Electric potential in a particular region of space is V = 12 x − 3 x 2 y + 2 y z 2 .A point's electric field strength P(1m, 0, -2m) in N/C is

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Electric potential in a particular region of space is   V  =  12  x  −  3      x    2    y  +  2  y      z    2   .A point&#039;s electric field strength P(1m, 0, -2m) in N/C is

nuleRKh · Accepted Answer

We have, an electric potential  V  =  12  x  −  3      x    2    y  +  2  y      z    2    ∴      E          x        =            δ      V              δ      x        =  12  −  6  x  yand,       E          y        =            δ      V              δ      y        =  −  3      x    2    +  2      z    2  also,       E          z        =            δ      V              δ      z        =  4  y  z  ∴ E at (1,0,-2) provided by      E          x        =  12  −  6  ×  1  ×  0  =  12      E          y        =  −  3  ×      1          2        +  2  ×  (  −  2      )    2    =  5      E          z        =  4  ×  0  ×  (  −  2  )  =  0  ∴      E    →    =  12            i      ^        +  5            j      ^        +  0            k      ^        =  12            i      ^        +  5            j      ^      and,       |        E    →        |    =            12      2        +          5      2        =  13  N      /    C

Electric potential in a particular region of space is V=12x-3x^2 y+2yz^2. A point's electric field strength P(1m, 0, -2m) in N/C is

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