A) \[2{{B}_{0}}{{\text{L}}^{2}}\text{Wb}\]
B) \[3{{B}_{0}}{{\text{L}}^{2}}\text{Wb}\]
C) \[4{{B}_{0}}{{\text{L}}^{2}}\text{Wb}\]
D) \[\sqrt{29}{{B}_{0}}{{\text{L}}^{2}}\text{Wb}\]
Correct Answer: C
Solution :
| Option [c] is correct. |
| Explanation: Magnetic flux is defined as the total |
| Number of magnetic lines of force passing normally through an area placed in a magnetic field and is equal to the magnetic flux linked with that area. |
| Square lies in X-Y plane in \[\vec{B}\]so \[\vec{A}\]=\[{{L}^{2}}\hat{k}\] |
| Q=B.A |
| = \[{{B}_{0}}\text{ (}2\hat{i}+3\hat{j}+4\hat{k}).({{L}^{2}}\ \hat{k})\] |
| =\[{{B}_{0}}\text{ }\!\![\!\!\text{ }2\times \hat{i}\hat{k}+3\times \hat{j}\hat{k}+4\times \hat{k}\hat{k}\ ]\] |
| =\[{{B}_{0}}{{L}^{2}}[0+0+4]\] |
| =\[4{{B}_{0}}{{L}^{2}}Wb\] |
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