A square loop of side 'l' having uniform linear charge density '`lambda`' is placed in 'xy' plane as shown in the figure. There is a non uniform electric field `vec E= a/l (x+l) hat i` where a is a constant. Then resultant electric force on the loop if `l=10cm, a=2N//C` and charge density `lambda = 2muC//m` is:

A wire loop carrying current I is placed in the x-y plane as shown in the figure. If an external uniform magnetic field vec(B)=B hat(i) is switched on, then the torque acting on the loop is

A square loop of side 'a' is placed in x-y plane as shown in figure. In this region there is non-uniform time dependent magnetic field vec B= (cy^3 t^2) veck , [where t is time and c is constant] then magnitude of emf induced in loop is

Figure shows a long wire having uniform charge density lambda as shown in figure. Calculate electric field intensity at point P.

A circular ring of radius R and uniform linear charge density +lamdaC//m are kept in x - y plane with its centre at the origin. The electric field at a point (0,0,R/sqrt(2)) is

(i) Two infinitely long line charges each of linear charge density lambda are placed at an angle theta as shown in figure. Find out electric field intensity at a point P, which is at a distance x from point O along angle bisector of line charges. (ii) Repeat the above question if the line charge densities are lambda and -lambda . as shown in figure.

Two infinitely large charged planes having uniform surface change density + sigma and - sigma are placed along xy plane and yz plane resp as shown in figure. Then nature of electric lines of force in xz plane is given by

If three infinite charged sheets of uniform surface charge densities sigma, 2sigma and -4 sigma are placed as shown in figure, then find out electric field intensities at points A, B, C and D.

A rod of length 'l' is placed along x-axis. One of its ends is at the origin. The rod has a non-uniform charge density lambda= a, a being a positive constant. Electric potential at P as shown in the figure is -

A thin non-conducting ring or radius a has a linear charge density lambda = lambda_(0) sin phi . A uniform electric field E_(0) hat(i) + E_(0) hat(j) exist in the region . .Net torque acting on ring is given as :

A rod of length l is placed along x - axis. One of its ends is at the origin. The rod has a non - uniform charge density lambda=(a)/(x) , a being a positive constant. The electric potential at the point P (origin) as shown in the figure is