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=√(x2−x1)2(y2−y1)2+(z2−z1) OP=√(1−0)2(1−0)2+(2−0) 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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