1.

The electric potential at a 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?

Answer»

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`.
The distance of the given point from the charge is 3 m.
The potential at a distance of 9 m will be 200 V.
The magnitude of charge is `0.2 xx 10^(-3)`C.

SOLUTION :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`


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