A student records the following data for the magnitudes (B) of the magnetic field at axial points at different distances x from the centre of a circular coil of radius a carrying a current I. Verify (for any two) that these observations are in good agreement with the expected the oretical variation of B with x.

A circular coil of radius R carries an electric current i. The magnetic field at a point on the axis at a distance x from the centre of the coil (xgtgtR) varies as

A circular coil A is of radius R and current I, another circular coil 'B’ is of radius 2R and current 2I.The ratio of magnetic field B_A : B_B at their centre is—

If the distance x of a point on the axis of a circular loop carrying current I is much larger than the radius of the loop, show that the magnetic field at that points is proportional to (1)/(x^(3)) .

The magnetic field at the centre of a loop of radius carrying current I is B_1 .The magnctic field at a distance from the long straight current canying wire is B_2 . Compare B_1 & B_2 .

The ratio of magnetic field and magnetic moment at the centre of a current carrying circular loop is x. When both the current and radius is doubled the ratio will be

Sketch a graph to show the variation of the magnetic field due to a circular current carrying coil with distance along its axis on both sides of its centre.

For a circular coil of radius R and number of turns N carrying a current I, the magnitude of the magnetic field at a point on its axis at a distance x from its centre is given by B=(mu_(0)IR^(2)N)/(2(x^(2)+R^(2))^(3//2) Consider two parallel co-axis circular coils of equal radius R and number of turns N, carrying equal current in the same direction and separated by a distance R. Show that the field on the axis around the mid-point between the coils is uniform over a distance that is small compared to R and is given by B=0.72 mu_(0) NI//R , approximately. (Such an arrangement to produce a nearly uniform magnetic field over a small region is know as Helmholtz coils).

Obtain for the magnetic induction, vector at a point on the axis of a circular loop of radius r, at a distance x. If i be the current passing through the loop then draw the lines of the forces for the magnetic field.

A circular coil of radius r carries a current I . It produces magnetic fields B_(1) at the centre of the coil and B_(2) at an axial point at a distance r from the centre. The ratio of B_(1) and B_(2) is