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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
R1​ = 3 ΩR2​ = 2 Ω+−V1​12 VR3​6 ΩAR4​8 ΩBI1​I2​

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

V1 = 12 VR1 = 3 ΩR2 = 2 ΩR3 = 6 ΩR4 = 8 Ω
I2 = A
2.Easy
R1​ = 2 ΩR2​ = 10 Ω+−V1​20 VR3​12 ΩAR4​5 ΩIR4​BI1​I2​

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

V1 = 20 VR1 = 2 ΩR2 = 10 ΩR3 = 12 ΩR4 = 5 Ω
IR4 = A
3.Medium
R1​ = 12 Ω+−VR1​R2​ = 5 Ω+−V1​6 VR3​8 ΩA+−V2​15 VI1​I2​

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

V1 = 6 VV2 = 15 VR1 = 12 ΩR2 = 5 ΩR3 = 8 Ω
VR1 = V
4.Medium
R1​ = 2 ΩR2​ = 4 ΩIR2​+−V1​9 VR3​5 ΩA+−V2​9 VI1​I2​

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

V1 = 9 VV2 = 9 VR1 = 2 ΩR2 = 4 ΩR3 = 5 Ω
IR2 = A
5.Hard
R1​ = 6 ΩR2​ = 5 ΩR3​ = 12 Ω+−V1​36 VR4​2 ΩAR5​12 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 36 VV2 = 36 VR1 = 6 ΩR2 = 5 ΩR3 = 12 ΩR4 = 2 ΩR5 = 12 Ω
I1 = A
6.Hard
R1​ = 3 ΩR2​ = 5 ΩR3​ = 30 Ω+−V1​15 VR4​5 ΩAR5​25 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 15 VV2 = 10 VR1 = 3 ΩR2 = 5 ΩR3 = 30 ΩR4 = 5 ΩR5 = 25 Ω
I3 = A

Answer key

  1. 1. I2 = 0.6667 A
  2. 2. IR4 = 1.026 A
  3. 3. VR1 = −2.571 V
  4. 4. IR2 = −0.4737 A
  5. 5. I1 = 4.32 A
  6. 6. I3 = −0.07479 A

Full step-by-step solutions: practise this topic on examproblems.com.