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Lecture 9:  iq07

 

1.  Uniformly charged ring: Ering(q,r;z)

2.  Setup the integral expression:

o   Geometry: Disk(Q,R)=S i flat-ring(DQi, r), r: from 0 to R in Dr interval.

o   Edisk(Q, R; z)= S i [DEFR(DQi, r; z)], DQ=(DQ/DA)DA=(Q/A) 2prDr.

 

3.  Verify the textbook integral expression p641.

4.  Integration: Find F(r), where f(r)=dF(r)/dr.

o   f(r): integrand function and F(r): integral function

o   Integration leads to final expression for: EDisk(Q, R; z).

o   Small and large z limits of the field.   

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