An infinite number of point charges, each carrying 1μC charge, are placed along the y –axis at y=1 m, 2m,4m,8m,........ The total force on a 1 C point charge, placed at the origin, is x×103N . The value of x, to the nearest integer, is ______[ Take14πε0=9×109Nm2/C2]
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
answer is 12.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Let q1=1C and q2=1μCForce on 1C charge due to infinite charges can be written as F=kq1q21+122+142+182+....Sum of infinite GP = a1-r here a= first term and r =common ratio ⇒F=kq1q211−14=kq1q243⇒F=9×10911×10−643 ⇒F=12×103N