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 ΩIR1​R2​ = 4 Ω+−V1​6 VR3​2 ΩAR4​10 ΩBI1​I2​

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

V1 = 6 VR1 = 3 ΩR2 = 4 ΩR3 = 2 ΩR4 = 10 Ω
IR1 = A
2.Easy
R1​ = 5 ΩR2​ = 3 Ω+−V1​12 VR3​4 ΩAR4​12 Ω+−VR4​BI1​I2​

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

V1 = 12 VR1 = 5 ΩR2 = 3 ΩR3 = 4 ΩR4 = 12 Ω
VR4 = V
3.Medium
R1​ = 2 ΩR2​ = 15 Ω+−V1​30 VR3​20 ΩA+−V2​30 VI1​I2​

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

V1 = 30 VV2 = 30 VR1 = 2 ΩR2 = 15 ΩR3 = 20 Ω
I2 = A
4.Medium
R1​ = 6 ΩR2​ = 20 Ω+−V1​18 VR3​2 ΩIR3​A+−V2​6 VI1​I2​

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

V1 = 18 VV2 = 6 VR1 = 6 ΩR2 = 20 ΩR3 = 2 Ω
IR3 = A
5.Hard
R1​ = 2 ΩR2​ = 3 ΩR3​ = 12 Ω+−V1​36 VR4​20 ΩAR5​5 ΩIR5​B+−V2​30 VI1​I2​I3​

Use mesh analysis to find the current IR5 through R5 in the direction of the arrow.

V1 = 36 VV2 = 30 VR1 = 2 ΩR2 = 3 ΩR3 = 12 ΩR4 = 20 ΩR5 = 5 Ω
IR5 = A
6.Hard
R1​ = 2 ΩR2​ = 4 ΩR3​ = 6 Ω+−V1​12 VR4​12 ΩAR5​5 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 12 VV2 = 12 VR1 = 2 ΩR2 = 4 ΩR3 = 6 ΩR4 = 12 ΩR5 = 5 Ω
I3 = A

Answer key

  1. 1. IR1 = 1.263 A
  2. 2. VR4 = 3.716 V
  3. 3. I2 = −0.1622 A
  4. 4. IR3 = 2.302 A
  5. 5. IR5 = 3.786 A
  6. 6. I3 = −0.8308 A

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