Question

What must be the charge of a particle having E = 81 N/C at 49 mm from the said particle? Express in Coulombs. Use k = 9.0 x 109 kg⋅m3⋅s−2⋅C−2​

Answer 1

`\text{Given that,}\\\\\text{Electric field strength,}~ E = 81 ~NC^(-1) \\ \\ \text{Distance,}~ d= 49mm = 49 * 10^(-3) ~m\\ \\\text{Coulomb's constant,}~ k = 9* 10^9 ~Nm^2 C^(-2)\\\\ \\E= k(q)/(d^2) \\\\\implies q=(Ed^2)/(k) = (81 * \left(49 * 10^(-3)\right)^2)/(9* 10^9) = 2.1609* 10^(-11) ~C\\\\\\\text{The charge of the particle is}~2.1609* 10^(-11) ~C`