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  4. A positively charged ball hangs from a long silk thread. Electric field at a certain point (at the same horizontal level of ball) due to this charge is E. Let us put a positive test charge q0 at this point and measure F / q0 on this charge. Then, E

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Q. A positively charged ball hangs from a long silk thread. Electric field at a certain point (at the same horizontal level of ball) due to this charge is $E$. Let us put a positive test charge $q_{0}$ at this point and measure $F / q_{0}$ on this charge. Then, $E$

Electric Charges and Fields

Solution:

$E=\frac{k Q}{r^{2}}$ .....(i)
image
$F=\frac{k Q q_{0}}{r_{1}^{2}} $
or $ \frac{F}{q_{0}}=\frac{k Q}{r_{1}^{2}}$....(ii)
As $r_{1}>r$, so from Eqs. (i) and (ii),
we get $E>F / q_{0}$