Browse & Filter

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We will show that for a uniformly charged sphere, radius \(a\) and charge \(Q\),

the electric field is given by \begin{equation}  \vec E =  \begin{cases} 0 & \text{if } r<a\\      \frac{Q}{4\pi\epsilon_0 R^2 }  & \text{if } r > a  \end{cases} \end{equation}

The electric field due to a charged ring, at a point, \(P\) on its axis,  is computed using Coulomb's law. We will show that the electric field of uniformly charged ring, radius \(R\), at a  point on the axis of the ring,  is given by

\begin{equation}  \vec E = \frac{qz}{4\pi\epsilon_0(z^2+r_0^2)^{3/2}} \, \hat k. \end{equation} where \(q\) is the total charge and \(z\) is the distance if field point from the center of the ring.

1. Guess the value of the dipole moment?
2. Compute the dipole moment of the system and check the correctness of the expression you guessed.
3. How will the dipole moment change if the two spheres equal and opposite total charges but have different radii \(a,b, a \ne b\).

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The plane of oscillation of a simple pendulum is rotates due to Coriolis force. It is shown that the angular velocity of rotation is equal and opposite to the Earth's angular velocity. This result has the interpretation that the pendulum keeps oscillating in a fixed plane as seen from the frame fixed in stars. This is expected

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A body falling under the earth's gravitational field experiences a side ways deflection due to Coriolis force. An expression for this deflection is obtained and numerical values are estimated.