What is the magnitude of the intensity at a point which is 0.3 m from a 10 µC charge? (Show your solution)
Given,
Distance (d) = 0.3m
Charge (Q)=10μC=10×10−6C(Q)=10 \mu C =10\times 10^{-6}C(Q)=10μC=10×10−6C
=10−5C=10^{-5}C=10−5C
Hence, the required electric field (E→)=Q4πϵod2(\overrightarrow{E}) = \frac{Q}{4\pi \epsilon_o d^2}(E)=4πϵod2Q
Now, substituting the values,
⇒E→=10−5×9×1090.32N/C\Rightarrow \overrightarrow{E}=\frac{10^{-5}\times 9\times 10^{9}}{0.3^2}N/C⇒E=0.3210−5×9×109N/C
⇒E→=9×1040.09N/C\Rightarrow \overrightarrow{E}=\frac{9\times 10^4}{0.09}N/C⇒E=0.099×104N/C
E→=1×106N/C\overrightarrow{E}=1\times 10^6 N/CE=1×106N/C
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