a point charge is placed 100 m from a 6 μc charge generating an electric field. what is the strength of the…

a point charge is placed 100 m from a 6 μc charge generating an electric field. what is the strength of the electric field on the point charge? (round to the nearest whole number.)

a point charge is placed 100 m from a 6 μc charge generating an electric field. what is the strength of the electric field on the point charge? (round to the nearest whole number.)

Answer

Explanation:

Step1: Recall electric - field formula

The formula for the electric field due to a point charge is $E = k\frac{Q}{r^{2}}$, where $k = 9\times10^{9}\ N\cdot m^{2}/C^{2}$, $Q$ is the source - charge, and $r$ is the distance from the source - charge to the point where the electric field is measured.

Step2: Convert the charge to SI units

Given $Q = 6\ \mu C=6\times 10^{- 6}\ C$ and $r = 100\ m$.

Step3: Substitute values into the formula

$E=(9\times10^{9}\ N\cdot m^{2}/C^{2})\times\frac{6\times 10^{-6}\ C}{(100\ m)^{2}}$. First, calculate the numerator: $9\times10^{9}\times6\times 10^{-6}=54\times10^{3}=54000$. Then, calculate the denominator: $(100)^{2}=10000$. So, $E=\frac{54000}{10000}\ N/C = 5.4\ N/C$.

Step4: Round to the nearest whole number

Rounding $5.4$ to the nearest whole number gives $5\ N/C$.

Answer:

$5$