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The electric potential at a point in fre...

The electric potential at a point in free space due to a charge `Q` coulomb is `Q xx 10^(11)` volts. The electric field at that point is

A

`4piepsilon_0Q xx 10^(20) V//m`

B

`12piepsilon_0Q xx 10^(22) V//m`

C

`4piepsilon_0Q xx 10^(22) V//m`

D

`12piepsilon_0Q xx 10^(20) V//m`

Text Solution

Verified by Experts

The correct Answer is:
C
`V=(KQ)/rimpliesQxx10^(11) =(KQ)/rimpliesK/r =10^(11)`
`E=(KQ)/r^2=((KQ)/r)^2xx1/(KQ)=(Qxx10^(11))^(2) xx1/(KQ)`
`implies E = 4piepsilon_0 xxQ xx 10^(22) V//m`
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