> Q. A square of side $x ,m$ lies in the $x$-$y$ plane in a region, where the magnetic field is given by $vec{B}=B_{0}left(3hat{i}+4hat{j}+5hat{k}right)T$, where $B_{0}$ is constant. The magnitude of flux passing through the square is – LIVE ANSWER TODAY

Q. A square of side $x ,m$ lies in the $x$-$y$ plane in a region, where the magnetic field is given by $vec{B}=B_{0}left(3hat{i}+4hat{j}+5hat{k}right)T$, where $B_{0}$ is constant. The magnitude of flux passing through the square is

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A square of side $x ,m$ lies in the $x$-$y$ plane in a region, where the magnetic field is given by $vec{B}=B_{0}left(3hat{i}+4hat{j}+5hat{k}right)T$, where $B_{0}$ is constant. The magnitude of flux passing through the square is

Solution:

Here, $ vec{A}=x^{2},hat{k},m^{2}$ and $vec{B}=B_{0}left(3hat{i}+4hat{j}+5hat{k}right)T$

As $ phi=vec{B}cdotvec{A}=B_{0}left(3hat{i}+4hat{j}+5hat{k}right)cdot x^{2},hat{k}$

$therefore phi=5B_{0},x^{2},Wb$

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