A particle is moving with velocity `vec(v)=hat(i)+3hatj` and it produces an electrostatic field at a point given by `vec(E)=2hat(k)`. It will produce magnetic field at that point equal to (all quantities are in S.I. units and speed of light is `c`)

Options

A. `(6hati-2hatj)/(c^(2))`
B. `(6hati+2hatj)/(c^(2))`
C. zero
D. can not be determined from the given data

Answer

A

Explanation

`vec(B)=(mu_(0))/(4pi)q(vec(v)xxvec(r))/(r^(2))` and `vec(E)=1/(4piepsilon_(0)) (q vec(r))/(r^(3))`
`vec(B)=mu_(0)epsilon_(0)(vec(V)xxvec(E))(vec(v)xxvec(E))/(c^(2))`