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# electrostatics

### Removed Charge (Kvpy ’10)

$$12$$ positive charges of magnitude $$q$$ are placed on a circle of radius $$R$$ in a manner that they are …

### Maximum Electric Field of a Ring

A ring of radius $$r$$ is located in the $$x-y$$ plane is given a total charge $$Q=2\pi R\lambda$$. Show that …

### Electric Field of a Charged Hemisphere

A total charge $$q$$ is spread uniformly over the inner surface of a non-conducting hemispherical cup of inner radius $$a$$. …

### Electric Field from Electric Potential

If the electric potential is given by $$\chi=cxy$$, calculate the electric field. Discussion: $$E_x=-\frac{\partial\chi}{\partial x}=-cy$$ $$E_y=\frac{\partial \chi}{\partial y}=-cx$$ …

### Breakdown Voltage of a Sphere

What is the maximum charge that can be given to a sphere of diameter $$10cm$$ if the breakdown voltage …

### Infinite Number of Charges

An infinite number of charges, each equal to $$q$$, are placed along the x-axis at $$x=1$$,$$x=2$$,$$x=4$$,$$x=8$$ etc. Find the potential …

### Tension in a Pendulum inside an Electric Field

A pendulum bob of mass $$80mg$$ carries a charge of $$2*10^{-8}C$$ at rest in an horizontal uniform electric field of …

### Three Charged Spheres

Consider three concentric metallic spheres $$A$$, $$B$$ and $$C$$ of radii of $$a$$, $$b$$, $$c$$ respectively where a<b<c . $$A$$ …

### Total Charge on a Circular Disc

Consider a circular disc of radius $$a$$ whose surface density of charge at any point $$(r,\theta$$) is $$\sigma(r,\theta)=\sigma_0r^2sin^2\theta$$ Find …

### Potential of Metal Sphere

A metal sphere having a radius $$r_1$$ charged to a potential $$\phi_1$$ is enveloped by a thin-walled conducting spherical shell …

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