Y દિશામાં 1 N/C નું વિદ્યુતક્ષેત્ર પ્રવર્તે છે. XY સમતલમાં મૂકેલા 1 m બાજુવાળા ચોરસમાંથી પસાર થતું વિદ્યુત ફ્લક્સ ________ છે.

A \(1.0 \frac{ Nm ^2}{ C }\)
B \(10.0 \frac{ Nm ^2}{ C }\)
C \(2.0 \frac{ Nm ^2}{ C }\)
D શૂન્ય

Verified Solution

Answer & Solution

Correct Answer

(D) શૂન્ય

Step-by-step Solution

Detailed explanation

(D)
અહીં, ચોરસ XY સમતલમાં છે. તેથી તેનો ક્ષેત્રફળ સદિશ તેને લંબ દિશામાં, એટલે કે Z-અક્ષની દિશામાં હશે.
\(\begin{array}{l}\overrightarrow{ A }=1^2 \cdot \hat{k} \\ \phi=\overrightarrow{ A } \cdot \overrightarrow{ E } \\ \phi=(1)^2 \hat{k} \cdot(1) \hat{j} \\ \phi=0 \quad(\hat{k} \cdot \hat{j}=0)\end{array}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From GUJCET

Explore more questions on app