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​ = 6 ΩR2​ = 4 ΩIR2​+−V1​8 VR3​6 ΩAR4​10 ΩBI1​I2​

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

V1 = 8 VR1 = 6 ΩR2 = 4 ΩR3 = 6 ΩR4 = 10 Ω
IR2 = A
2.Easy
R1​ = 3 ΩR2​ = 12 Ω+−V1​24 VR3​6 ΩIR3​AR4​8 ΩBI1​I2​

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

V1 = 24 VR1 = 3 ΩR2 = 12 ΩR3 = 6 ΩR4 = 8 Ω
IR3 = A
3.Medium
R1​ = 6 ΩIR1​R2​ = 6 Ω+−V1​6 VR3​20 ΩA+−V2​30 VI1​I2​

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

V1 = 6 VV2 = 30 VR1 = 6 ΩR2 = 6 ΩR3 = 20 Ω
IR1 = A
4.Medium
R1​ = 8 ΩR2​ = 6 Ω+−V1​10 VR3​3 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 = 8 ΩR2 = 6 ΩR3 = 3 Ω
VR3 = V
5.Hard
R1​ = 20 ΩR2​ = 4 ΩR3​ = 20 Ω+−V1​18 VR4​12 ΩAR5​20 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 18 VV2 = 15 VR1 = 20 ΩR2 = 4 ΩR3 = 20 ΩR4 = 12 ΩR5 = 20 Ω
I3 = A
6.Hard
R1​ = 20 ΩR2​ = 6 ΩR3​ = 3 Ω+−V1​9 VR4​25 ΩAR5​20 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 9 VV2 = 36 VR1 = 20 ΩR2 = 6 ΩR3 = 3 ΩR4 = 25 ΩR5 = 20 Ω
I1 = A

Answer key

  1. 1. IR2 = 0.2353 A
  2. 2. IR3 = 2.424 A
  3. 3. IR1 = −1.609 A
  4. 4. VR3 = 8.4 V
  5. 5. I3 = −0.3924 A
  6. 6. I1 = −0.5411 A

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