Question:

The magnitude of point charge due to which the electric field 30 cm away has the magnitude ,$2 \, NC^{-1}$ will be

Updated On: May 30, 2022
  • $ 2 \times 10^{-11} \, C $
  • $ 3 \times 10^{-11} \, C $
  • $ 5 \times 10^{-11} \, C $
  • $ 9 \times 10^{-11} \, C $
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The Correct Option is A

Solution and Explanation

$E = \frac{kq}{r^{2}} $
$ q = \frac{Er^{2}}{k} = \frac{2 \times\left(0.3\right)^{2}}{9\times10^{9}} = \frac{2\times9 \times10^{-2} \times10^{-9}}{9}$
$ \therefore q = 2 \times10^{-11}\, C$
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Concepts Used:

Electric Field

Electric Field is the electric force experienced by a unit charge. 

The electric force is calculated using the coulomb's law, whose formula is:

\(F=k\dfrac{|q_{1}q_{2}|}{r^{2}}\)

While substituting q2 as 1, electric field becomes:

 \(E=k\dfrac{|q_{1}|}{r^{2}}\)

SI unit of Electric Field is V/m (Volt per meter).