The electric field in a certain region is given by `vec(E) = ((K)/(x^(3)))vec(i)`. The dimensions of K are -

Electric field in a region of space is given by vec E=ayhat i+axhat j then

If the electric field in a region is given by vec(E) = 5 hat(i) + 4 hat(j)+ 9 hat(K) , then the electric flux through a surface of area 20 units lying in the y-z plane will be

A particle having mass m and charge q is released from the origin in a region in which electric field and megnetic field are given by vec(B) = -B_(0)hat(j) and vec(E) = vec(E)_(0)hat(k) . Find the speed of the particle as a function of its z -coordinate.

In a certain region static electric and magentic fields exist. The magnetic field is given by vec(B) = B_(0) (hat(i) + 2hat(j)-4hat(k)) . If a test charge moving with a velocity, vec(upsilon) = upsilon_(0)(3hat(i)-hat(j) +2hat(k)) experience no force in that region, then the electric field in the region, in SI units, is-

In a certain region static electric and magentic fields exist. The magnetic field is given by vec(B) = B_(0) (hat(i) + 2hat(j)-4hat(k)) . If a test charge moving with a velocity, vec(upsilon) = upsilon_(0)(3hat(i)-hat(j) +2hat(k)) experience no force in that region, then the electric field in the region, in SI units, is-

In a certain region static electric and magentic fields exist. The magnetic field is given by vec(B) = B_(0) (hat(i) + 2hat(j)-4hat(k)) . If a test charge moving with a velocity, vec(upsilon) = upsilon_(0)(3hat(i)-hat(j) +2hat(k)) experience no force in that region, then the electric field in the region, in SI units, is-

Show that when an electric dipole is placed in a uniform electric field vec(E) , petential energy U is given by U = - vec(P) , vec(E)