A surface element `vec(ds) = 5 hat(i)` is placed in an electric field `vec(E) = 4 hat(i) + 4 hat(j) + 4 hat(k)`. What is the electric flux emanting from the surface ?

If the electric field is given by (6 hat(i) + 4 hat(j) + 4 hat(k)) , calculate the electric flux through a surface of area 20 units lying in Y-Z plane.

If vec(F ) = hat(i) +2 hat(j) + hat(k) and vec(V) = 4hat(i) - hat(j) + 7hat(k) what is vec(F) . vec(v) ?

A "bar" magnet of moment vec(M)=hat(i)+hat(j) is placed in a magnetic field induction vec(B)=3hat(i)+4hat(j)+4hat(k) . The torque acting on the magnet is

Charge Q is given a displacement vec r = a hat i + b hat j in an electric field vec E = E_1 hat i + E_2 hat j . The work done is.

Charge Q is given a displacement vec r = a hat i + b hat j in an electric field vec E = E_1 hat i + E_2 hat j . The work done is.

If vec (a)= 2 hat (i) - hat (j) + hat (k) and vec(b) = - hat (i) + 3 hat (j) + 4 hat (k) , then value of vec (a). vec(b) is -

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

The displacement of a charge Q in the electric field vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k) is vec(r) = a hat(i) + b hat(j) . The work done is