Consider an electric field $\vec {E}=E_0\hat {x},~\text {where }E_0$, is a constant. The flux through the shaded area (as shown in the figure) due to this field is

(a, 0, a) 0,0,0) (0,a,0) y

\frac{E_{0} a^{2}}{\sqrt{2}}

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\sqrt{2} E_{0} a^{2}

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E_{0} a^{2}

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2 E_{0} a^{2}

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Solution

The correct option is C $E_{0} a^{2}$
$\to A = \frac{1}{2} \times_{1} \times_{2}$

$= \frac{1}{2} (a^i + a^j + a^k) \times (a^i - a^j + a^k)$

$= ϕ = \to E . \to A {\to E is constant}$

$= E_{0} a^{2}$

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Consider an electric field \(\vec {E}=E_0\hat {x},~\text {where }E_0\), is a constant. The flux through the shaded area (as shown in the figure) due to this field is (a, 0, a) 0,0,0) (0,a,0) y

The correct option is C E0a2→A=12×→d1×→d2 =12(a^i+a^j+a^k)×(a^i−a^j+a^k) =ϕ=→E.→A{→E is constant} =E0a2

Consider an electric field \(\vec {E}=E_0\hat {x},~\text {where }E_0\), is a constant. The flux through the shaded area (as shown in the figure) due to this field is

(a, 0, a) 0,0,0) (0,a,0) y

The correct option is C $E_{0} a^{2}$
$\to A = \frac{1}{2} \times_{1} \times_{2}$

$= \frac{1}{2} (a^i + a^j + a^k) \times (a^i - a^j + a^k)$

$= ϕ = \to E . \to A {\to E is constant}$

$= E_{0} a^{2}$