An electric field given by vecE=4 hati-(3 y2+2) hatj pierces Gaussian's cube of side 1 m placed at origin such that its three sides represents x, y and z axes. The net charge enclosed within the cube is given by -n e 0. Find the value of n.

Question

An electric field given by vecE=4 hati-(3 y2+2) hatj pierces Gaussian's cube of side 1 m placed at origin such that its three sides represents x, y and z axes. The net charge enclosed within the cube is given by -n e 0. Find the value of n. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Net flux in x-direction =0 Net flux in y-direction =-A[3(1)2+2]+A[3(0)+2] ⇒ q=-3 ε0 (. As .A=1 m 2)

Q. An electric field given by $E = 4 \hat{i} - (3 y^{2} + 2) \hat{j}$ pierces Gaussian's cube of side $1 m$ placed at origin such that its three sides represents $x, y$ and $z$ axes. The net charge enclosed within the cube is given by $- n e_{0}$ . Find the value of $n$ .

Net flux in $x$ -direction $= 0$
Net flux in $y$ -direction $= - A [3 (1)^{2} + 2] + A [3 (0) + 2]$
$\Rightarrow q = - 3 ε_{0} ($ As $A = 1 m^{2})$

Q. An electric field given by E=4i^−(3y2+2)j^​ pierces Gaussian's cube of side 1m placed at origin such that its three sides represents x,y and z axes. The net charge enclosed within the cube is given by −ne0​. Find the value of n.

Net flux in x-direction =0 Net flux in y-direction =−A[3(1)2+2]+A[3(0)+2] ⇒q=−3ε0​( As A=1m2)

Q. An electric field given by $E = 4 \hat{i} - (3 y^{2} + 2) \hat{j}$ pierces Gaussian's cube of side $1 m$ placed at origin such that its three sides represents $x, y$ and $z$ axes. The net charge enclosed within the cube is given by $- n e_{0}$ . Find the value of $n$ .

Net flux in $x$ -direction $= 0$
Net flux in $y$ -direction $= - A [3 (1)^{2} + 2] + A [3 (0) + 2]$
$\Rightarrow q = - 3 ε_{0} ($ As $A = 1 m^{2})$