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​ = 2 ΩR2​ = 2 Ω+−V1​15 VR3​5 ΩAR4​6 ΩBI1​I2​

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

V1 = 15 VR1 = 2 ΩR2 = 2 ΩR3 = 5 ΩR4 = 6 Ω
I2 = A
2.Easy
R1​ = 3 ΩIR1​R2​ = 10 Ω+−V1​12 VR3​2 ΩAR4​5 ΩBI1​I2​

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

V1 = 12 VR1 = 3 ΩR2 = 10 ΩR3 = 2 ΩR4 = 5 Ω
IR1 = A
3.Medium
R1​ = 2 ΩR2​ = 10 Ω+−V1​10 VR3​3 ΩIR3​A+−V2​12 VI1​I2​

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

V1 = 10 VV2 = 12 VR1 = 2 ΩR2 = 10 ΩR3 = 3 Ω
IR3 = A
4.Medium
R1​ = 4 ΩR2​ = 20 Ω+−V1​24 VR3​2 ΩA+−V2​24 VI1​I2​

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

V1 = 24 VV2 = 24 VR1 = 4 ΩR2 = 20 ΩR3 = 2 Ω
I1 = A
5.Hard
R1​ = 10 ΩR2​ = 10 Ω+−VR2​R3​ = 5 Ω+−V1​12 VR4​2 ΩAR5​3 ΩB+−V2​12 VI1​I2​I3​

Use mesh analysis to find the voltage VR2 across R2 with the polarity shown.

V1 = 12 VV2 = 12 VR1 = 10 ΩR2 = 10 ΩR3 = 5 ΩR4 = 2 ΩR5 = 3 Ω
VR2 = V
6.Hard
R1​ = 10 Ω+−VR1​R2​ = 6 ΩR3​ = 30 Ω+−V1​10 VR4​30 ΩAR5​4 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 10 VV2 = 12 VR1 = 10 ΩR2 = 6 ΩR3 = 30 ΩR4 = 30 ΩR5 = 4 Ω
VR1 = V

Answer key

  1. 1. I2 = 1.136 A
  2. 2. IR1 = 2.519 A
  3. 3. IR3 = 2.214 A
  4. 4. I1 = 3.75 A
  5. 5. VR2 = −1.846 V
  6. 6. VR1 = 5.181 V

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