
Understanding Electrostatic Boundary Conditions
Explore topics such as finding capacitance of a coaxial cable, solving homework problems related to electrostatics, and understanding surface charge density ratios on connected charged spheres. Delve into the concepts of electric field strength near sharp corners and potential after connecting charged spheres.
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Presentation Transcript
Week 12 ELECTROSTATIC BOUNDARY CONDITIONS
Graded quiz ES #4 Derive the surface charge density ratio of the two connected charged spheres, one with radius a and the other with radius b. a=10mm, b=1mm. Originally, both spheres are charged with a charge of 1nC. The spheres are then connected with a long thin metallic wire on which there is no charge. After the connection, the charge on sphere a is QA, and on sphere b is QB. Which sphere has a higher surface charge density? Based on your analysis, write a statement that qualitatively describes the strength of the electric field close to sharp corners.
Now we are going to connect them. What is the potential now?
Where is the charge density higher, on the smaller or larger sphere?
Where is the charge density higher, on the smaller or larger sphere?
Normal Electric Flux Density is equal to surface charge density Where is the field stronger on sphere a or b?
Week 12 Lecture 2 GROUNDING, SHIELDING, IMAGE METHOD