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​ = 3 Ω+−V1​20 VR3​8 ΩAR4​6 ΩBI1​I2​

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

V1 = 20 VR1 = 2 ΩR2 = 3 ΩR3 = 8 ΩR4 = 6 Ω
I1 = A
2.Easy
R1​ = 3 ΩR2​ = 3 Ω+−V1​6 VR3​8 ΩAR4​3 ΩBI1​I2​

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

V1 = 6 VR1 = 3 ΩR2 = 3 ΩR3 = 8 ΩR4 = 3 Ω
I2 = A
3.Medium
R1​ = 8 ΩR2​ = 20 Ω+−V1​24 VR3​3 Ω+−VR3​A+−V2​24 VI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 24 VV2 = 24 VR1 = 8 ΩR2 = 20 ΩR3 = 3 Ω
VR3 = V
4.Medium
R1​ = 4 ΩIR1​R2​ = 3 Ω+−V1​30 VR3​8 ΩA+−V2​6 VI1​I2​

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

V1 = 30 VV2 = 6 VR1 = 4 ΩR2 = 3 ΩR3 = 8 Ω
IR1 = A
5.Hard
R1​ = 8 ΩR2​ = 2 ΩR3​ = 12 Ω+−V1​24 VR4​6 ΩAR5​12 ΩIR5​B+−V2​10 VI1​I2​I3​

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

V1 = 24 VV2 = 10 VR1 = 8 ΩR2 = 2 ΩR3 = 12 ΩR4 = 6 ΩR5 = 12 Ω
IR5 = A
6.Hard
R1​ = 4 ΩR2​ = 3 ΩR3​ = 4 Ω+−V1​36 VR4​3 ΩAR5​15 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 36 VV2 = 36 VR1 = 4 ΩR2 = 3 ΩR3 = 4 ΩR4 = 3 ΩR5 = 15 Ω
I3 = A

Answer key

  1. 1. I1 = 3.208 A
  2. 2. I2 = 0.5333 A
  3. 3. VR3 = 8.262 V
  4. 4. IR1 = 4.147 A
  5. 5. IR5 = 0.6479 A
  6. 6. I3 = −3.198 A

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