Electric field at origin due to a point charge `1 nC` placed at (1,1)m in x-y plane, is

`9N/C`

`9sqrt2``N/C`

`9/sqrt2``N/C`

`4.5N/C`

A charge of 10^(-10C is placed at the origin. The electric field at (1, 1) m due to it (in NC^(-1) ) is

The electric field due to a charge at a distance of 3 m from it is 500 NC^(-1) . The magnitude of the charge is [(1)/(4 pi epsi_(0)) = 9 xx 10^(9) N - m^(2)//C^(2)]

An electric dipole placed at an angle of 30^(@) with a uniform electric field of intensity 10^(4)N.C^(-1) experiences a torque of 9xx10^(-26)N.m . What is the moment of the electric dipole?

A total charge of 5 muC is distributed uniformly on the surface of the thin walled semispherical cup. If the electric field strength at the centre of the hemisphere is 9xx10^(8) NC^(-1) , then the radius of the cup is (1/(4pi epsi_(0))=9xx10^(9) N-m^(2) C^(-2))

The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tangents at Pa n dQ make 60^0 with the x-axis are. 1n((sqrt(3)+sqrt(7))/7)a n d1n((sqrt(3)+sqrt(5))/2) 1n((sqrt(3)+sqrt(7))/2) (c) 1n((sqrt(7)-sqrt(3))/2) +-1n((sqrt(3)+sqrt(7))/2)

The sides of a triangle are 7\ c m ,\ 9\ c m\ a n d\ 14\ c mdot Its area is (a) 12sqrt(5)\ c m^2 (b) 12sqrt(3)\ c m^2 (c) 24sqrt(5)\ c m^2 (d) 63\ c m^2

Two charges of 4 mu C each are placed at the corners A and B of an equilaternal triangle of side length 0.2 m in air. The electric potential at C is [(1)/(4pi epsilon_(0)) = 9 xx 10^(9) (N-m^(2))/(C^(2))]

The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tangents at Pa n dQ make 60^0 with the x-axis are. )a) 1n((sqrt(3)+sqrt(7))/7)a n d1n((sqrt(3)+sqrt(5))/2) (b) 1n((sqrt(3)+sqrt(7))/2) (c) 1n((sqrt(7)-sqrt(3))/2) (d) +-1n((sqrt(3)+sqrt(7))/2)

If the mean of first n natural numbers is (5n)/9 , then n= (a) 5 (b) 4 (c) 9 (d) 10

Two point charges q_(1)(sqrt(10)mu C) and q_(2)(-25mu C) are placed on the x-axis at x = 1 m and x = 4 m respectively. The electric field (in V/m) at a point y =3 m on y-axis is, ["take "(1)/(4piin_(0))=9xx10^(9)Nm^(2)C^(-2)]