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GUJCET · Physics · Electric Charges and Fields
There exists an electric field of 1 N/C along Y directions. The flux passing through the square of 1 m placed in XY plane inside the electric field is ________.
- A \(1.0 \frac{ Nm ^2}{ C }\)
- B \(10.0 \frac{ Nm ^2}{ C }\)
- C \(2.0 \frac{ Nm ^2}{ C }\)
- D zero
Answer & Solution
Correct Answer
(D) zero
Step-by-step Solution
Detailed explanation
(D)
Here, the square is in the XY plane. Consequently its area will be given in the direction perpendicular to it i.e. Z-axis.
\(\begin{array}{l}\overrightarrow{ A }=1^2 \cdot \hat{k} \\ \phi=\overrightarrow{ A } \cdot \overrightarrow{ E } \\ \phi=(1)^2 \hat{k} \cdot(1) \hat{j} \\ \phi=0 \quad(\hat{k} \cdot \hat{j}=0)\end{array}\)
Here, the square is in the XY plane. Consequently its area will be given in the direction perpendicular to it i.e. Z-axis.
\(\begin{array}{l}\overrightarrow{ A }=1^2 \cdot \hat{k} \\ \phi=\overrightarrow{ A } \cdot \overrightarrow{ E } \\ \phi=(1)^2 \hat{k} \cdot(1) \hat{j} \\ \phi=0 \quad(\hat{k} \cdot \hat{j}=0)\end{array}\)
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