Q: There are two current carrying planar coil made each from identical wires of length L . C_{1} is circular (radius R) and C_{2} is square (side a). They are so constructed that they have same frequency of oscillation when they are placed in the same uniform B and carry the same current. Find a in terms of R.

# Magnetism

## Consider the plane S formed by the dipole axis and the axis of earth. Let P be point on the magnetic equator and in S. Let Q be the point of intersection of the geographical and magnetic equators. Obtain the declination and dip angles at P and Q.

Q: Consider the plane S formed by the dipole axis and the axis of earth. Let P be point on the magnetic equator and in S. Let Q be the point of intersection of the geographical and magnetic equators. Obtain the declination and dip angles at P and Q.

## Assume the dipole model for the earth’s magnetic field B which is given by B_V = vertical component of magnetic field…..

Q: Assume the dipole model for the earth’s magnetic field B which is given by B_{V} = vertical component of magnetic field $=\frac{\mu_0}{4\pi} \frac{2 M cos\theta}{r^3}$

B_{H} = horizontal component of magnetic field $ =\frac{\mu_0}{4\pi} \frac{M sin\theta}{r^3}$

θ = 90° – latitude as measured from magnetic equator.

Find loci of points for which (a) |B| is minimum (b) dip angle is zero and (c) dip angle is 45°

## Suppose we want to verify the analogy between electrostatic and magnetostatic by an explicit experiment. Consider the motion of (i) electric dipole p in an electrostatic field E and (ii) magnetic dipole M in a magnetic field B. Down a set of conditions on E, B, p, M so that the two motions are verified to be identical.

Q: Suppose we want to verify the analogy between electrostatic and magnetostatic by an explicit experiment. Consider the motion of (i) electric dipole p in an electrostatic field E and (ii) magnetic dipole M in a magnetic field B. Down a set of conditions on E, B, p, M so that the two motions are verified to be identical. (Assume identical initial conditions).

## Three identical bar magnets are riveted together at centre in the same plane as shown in figure. this system is placed at rest in a slowly varying magnetic field. It is found that the system of magnets does not show any motion. The north – south poles of one magnet is shown in the figure. determine the poles of the remaining two.

Q: Three identical bar magnets are riveted together at centre in the same plane as shown in figure. this system is placed at rest in a slowly varying magnetic field. It is found that the system of magnets does not show any motion. The north – south poles of one magnet is shown in the figure. determine the poles of the remaining two.