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Problem 3 Problem: A point charge with charge +Q is surrounded by a charged conducting shell, with total charge -2Q, of inner radius a and outer radius b. Outside of the shell is an uncharged dielectric shell of inner radius b and outer radius c, with dielectric constant k = 3. -20 IV (a)What is the field in region 1? (b)What is the field in region II? III II (c)What is the field in region III? (d)What is the field in region IV? Air (e)What is the charge on inner surface of the conductor Qe,inner? (f)What is the charge on the outer surface of the con- ductor Qc,outer? Conductor Dielectric (g)What is the bound charge on the inner surface of the dielectric Qd,inner ? (h)What is the bound charge on the outer surface of the dielectric Qd,outer?

Problem 3 Problem: A point charge with charge +Q is surrounded by a charged conducting shell, with total charge -2Q, of inner radius a and outer radius b. Outside of the shell is an uncharged dielectric shell of inner radius b and outer radius c, with dielectric constant k = 3. -20 IV (a)What is the field in region 1? (b)What is the field in region II? III II (c)What is the field in region III? (d)What is the field in region IV? Air (e)What is the charge on inner surface of the conductor Qe,inner? (f)What is the charge on the outer surface of the con- ductor Qc,outer? Conductor Dielectric (g)What is the bound charge on the inner surface of the dielectric Qd,inner ? (h)What is the bound charge on the outer surface of the dielectric Qd,outer?

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Please solve parts d, e, f, g.

Answers for a-c:

a) E=Q/(4πε0r2) for r<a

b) E=Q/(4πε0r2) for a<r<b

c) E=1/(4πε0r2)(-Q/3r2) for b<r<c

Problem 3 Problem: A point charge with charge +Q is surrounded by a charged conducting shell, with total charge -2Q, of inner radius a and outer radius b. Outside of the shell is an uncharged dielectric shell of inner radius b and outer radius c, with dielectric constant x = 3. -2Q IV III I (a)What is the field in region 1? (b)What is the field in region II? (c)What is the field in region III? I (d)What is the field in region IV? Air (e)What is the charge on inner surface of the conductor Qe,inner? (f)What is the charge on the outer surface of the con- ductor Qe,outer? Conductor Dielectric (g)What is the bound charge on the inner surface of the dielectric Qa,inner? (h)What is the bound charge on the outer surface of the dielectric Qd,outer?
Transcribed Image Text:Problem 3 Problem: A point charge with charge +Q is surrounded by a charged conducting shell, with total charge -2Q, of inner radius a and outer radius b. Outside of the shell is an uncharged dielectric shell of inner radius b and outer radius c, with dielectric constant x = 3. -2Q IV III I (a)What is the field in region 1? (b)What is the field in region II? (c)What is the field in region III? I (d)What is the field in region IV? Air (e)What is the charge on inner surface of the conductor Qe,inner? (f)What is the charge on the outer surface of the con- ductor Qe,outer? Conductor Dielectric (g)What is the bound charge on the inner surface of the dielectric Qa,inner? (h)What is the bound charge on the outer surface of the dielectric Qd,outer?
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