Answer:
The appropriate answer is "396 N/C".
Explanation:
The give values are:
Rectangular surface,
[tex]\Phi_e=396 \ N.m^2/C[/tex]
[tex]a = 2 \ m[/tex]
[tex]b = 1 \ m[/tex]
Angle,
[tex]\theta =\frac{\pi}{3} \ radian[/tex]
Now,
The area of rectangle (A) will be:
= [tex]a\times b[/tex]
= [tex]2\times 1[/tex]
= [tex]2 \ m^2[/tex]
hence,
The electric field strength will be:
⇒ [tex]\Phi_e=E.A Cos \theta[/tex]
or,
⇒ [tex]E=\frac{\Phi_e}{ACos \theta}[/tex]
On putting the given values, we get
⇒ [tex]=\frac{396}{2\times Cos(\frac{\pi}{3} )}[/tex]
⇒ [tex]=\frac{396}{2\times 0.5}[/tex]
⇒ [tex]=\frac{396}{1}[/tex]
⇒ [tex]=396 \ N/C[/tex]