The current density in a conducting medium is given by J → = 40 p 2 + 1 a z ^ m A / m 2 The net current crossing the circular disc (0&lt;p&lt;5m) in z = 2 plane is ____ mA. (Answer upto 2 decimal places)

Question

The current density in a conducting medium is given by       J    →    =      40                  p        2            +      1                          a        z            ^        m  A      /        m    2  The net current crossing the circular disc (0&amp;lt;p&amp;lt;5m) in z = 2 plane is ____ mA. (Answer upto 2 decimal places)

rangiranitlh9 · Accepted Answer

Step 1Given:   I  =      ∫    S        J    →    .            d      s        →    =      ∫          ϕ      =      0              2      π            ∫          0              5            40                  p        2            +      1        p  d  p  d  ϕ mA  =  80  π      ∫    0    5        p                  p        2            +      1        d      ρ    m  A  =            80      π        2    ln  ⁡  (      p    2    +  1  )            |        0    5    m  A  =  40  π  [  ln  ⁡  (  26  )  −  ln  ⁡  (  1  )  ]Step 2  =  40  π  ×  3.258  =  409.42  m  A

The current density in a conducting medium is given by vec J= (40)/(p^2+1)a_z (mA)/m^2

Answered question

Answer & Explanation

New Questions in Pre-Algebra