Question #163962

What is the magnitude of the intensity at a point which is 0.3 m from a 10 µC charge? (Show your solution)


1
Expert's answer
2021-02-15T17:03:04-0500

Given,

Distance (d) = 0.3m

Charge (Q)=10μC=10×106C(Q)=10 \mu C =10\times 10^{-6}C

=105C=10^{-5}C

Hence, the required electric field (E)=Q4πϵod2(\overrightarrow{E}) = \frac{Q}{4\pi \epsilon_o d^2}

Now, substituting the values,

E=105×9×1090.32N/C\Rightarrow \overrightarrow{E}=\frac{10^{-5}\times 9\times 10^{9}}{0.3^2}N/C


E=9×1040.09N/C\Rightarrow \overrightarrow{E}=\frac{9\times 10^4}{0.09}N/C


E=1×106N/C\overrightarrow{E}=1\times 10^6 N/C


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