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​ = 8 ΩR2​ = 5 ΩIR2​+−V1​8 VR3​5 ΩAR4​5 ΩBI1​I2​

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

V1 = 8 VR1 = 8 ΩR2 = 5 ΩR3 = 5 ΩR4 = 5 Ω
IR2 = A
2.Easy
R1​ = 8 ΩR2​ = 5 Ω+−V1​15 VR3​12 ΩAR4​6 ΩBI1​I2​

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

V1 = 15 VR1 = 8 ΩR2 = 5 ΩR3 = 12 ΩR4 = 6 Ω
I1 = A
3.Medium
R1​ = 5 ΩR2​ = 15 Ω+−VR2​+−V1​24 VR3​15 ΩA+−V2​30 VI1​I2​

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

V1 = 24 VV2 = 30 VR1 = 5 ΩR2 = 15 ΩR3 = 15 Ω
VR2 = V
4.Medium
R1​ = 5 ΩR2​ = 3 Ω+−V1​12 VR3​3 Ω+−VR3​A+−V2​18 VI1​I2​

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

V1 = 12 VV2 = 18 VR1 = 5 ΩR2 = 3 ΩR3 = 3 Ω
VR3 = V
5.Hard
R1​ = 25 ΩR2​ = 5 ΩR3​ = 25 Ω+−V1​5 VR4​4 ΩAR5​15 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 5 VV2 = 12 VR1 = 25 ΩR2 = 5 ΩR3 = 25 ΩR4 = 4 ΩR5 = 15 Ω
I3 = A
6.Hard
R1​ = 8 ΩR2​ = 15 ΩR3​ = 30 ΩIR3​+−V1​18 VR4​8 ΩAR5​10 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 18 VV2 = 15 VR1 = 8 ΩR2 = 15 ΩR3 = 30 ΩR4 = 8 ΩR5 = 10 Ω
IR3 = A

Answer key

  1. 1. IR2 = 0.2353 A
  2. 2. I1 = 1.092 A
  3. 3. VR2 = −9.6 V
  4. 4. VR3 = 9.692 V
  5. 5. I3 = −0.3802 A
  6. 6. IR3 = −0.3255 A

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