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​ = 2 Ω+−VR1​R2​ = 2 Ω+−V1​6 VR3​12 ΩAR4​10 ΩBI1​I2​

Use mesh analysis to find the voltage VR1 across R1 with the polarity shown.

V1 = 6 VR1 = 2 ΩR2 = 2 ΩR3 = 12 ΩR4 = 10 Ω
VR1 = V
2.Easy
R1​ = 8 ΩIR1​R2​ = 5 Ω+−V1​15 VR3​4 ΩAR4​6 ΩBI1​I2​

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

V1 = 15 VR1 = 8 ΩR2 = 5 ΩR3 = 4 ΩR4 = 6 Ω
IR1 = A
3.Medium
R1​ = 2 ΩR2​ = 6 Ω+−V1​30 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 = 30 VV2 = 6 VR1 = 2 ΩR2 = 6 ΩR3 = 2 Ω
IR3 = A
4.Medium
R1​ = 10 ΩR2​ = 8 Ω+−V1​12 VR3​12 ΩA+−V2​9 VI1​I2​

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

V1 = 12 VV2 = 9 VR1 = 10 ΩR2 = 8 ΩR3 = 12 Ω
I1 = A
5.Hard
R1​ = 30 ΩR2​ = 3 ΩR3​ = 25 Ω+−V1​5 VR4​2 ΩAR5​4 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 5 VV2 = 24 VR1 = 30 ΩR2 = 3 ΩR3 = 25 ΩR4 = 2 ΩR5 = 4 Ω
I3 = A
6.Hard
R1​ = 3 ΩR2​ = 8 ΩR3​ = 30 Ω+−V1​18 VR4​12 ΩAR5​10 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 18 VV2 = 5 VR1 = 3 ΩR2 = 8 ΩR3 = 30 ΩR4 = 12 ΩR5 = 10 Ω
I2 = A

Answer key

  1. 1. VR1 = 1.5 V
  2. 2. IR1 = 1.372 A
  3. 3. IR3 = 6.857 A
  4. 4. I1 = 0.4459 A
  5. 5. I3 = −0.8773 A
  6. 6. I2 = 0.7346 A

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