Two circular coils X and Y, having equal number of turns and carrying currents in the same sense, subtend same solid angle at point O. If the smaller coil X is midway between O and Y and if we represent the magnetic induction due to bigger coil Y at O as `B_y `and the due to smaller coil X at O as `B_x,`then find the ratio` B_x//B_y.`

If ax-2y-1=0 and 6x-4y+b=0 represent the same line, find the values of a and b.

For a circular coil of radius R and N turns carrying 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_0IR^2N)/(2(x^2+R^2)^(3/2)) . Consider two parallel co-axial circular coils of equal radius R, and number of turns N, carrying equal currents 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 as compared to R, and is given by, B=0.72 (mu_0NI)/R approximately.

If x and y are in direct proportion then find the value of a and b in

If (x+1,x) and (6,y-2) represent the same point in cartesian plane, then find x and y.

If (x+3,5) and (7,y-3) represent the same point, then find the values of x and y .

The magnetic field of a given length of wire carrying a current of a single turn circular coil at centre is B, then its value for two turns for the same wire when same current passing through it is

If 3x-by+2=0 and 9x+3y+a=0 represent the same straight line, find the values of a and b.

The point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1 does not lie on the line

Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A, coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their centre.