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​ = 10 ΩR2​ = 10 ΩIR2​+−V1​15 VR3​10 ΩAR4​5 ΩBI1​I2​

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

V1 = 15 VR1 = 10 ΩR2 = 10 ΩR3 = 10 ΩR4 = 5 Ω
IR2 = A
2.Easy
R1​ = 8 ΩIR1​R2​ = 3 Ω+−V1​24 VR3​8 ΩAR4​8 ΩBI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 3 ΩR3 = 8 ΩR4 = 8 Ω
IR1 = A
3.Medium
R1​ = 15 ΩR2​ = 3 Ω+−V1​15 VR3​10 ΩA+−V2​9 VI1​I2​

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

V1 = 15 VV2 = 9 VR1 = 15 ΩR2 = 3 ΩR3 = 10 Ω
I2 = A
4.Medium
R1​ = 5 ΩR2​ = 12 Ω+−VR2​+−V1​15 VR3​10 ΩA+−V2​24 VI1​I2​

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

V1 = 15 VV2 = 24 VR1 = 5 ΩR2 = 12 ΩR3 = 10 Ω
VR2 = V
5.Hard
R1​ = 5 ΩR2​ = 4 ΩR3​ = 2 Ω+−V1​10 VR4​4 ΩAR5​3 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 10 VV2 = 9 VR1 = 5 ΩR2 = 4 ΩR3 = 2 ΩR4 = 4 ΩR5 = 3 Ω
I3 = A
6.Hard
R1​ = 4 ΩR2​ = 25 ΩR3​ = 2 ΩIR3​+−V1​24 VR4​8 ΩAR5​2 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 24 VV2 = 24 VR1 = 4 ΩR2 = 25 ΩR3 = 2 ΩR4 = 8 ΩR5 = 2 Ω
IR3 = A

Answer key

  1. 1. IR2 = 0.375 A
  2. 2. IR1 = 1.9 A
  3. 3. I2 = −0.3333 A
  4. 4. VR2 = −10.96 V
  5. 5. I3 = −1.877 A
  6. 6. IR3 = −5.93 A

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