Charge Q is given a displacement `r=ahati+bhatj` in electric field `E=E_1hati+E_2hatj`. The work done is

Options

A. `Q(E_1a+E_2b)`
B. `Qsqrt((E_1a)^2+(E_2b)^2)`
C. `Q(E_1+E_2)sqrt(a^2+b^2)`
D. `Qsqrt(E_1^2+E_2^2) sqrt(a^2+b^2)`

Answer

A

Explanation

`W=F.r`
`=(QE).r=Q(E.r)` ltbr `=Q(E_1a+E_2b)`