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​ = 12 ΩIR1​R2​ = 2 Ω+−V1​6 VR3​12 ΩAR4​6 ΩBI1​I2​

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

V1 = 6 VR1 = 12 ΩR2 = 2 ΩR3 = 12 ΩR4 = 6 Ω
IR1 = A
2.Easy
R1​ = 12 ΩR2​ = 3 Ω+−V1​8 VR3​5 ΩIR3​AR4​5 ΩBI1​I2​

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

V1 = 8 VR1 = 12 ΩR2 = 3 ΩR3 = 5 ΩR4 = 5 Ω
IR3 = A
3.Medium
R1​ = 2 ΩR2​ = 10 ΩIR2​+−V1​18 VR3​3 ΩA+−V2​30 VI1​I2​

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

V1 = 18 VV2 = 30 VR1 = 2 ΩR2 = 10 ΩR3 = 3 Ω
IR2 = A
4.Medium
R1​ = 6 ΩR2​ = 20 Ω+−V1​9 VR3​3 ΩA+−V2​6 VI1​I2​

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

V1 = 9 VV2 = 6 VR1 = 6 ΩR2 = 20 ΩR3 = 3 Ω
I2 = A
5.Hard
R1​ = 5 ΩR2​ = 3 ΩR3​ = 2 Ω+−V1​6 VR4​5 ΩAR5​15 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 6 VV2 = 36 VR1 = 5 ΩR2 = 3 ΩR3 = 2 ΩR4 = 5 ΩR5 = 15 Ω
I3 = A
6.Hard
R1​ = 8 ΩR2​ = 10 ΩR3​ = 15 Ω+−V1​9 VR4​3 Ω+−VR4​AR5​12 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 9 VV2 = 10 VR1 = 8 ΩR2 = 10 ΩR3 = 15 ΩR4 = 3 ΩR5 = 12 Ω
VR4 = V

Answer key

  1. 1. IR1 = 0.3571 A
  2. 2. IR3 = 0.3265 A
  3. 3. IR2 = −1.714 A
  4. 4. I2 = −0.1364 A
  5. 5. I3 = −5.611 A
  6. 6. VR4 = 2.685 V

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