Question

A square of side x m lies in the x-y plane in a region , where the magnetic field is given by $\overline{B}$=$B_0(3\hat{i}+4\hat{j}+5\hat{k})T$, where $B_o$ is constant. The magnitude of flux passing through the square is then

• A. $5B_0{x}^2$Wb
• B. $3B_0{x}^2$Wb
• C. $2B_0{x}^2$Wb
• D. $B_0{x}^2$Wb

Answer 1

Answer: (A)

$5B_0{x}^2$Wb

Here, $\overline{A}=x^2\hat{k}{m}^2$ and $\hat{B}=B_0(3\hat{i}+4\hat{j}+5\hat{k})T$

as $\varphi =\overline{B}.\overline{A}=B_0(3\hat{i}+4\hat{j}+5\hat{k}).x^2\hat{k}$

$\varphi =5B_0{x}^{2}Wb$