Question 391: Electrostats & Capacitance

Question

An electric field is given by $$(6 \hat{i}+5 \hat{j}+3 \hat{k}) \mathrm{N} / \mathrm{C}$$. The electric flux through a surface area $$30 \hat{i} \mathrm{~m}^2$$ lying in YZ-plane (in SI unit) is :

Accepted Answer

$$\begin{aligned}
& \overrightarrow{\mathrm{E}}=6 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}+3 \hat{\mathrm{k}} \
& \overrightarrow{\mathrm{A}}=30 \hat{\mathrm{i}} \
& \phi=\overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{A}} \
& \phi=(6 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}) \cdot(30 \hat{\mathrm{i}}) \
& \phi=6 	imes 30=180
\end{aligned}$$

Answer

60

Answer

90

Answer

180

Answer

150

Electrostats & Capacitance

An electric field is given by $(6 \hat{i}+5 \hat{j}+3 \hat{k}) \mathrm{N} / \mathrm{C}. The electric flux through a surface area 30 \hat{i} \mathrm{~m}^2$ lying in YZ-plane (in SI unit) is :

Choose the correct answer: