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 ΩR2​ = 5 Ω+−V1​20 VR3​6 ΩIR3​AR4​5 ΩBI1​I2​

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

V1 = 20 VR1 = 2 ΩR2 = 5 ΩR3 = 6 ΩR4 = 5 Ω
IR3 = A
2.Easy
R1​ = 12 ΩR2​ = 4 ΩIR2​+−V1​18 VR3​6 ΩAR4​5 ΩBI1​I2​

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

V1 = 18 VR1 = 12 ΩR2 = 4 ΩR3 = 6 ΩR4 = 5 Ω
IR2 = A
3.Medium
R1​ = 10 ΩIR1​R2​ = 6 Ω+−V1​6 VR3​10 ΩA+−V2​6 VI1​I2​

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

V1 = 6 VV2 = 6 VR1 = 10 ΩR2 = 6 ΩR3 = 10 Ω
IR1 = A
4.Medium
R1​ = 4 ΩR2​ = 20 Ω+−V1​6 VR3​8 ΩA+−V2​30 VI1​I2​

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

V1 = 6 VV2 = 30 VR1 = 4 ΩR2 = 20 ΩR3 = 8 Ω
I2 = A
5.Hard
R1​ = 2 ΩR2​ = 4 ΩR3​ = 15 Ω+−VR3​+−V1​9 VR4​10 ΩAR5​6 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 9 VV2 = 12 VR1 = 2 ΩR2 = 4 ΩR3 = 15 ΩR4 = 10 ΩR5 = 6 Ω
VR3 = V
6.Hard
R1​ = 30 ΩR2​ = 6 ΩR3​ = 30 Ω+−V1​30 VR4​2 ΩAR5​30 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 30 VV2 = 12 VR1 = 30 ΩR2 = 6 ΩR3 = 30 ΩR4 = 2 ΩR5 = 30 Ω
I3 = A

Answer key

  1. 1. IR3 = 2.174 A
  2. 2. IR2 = 0.4615 A
  3. 3. IR1 = 0.1636 A
  4. 4. I2 = −1.147 A
  5. 5. VR3 = −6.818 V
  6. 6. I3 = −0.2902 A

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