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Q.

An infinite line of charge with uniform line charge density of 1 C/m is placed along the y-axis. A charge of 1C is placed on the X-axis at a distance of d=3m from the origin. At what distance r from the origin on the x-axis, the total electric field is zero (Assume 0 < r < d)    

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a

1.75m

b

1m  

c

2 m 

d

2.5 m

answer is B.

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Detailed Solution

For electric field zero at X

Question Image

Elinecharge=Epoint charge

2kλx=kq3−x2

⇒2x2−13x+18=0

x1=4.5 orx=2m

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