Question

For a uniform electric field the flux is given by \Phi = E · A = EA cos 𝜃. The maximum value for the flux occurs when 𝜃 = 0. This means that the field is in the same direction as the area vector. The area vector is defined as having its direction perpendicular to the area. Therefore, we calculate the field strength at this point by the following. E = \Phi max A = \Phi max 𝜋r2

Name: for a uniform electric field the flux is given by phi e a ea cos the maximum value for the flux occurs when 0 this means that the field is in the same direction as the area vector the area v 17976
Uploaded: 2023-09-28T12:06:39-08:00
Duration: 2 min 27 s
Channel: Supratim Pal
Description: for a uniform electric field the flux is given by phi e a ea cos the maximum value for the flux occurs when 0 this means that the field is in the same direction as the area vector the area v 17976

          For a uniform electric field the flux is given by
\Phi  = E · A = EA cos 𝜃.
The maximum value for the flux occurs when 𝜃 = 0. This means that the field is in the same direction as the area vector. The area vector is defined as having its direction perpendicular to the area. Therefore, we calculate the field strength at this point by the following.
E  =  
\Phi max
A
 = 
\Phi max
𝜋r2

Added by Mary N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

09/28/2023

Step 1

The flux \(\Phi\) for a uniform electric field is given by the formula: \[ \Phi = E \cdot A = EA \cos \theta \] where \(E\) is the electric field strength, \(A\) is the area, and \(\theta\) is the angle between the electric field vector and the area vector. Show more…

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For a uniform electric field the flux is given by \Phi = E · A = EA cos 𝜃. The maximum value for the flux occurs when 𝜃 = 0. This means that the field is in the same direction as the area vector. The area vector is defined as having its direction perpendicular to the area. Therefore, we calculate the field strength at this point by the following. E = \Phi max A = \Phi max 𝜋r2