Electrostatics

In a uniform sphere of charge density P (rho), a small cavity is created.
The center of the cavity is at a distance a from the center of the sphere. Taking center of the sphere as origin and vector a as unit vector along the line joining the center of cavity and origin find the electric field at a point inside the cavity.

5 Answers

24
eureka123 ·

its easy........apply superposition.....

E+=ρ/3ε r1
E-=ρ/3ε r2

ER=E++E-

i hope remaining 2 steps u can do..............

(just use r1+r2=a)

62
Lokesh Verma ·

but eureka.. will it give the electric field at any aribitrary point if that point is not specified?

62
Lokesh Verma ·

you have to consider the radius vector of that point as r

and then take the electric field due to both these seperately... using guass's law.

Or am I still into my last night's sleep :)

24
eureka123 ·

i have taken vector sir .........r1

33
Abhishek Priyam ·

E+=(ρ/3ε) r1
E-=(ρ/3ε) r2 ....(ρ is not taken as negative as r2 is taken accordingly in opposite direction..)

ER=E++E-

(ρ/3ε)(r1+r2)

(ρ/3ε)r .. r is given unit vector joining two centers...

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