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​ = 3 ΩR2​ = 5 Ω+−V1​18 VR3​12 ΩAR4​12 ΩBI1​I2​

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

V1 = 18 VR1 = 3 ΩR2 = 5 ΩR3 = 12 ΩR4 = 12 Ω
I1 = A
2.Easy
R1​ = 3 ΩR2​ = 6 Ω+−V1​20 VR3​10 ΩAR4​10 ΩIR4​BI1​I2​

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

V1 = 20 VR1 = 3 ΩR2 = 6 ΩR3 = 10 ΩR4 = 10 Ω
IR4 = A
3.Medium
R1​ = 3 ΩR2​ = 2 Ω+−V1​10 VR3​4 Ω+−VR3​A+−V2​24 VI1​I2​

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

V1 = 10 VV2 = 24 VR1 = 3 ΩR2 = 2 ΩR3 = 4 Ω
VR3 = V
4.Medium
R1​ = 15 ΩR2​ = 8 ΩIR2​+−V1​18 VR3​3 ΩA+−V2​6 VI1​I2​

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

V1 = 18 VV2 = 6 VR1 = 15 ΩR2 = 8 ΩR3 = 3 Ω
IR2 = A
5.Hard
R1​ = 6 ΩR2​ = 10 ΩR3​ = 2 ΩIR3​+−V1​9 VR4​15 ΩAR5​2 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 9 VV2 = 36 VR1 = 6 ΩR2 = 10 ΩR3 = 2 ΩR4 = 15 ΩR5 = 2 Ω
IR3 = A
6.Hard
R1​ = 6 ΩR2​ = 4 ΩR3​ = 12 Ω+−V1​6 VR4​12 ΩAR5​4 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 6 VV2 = 15 VR1 = 6 ΩR2 = 4 ΩR3 = 12 ΩR4 = 12 ΩR5 = 4 Ω
I3 = A

Answer key

  1. 1. I1 = 1.794 A
  2. 2. IR4 = 0.8403 A
  3. 3. VR3 = 14.15 V
  4. 4. IR2 = −0.2857 A
  5. 5. IR3 = −9.379 A
  6. 6. I3 = −0.9318 A

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