3 Ω
IR2 = A
3.Medium
R1​ = 2 ΩR2​ = 20 Ω+−VR2​+−V1​10 VR3​12 ΩA+−V2​10 VI1​I2​

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

V1 = 10 VV2 = 10 VR1 = 2 ΩR2 = 20 ΩR3 = 12 Ω
VR2 = V
4.Medium
R1​ = 5 ΩR2​ = 3 Ω+−V1​6 VR3​8 ΩA+−V2​10 VI1​I2​

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

V1 = 6 VV2 = 10 VR1 = 5 ΩR2 = 3 ΩR3 = 8 Ω
I1 = A
5.Hard
R1​ = 6 ΩR2​ = 2 ΩR3​ = 15 Ω+−V1​10 VR4​30 ΩAR5​3 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 10 VV2 = 12 VR1 = 6 ΩR2 = 2 ΩR3 = 15 ΩR4 = 30 ΩR5 = 3 Ω
I3 = A
6.Hard
R1​ = 12 ΩR2​ = 8 ΩR3​ = 2 Ω+−V1​5 VR4​15 ΩAR5​2 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 5 VV2 = 12 VR1 = 12 ΩR2 = 8 ΩR3 = 2 ΩR4 = 15 ΩR5 = 2 Ω
I2 = A

Answer key

  1. 1. IR3 = 1.154 A
  2. 2. IR2 = 0.507 A
  3. 3. VR2 = −1.316 V
  4. 4. I1 = −0.1772 A
  5. 5. I3 = −0.5556 A
  6. 6. I2 = −0.2057 A

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