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I have one question. What is Exact definition of the Vector Field Form Of an Eletric Field?? for exmple.. Vector Field v^ (x,y,z)=yze_1 ^ +xze_2 ^ +xye_3 ^ i mean in physics They do all sorts of calculations using the Electrical Field but i can′t understand it cus it′s such a Abstract concept ex...▽^ ×E^ =−(∂B^ /∂t) or 𝚽=∮_A D∙dA=Q_0 ...etc help me

$$\mathrm{I}\:\mathrm{have}\:\mathrm{one}\:\mathrm{question}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{Exact}\:\mathrm{definition}\:\mathrm{of}\:\mathrm{the}\:\mathrm{Vector}\:\mathrm{Field}\:\mathrm{Form}\:\mathrm{Of}\:\mathrm{an}\:\mathrm{Eletric}\:\mathrm{Field}?? \\ $$$$\mathrm{for}\:\mathrm{exmple}.. \\ $$$$\mathrm{Vector}\:\mathrm{Field}\: \\ $$$$\hat {\boldsymbol{\mathrm{v}}}\left({x},{y},{z}\right)={yz}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{1}} +{xz}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{2}} +{xy}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{3}} \\ $$$$\mathrm{i}\:\mathrm{mean}\:\mathrm{in}\:\mathrm{physics}\:\mathrm{They}\:\mathrm{do}\:\mathrm{all}\:\mathrm{sorts}\:\mathrm{of}\:\mathrm{calculations} \\ $$$$\mathrm{using}\:\mathrm{the}\:\mathrm{Electrical}\:\mathrm{Field} \\ $$$$\mathrm{but}\:\mathrm{i}\:\mathrm{can}'\mathrm{t}\:\mathrm{understand}\:\mathrm{it} \\ $$$$\mathrm{cus}\:\mathrm{it}'\mathrm{s}\:\mathrm{such}\:\mathrm{a}\:\mathrm{Abstract}\:\mathrm{concept} \\ $$$$\mathrm{ex}...\hat {\bigtriangledown}×\hat {\boldsymbol{\mathrm{E}}}=−\frac{\partial\hat {\boldsymbol{\mathrm{B}}}}{\partial{t}}\:\:\mathrm{or}\:\boldsymbol{\Phi}=\oint_{{A}} \boldsymbol{\mathrm{D}}\centerdot\mathrm{d}\boldsymbol{\mathrm{A}}={Q}_{\mathrm{0}} ...\mathrm{etc} \\ $$$$\mathrm{help}\:\mathrm{me} \\ $$

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Question Number 170297    Answers: 1   Comments: 0

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_y ^ +2za^ z C/m^2

$$\:{find}\:{the}\:{total}\:{charge}\:{enclosed}\:{inside}\:{a}\: \\ $$$${volume}\:{of}\:\mathrm{1}.\mathrm{5}×\mathrm{10}^{−\mathrm{9}} \:{located}\:{at}\:{the}\:{origin} \\ $$$${if}\:{D}={e}^{−{x}} {sin}\left({y}\right)\hat {{a}}_{{x}} −\left({e}^{−{x}} {cos}\left({y}\right)\right)\hat {{a}}_{{y}} +\mathrm{2}{z}\hat {{a}z}\:{C}/{m}^{\mathrm{2}} \\ $$

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a line charges of charge density pl=4x^3 −x+3mc/m laying along the x−axis. determine the total charge if the line charge extends from x=2 and x=6 m

$${a}\:{line}\:{charges}\:{of}\:{charge}\:{density}\: \\ $$$${pl}=\mathrm{4}{x}^{\mathrm{3}} −{x}+\mathrm{3}{mc}/{m}\:{laying}\:{along}\:{the}\:{x}−{axis}. \\ $$$${determine}\:{the}\:{total}\:{charge}\:{if}\:{the}\:{line}\:{charge} \\ $$$${extends}\:{from}\:{x}=\mathrm{2}\:{and}\:{x}=\mathrm{6}\:{m} \\ $$

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What is the general expression of the divergence(divV^⇢ )

$${What}\:{is}\:{the}\:{general}\:{expression}\:{of}\:{the}\:{divergence}\left({div}\overset{\dashrightarrow} {{V}}\right) \\ $$

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tanθ = ((Σ F_y )/(Σ F_x ))

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{tan}\theta\:=\:\:\frac{\Sigma\:\mathrm{F}_{\mathrm{y}} }{\Sigma\:\mathrm{F}_{\mathrm{x}} } \\ $$$$ \\ $$

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