Two electric dipoles of moments p and 27 p are placed in opposite direction on a line at a distance of 24 ~cm . The electric field will be zero at a point between the dipoles whose distance from the dipole of moment p is

Step-by-step solution

Consider two dipoles are placed at two points A and B in opposite direction. Let P be the null point, where net electric field intensity is found to be zero. x be distance of point from electric dipole at A . By using expression of electric field intensity at axial position due to short electric dipole, E = 2 k p r^3 E₁ and E₂ be the magnitudes of electric field due to electric dipole p and 27 p , which are equal and opposite to produce net electric field zero. Therefore, E₁=E₂ 2 k p x^3 = 2 k(27 p) (24-x)^3 1 x =