Find the potential function of the field F(x,y,z)=(cos(x)sin(y)+x^2z)i+\cos(y)sin(x)j+(x^3/3+sin(z))k.

siotaody

siotaody

Answered question

2022-12-03

Find the potential function of the field F ( x , y , z ) ( cos ( x ) sin ( y ) + x 2 z ) i + cos ( y ) sin ( x ) j + ( x 3 3 + sin ( z ) ) k

Answer & Explanation

HaseAnnenly91q

HaseAnnenly91q

Beginner2022-12-04Added 4 answers

Given F ( x , y , z ) = ( cos ( x ) sin ( y ) + x 2 z ) i + ( cos ( y ) sin ( x ) ) j
Compare equation we get
d ϕ d z = x 3 3 + sin ( z )
According to question
F ( y , z ) = F 1 ( z )

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