A surface has the area vector A = (10i + 8j) m2. Find the flux of a uniform electric field through the area if the field is E = 7i N/C

Respuesta :

Answer:

The value is [tex]\phi = 70 N\dot m^2 / C[/tex]

Explanation:

From the question we are told that

     The area vector is  [tex]\vec A = (10i + 8j) \ m^2[/tex]

     The  electric field is  [tex]E = 7 i \ N/C[/tex]

Generally the flux is  mathematically represented as  

        [tex]\phi = \vec E * \vec A[/tex]

=>      [tex]\phi = 7i * ( 10 \ i + 8 \ j )[/tex]

=>       [tex]\phi = (7 * 10 )\ i[/tex]  

Note  [tex]i \cdot j = 0[/tex]

=>      [tex]\phi = 70 N\dot m^2 / C[/tex]