An equilateral triangle of side a carries a current T. Magnetic field at point P which is vertex of triangle
(1)`(mu_(0)I)/(2sqrt(3)pi a)`
(2) `(mu_(0)I)/(2sqrt(3)pi a)`
(3) `(9)/(2)((mu_(0)I)/(pi a))`
(4) `(9)/(2)((mu_(0)I)/(pi a))`

A long straight wire is carrying a current of 12 A . The magnetic field at a distance of 8 cm is (mu_(0) =4pi xx 10^(-7) N A ^(2))

A wire in the from of a square of side 'a' carries a current i . Then the magnetic induction at the centre of the square wire is (Magnetic permeability of free space= mu_(0) )

The magnetic field at the origin due to a current element I vec(dl) placed at position r is (i) ((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) -((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) (iii) ((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3))) -((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3)))

Find magnetic field at centre of hexagon wire of side a system carrying current 'I' at centre with 50 turn in multiple of \mu_0I/\(a pi)

A long straight wire carries an electric current of 2A . The magnetic induction at a perpendicular distance of 5m from the wire is ( mu_(0)4 pi xx 10^(7)Hm^(-1))

The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is (a) pi\ :sqrt(2) (b) pi\ :sqrt(3) (c) sqrt(3)\ :pi (d) sqrt(2)\ :pi

If z=pi/4(1+i)^4((1-sqrt(pi)i)/(sqrt(pi)+i)+(sqrt(pi)-i)/(1+sqrt(pi)i)),then"((|z|)/(a m p(z))) equal

If the middle points of the sides of a triangle are (1,1),(2,-3) and (3,2) then the centroid of the triangle is (i) (-2,0) (ii) (0,2) (iii) (3,2) (iv) (2,0)

A circular loop of diameter 80 cm carries a steady current 2 A. The magnetic field intensity at the centre of the loop is _________ xx10^(-6) T . (Permeability of vacuum mu_(0)=4pixx10^(-7) N//A^(2) , Take pi=3.14 )

int_0^3(3x+1)/(x^2+9)dx = (pi^)/(12)+log(2sqrt(2)) (b) (pi^)/2+log(2sqrt(2)) (c) (pi^)/6+log(2sqrt(2)) (d) (pi^)/3+log(2sqrt(2))