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1.A charge q is uniformly distributed in a sphere of radius R. Obtain an expression for the potential V(r) at a point distant r from the centre (r < R).
2.A charge q is distributed uniformly on a ring of radius a. A sphere of equal radius a is constructed with its centre at the periphery of the ring. Calculate flux of the electric field through the surface of the sphere.
3.A charge q is placed at the centre of an imaginary spherical surface. What will be the electric flux due to this charge through any half of the sphere.
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4.A charge Q is uniformly distributed over the surface of non conducting disc of radius R. The disc rotates about an axis perpendicular to its plane and passing through its centre with an angular velocity ?. As a result of this rotation a magnetic field of induction B is obtained at the centre of the disc. If we keep both the amount of charge placed on the disc and its angular velocity to be constant and vary the radius of the disc then what will be the variation of the magnetic induction at the centre of the disc?
5.A solid nonconducting sphere of radius R = 8.9 cm has a nonuniform charge distribution of volume charge density = (16.7 pC/m3)r/R, where r is radial distance from the sphere’s center. What is the sphere’s total charge (in fC)? What is the magnitude E of the electric field (in mN/C) at
(a)r = 0
(b)r = R/4.4
(c)r = R?
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