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Question: The electric field due to a charge at a distance of 3 m from it is 500 N/coulomb. The magnitude of t...

The electric field due to a charge at a distance of 3 m from it is 500 N/coulomb. The magnitude of the charge is [14πε0=9×109Nm2coulomb2]\left\lbrack \frac{1}{4\pi\varepsilon_{0}} = 9 \times 10^{9}\frac{N - m^{2}}{coulomb^{2}} \right\rbrack

A

2.5 micro-coulomb

B

2.0 micro-coulomb

C

1.0 micro-coulomb

D

0.5 micro-coulomb

Answer

0.5 micro-coulomb

Explanation

Solution

E=9×109×Qr2500=9×109×Q(3)2E = 9 \times 10^{9} \times \frac{Q}{r^{2}} \Rightarrow 500 = 9 \times 10^{9} \times \frac{Q}{(3)^{2}}Q = 0.5 μC