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​ = 5 ΩR2​ = 2 Ω+−V1​20 VR3​6 ΩAR4​12 ΩBI1​I2​

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

V1 = 20 VR1 = 5 ΩR2 = 2 ΩR3 = 6 ΩR4 = 12 Ω
I1 = A
2.Easy
R1​ = 5 ΩR2​ = 6 Ω+−V1​10 VR3​2 ΩAR4​6 ΩBI1​I2​

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

V1 = 10 VR1 = 5 ΩR2 = 6 ΩR3 = 2 ΩR4 = 6 Ω
I2 = A
3.Medium
R1​ = 3 ΩR2​ = 2 Ω+−V1​10 VR3​10 Ω+−VR3​A+−V2​24 VI1​I2​

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

V1 = 10 VV2 = 24 VR1 = 3 ΩR2 = 2 ΩR3 = 10 Ω
VR3 = V
4.Medium
R1​ = 10 ΩR2​ = 8 Ω+−VR2​+−V1​9 VR3​15 ΩA+−V2​15 VI1​I2​

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

V1 = 9 VV2 = 15 VR1 = 10 ΩR2 = 8 ΩR3 = 15 Ω
VR2 = V
5.Hard
R1​ = 8 ΩIR1​R2​ = 15 ΩR3​ = 4 Ω+−V1​24 VR4​30 ΩAR5​5 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 24 VV2 = 36 VR1 = 8 ΩR2 = 15 ΩR3 = 4 ΩR4 = 30 ΩR5 = 5 Ω
IR1 = A
6.Hard
R1​ = 3 ΩR2​ = 15 ΩR3​ = 2 Ω+−V1​15 VR4​30 ΩAR5​30 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 15 VV2 = 10 VR1 = 3 ΩR2 = 15 ΩR3 = 2 ΩR4 = 30 ΩR5 = 30 Ω
I3 = A

Answer key

  1. 1. I1 = 2.174 A
  2. 2. I2 = 0.2128 A
  3. 3. VR3 = 16.43 V
  4. 4. VR2 = −5.486 V
  5. 5. IR1 = 0.5963 A
  6. 6. I3 = −0.1087 A

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