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Question

1 μC charge is uniformly distributed on a spherical shell given by equation x2+y2+z2=25. The intensity of electric field at a point P(1,1,2) m is .

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Solution


Given:
Equation of spherical shell,x2+y2+z2=25
x2+y2+z2=52
On comparing it with equation of sphere,x2+y2+z2=r2, we get radius, r=5 m.

Also,OP=(x2x1)2(y2y1)2+(z2z1)
OP=(10)2(10)2+(20)
OP=6=2.45 m< 5 m

Therefore point P lies inside the spherical shell.
We know that for any uniformly charged spherical shell, electric field at any point inside the shell is zero.

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