The electric potential at a point certain distance from a point charge is 600 V and the electric field is `200 NC^(-1)`. Which of the following statements will be true?

Options

A. The work done in moving a point charge of `1muC` from the given point to a point at a distance of 9 m will be `4 xx 10^(-4)J`.
B. The distance of the given point from the charge is 3 m.
C. The potential at a distance of 9 m will be 200 V.
D. The magnitude of charge is `0.2 xx 10^(-3)`C.

Answer

A, B, C

Explanation

a.,b.,c.
`V=(1)/(4piepsilon_(0))(q)/(r)=600V`
And `E=(1)/(4epsilon_(0))(q)/(r^(2))=200 NC^(-1)`
Hence, `(V)/(E)=r=(600)/(200)=3m`
Now, `(q)/(4piepsilon_(0)r)=600,(q)/(4piepsilon_(0)r))=V^(-1)'`
`therefore (v')/(600)=(r)/(r')=(3)/(9)`
or `V'=200V`
`W=q(V-V')=10^(-6)(600-200)`
`=4xx10^(-4)J`