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A positive point charge 50mu C is locate...

A positive point charge `50mu C` is located in the plane xy at a point with radius vector `vecr_(0)=2hat(i)+3hat(j)`. The electric field vector `vec(E )` at a point with radius vector `vec(r )=8 hat(i)-5 hat(j)`, where `r_(0)` and r are expressed in meter, is

A

1200`V//M`

B

0.4 `V//m`

C

900 `V//m`

D

4500`V//m`

Text Solution

Verified by Experts

The correct Answer is:
D
` (##NG_PHY_C01_E01_001_S01.png" width="80%">
` vec (OP) = ( 8 hat I - 5 hat I) - (2 hat I + 3 hat j)`
`vec (OP) = 6 hat I - 8 hatj rArr PO = 10 m`
` vec E_p = K Q/ (OP^3) vec (PO) = (KQ) /(OP)^(2) .Ohatp`
` E_p = ( 9 xx 10^9 xx 50 xx 10^(-6))/(10)^2 = 4 500 V//m` .
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