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​ = 12 ΩR2​ = 8 Ω+−V1​8 VR3​5 ΩAR4​4 ΩBI1​I2​

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

V1 = 8 VR1 = 12 ΩR2 = 8 ΩR3 = 5 ΩR4 = 4 Ω
I2 = A
2.Easy
R1​ = 10 ΩR2​ = 12 Ω+−V1​20 VR3​3 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 20 VR1 = 10 ΩR2 = 12 ΩR3 = 3 ΩR4 = 3 Ω
IR3 = A
3.Medium
R1​ = 20 ΩR2​ = 15 Ω+−V1​9 VR3​6 ΩA+−V2​6 VI1​I2​

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

V1 = 9 VV2 = 6 VR1 = 20 ΩR2 = 15 ΩR3 = 6 Ω
I1 = A
4.Medium
R1​ = 10 ΩR2​ = 2 ΩIR2​+−V1​10 VR3​2 ΩA+−V2​9 VI1​I2​

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

V1 = 10 VV2 = 9 VR1 = 10 ΩR2 = 2 ΩR3 = 2 Ω
IR2 = A
5.Hard
R1​ = 12 ΩR2​ = 30 ΩR3​ = 12 Ω+−V1​18 VR4​12 ΩAR5​25 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 18 VV2 = 24 VR1 = 12 ΩR2 = 30 ΩR3 = 12 ΩR4 = 12 ΩR5 = 25 Ω
I3 = A
6.Hard
R1​ = 4 ΩR2​ = 25 ΩR3​ = 12 Ω+−V1​5 VR4​6 ΩAR5​8 ΩIR5​B+−V2​12 VI1​I2​I3​

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

V1 = 5 VV2 = 12 VR1 = 4 ΩR2 = 25 ΩR3 = 12 ΩR4 = 6 ΩR5 = 8 Ω
IR5 = A

Answer key

  1. 1. I2 = 0.1515 A
  2. 2. IR3 = 1.333 A
  3. 3. I1 = 0.3 A
  4. 4. IR2 = −2 A
  5. 5. I3 = −0.7592 A
  6. 6. IR5 = 0.5665 A

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