Question
In a region of space there is an electric field $\vec{E}$ that is in the $z$ -direction and that has magnitude $E=(964 \mathrm{N} /(\mathrm{C} \cdot \mathrm{m})) x$ Find the flux for this field through a square in the $x y$ -plane at $z=0$ and with side length 0.350 $\mathrm{m} .$ One side of the square is along the $+x$ -axis and another side is along the $+y$ -axis.
Step 1
The electric field at the bottom of the square (where $x=0$) is $E_1 = 964 \times 0 = 0 \, \mathrm{N/C}$. The electric field at the top of the square (where $x=0.350 \, \mathrm{m}$) is $E_2 = 964 \times 0.350 = 337.4 \, \mathrm{N/C}$. Show more…
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In a region of space there is an electric field $\overrightarrow{\boldsymbol{E}}$ that is in the $z$ -direction and that has magnitude $E=[964 \mathrm{~N} /(\mathrm{C} \cdot \mathrm{m})] x$. Find the flux for this field through a square in the $x y$ -plane at $z=0$ and with side length $0.350 \mathrm{~m}$. One side of the square is along the $+x$ -axis and another side is along the $+y$ -axis.
In a region of space there is an electric field $\overrightarrow{E}$ that is in the z-direction and that has magnitude $E =$ [964 N/(C $\cdot$ m)]$x$. Find the flux for this field through a square in the $xy$-plane at $z =$ 0 and with side length 0.350 m. One side of the square is along the $+x$-axis and another side is along the $+y$-axis.
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