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An electric charge 10^(-3) muC is placed...

An electric charge `10^(-3) muC` is placed at the origin (0, 0) of xy-coordinate system. Two points A and B are situated at `(sqrt(2),sqrt(2)) and (2,0)`, respectively. The potential difference between the points A and B will be

A

4.5 volt

B

9 volt

C

zero

D

2 volt

Text Solution

Verified by Experts

The correct Answer is:
C
`vecn=sqrt2i+sqrt2j`
`|vecn|=r_1=sqrt((sqrt2)^(2)+(sqrt2)^(2))=2`
`vecr_(2)=2hati+0hatj`
`or |vecr_(2)|-r_(2)=2`
Potential at point A is `V_(A)=(Iq)/(4piepsi_(0)r_(1)) =1/(4piepi_(0))=(10^(-3)xx10^(-6))/(2)`
`V_(B)=(1)/(4piepsi_(0))q/r_(2)=(1)/(4piepsi_(0))(10^(-3)xx(10^(-6)))/2`
`therefore V_(A)-V_(B)=0`
`therefore V_(A)-V_(B)=0`
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