find the total charge enclosed inside a volume of 1.5×10^(−9) located at the origin if D=e^(−x) sin(y)a_x ^� −(e^(−x) cos(y))a


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Question Number 170297 by ali009 last updated on 19/May/22

$f i n d t h e t o t a l c h a r g e e n c l o s e d i n s i d e a$ $v o l u m e o f 1.5 \times 10^{- 9} l o c a t e d a t t h e o r i g i n$ $i f D = e^{- x} s i n (y) {\hat{a}}_{x} - (e^{- x} c o s (y)) {\hat{a}}_{y} + 2 z \hat{a z} C / m^{2}$
	Answered by ali009 last updated on 20/May/22

	$p v = ▽ . \vec{D}$ $p v = - e^{- x} s i n (y) + e^{- x} s i n (y) + 2 = 2$ $Q_{e n c} = \int_{v} p v . d v$ $Q_{e n c} = p v \int d v$ $Q_{e n c} = p v . v = 1.5 \times 10^{- 9} \times 2 = 3 n C$
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