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 ΩR2​ = 5 ΩIR2​+−V1​24 VR3​12 ΩAR4​6 ΩBI1​I2​

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

V1 = 24 VR1 = 12 ΩR2 = 5 ΩR3 = 12 ΩR4 = 6 Ω
IR2 = A
2.Easy
R1​ = 10 ΩR2​ = 4 Ω+−V1​15 VR3​10 ΩAR4​12 ΩIR4​BI1​I2​

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

V1 = 15 VR1 = 10 ΩR2 = 4 ΩR3 = 10 ΩR4 = 12 Ω
IR4 = A
3.Medium
R1​ = 10 ΩR2​ = 15 Ω+−V1​24 VR3​15 Ω+−VR3​A+−V2​15 VI1​I2​

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

V1 = 24 VV2 = 15 VR1 = 10 ΩR2 = 15 ΩR3 = 15 Ω
VR3 = V
4.Medium
R1​ = 20 ΩR2​ = 12 Ω+−V1​18 VR3​2 ΩA+−V2​15 VI1​I2​

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

V1 = 18 VV2 = 15 VR1 = 20 ΩR2 = 12 ΩR3 = 2 Ω
I2 = A
5.Hard
R1​ = 4 ΩR2​ = 6 ΩR3​ = 25 Ω+−V1​18 VR4​5 ΩAR5​4 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 18 VV2 = 24 VR1 = 4 ΩR2 = 6 ΩR3 = 25 ΩR4 = 5 ΩR5 = 4 Ω
I1 = A
6.Hard
R1​ = 10 ΩR2​ = 3 ΩR3​ = 4 Ω+−V1​30 VR4​4 ΩAR5​10 Ω+−VR5​B+−V2​10 VI1​I2​I3​

Use mesh analysis to find the voltage VR5 across R5 with the polarity shown.

V1 = 30 VV2 = 10 VR1 = 10 ΩR2 = 3 ΩR3 = 4 ΩR4 = 4 ΩR5 = 10 Ω
VR5 = V

Answer key

  1. 1. IR2 = 0.7059 A
  2. 2. IR4 = 0.3571 A
  3. 3. VR3 = 14.57 V
  4. 4. I2 = −0.9671 A
  5. 5. I1 = 2.318 A
  6. 6. VR5 = 7.611 V

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