In a coil of resistance \[100\,\Omega ,\] a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is: [JEE Main 2017] |
A) 250 Wb
B) 275 Wb
C) 200 Wb
D) 225 Wb
Correct Answer: A
Solution :
[a] |
\[q=\frac{\Delta \text{o}|}{R}\] |
\[\Delta \text{o }\!\!|\!\!\text{ }=\]change in flux |
\[q=\int_{{}}^{{}}{I\,dt}\] |
= Area of current-time graph |
\[=\frac{1}{2}\times 10\times 0.5=2.5\]coloumb |
\[q=\frac{\Delta \text{o}|}{R}\] |
\[\Delta \text{o }\!\!|\!\!\text{ =2}\text{.5}\times 100=250\,Wb\] |
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