Magnetism

There are two current carrying planar coil made each from identical wires of length L . C1 is circular (radius R) and C2 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.

Q: There are two current carrying planar coil made each from identical wires of length L . C1 is circular (radius R) and C2 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.

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 BV = vertical component of magnetic field $=\frac{\mu_0}{4\pi} \frac{2 M cos\theta}{r^3}$
BH = 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.

Numerical