In a coil of resistance $10 \Omega$, the induced current developed by changing magnetic flux through it, is…

In a coil of resistance $10 \Omega$, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in weber is
  1. 8
  2. 2
  3. 6
  4. 4

Solution

$\begin{aligned} I & =\left|\frac{1}{R} \frac{d \phi}{d t}\right| \\ |d \phi| & =|I R d t| \\ d \phi & =(\text { area of triangle }) \times R \\ & =\left(\frac{1}{2} \times 4 \times 0.1\right) \times 10=2 \mathrm{~Wb} \end{aligned}$ :

Asked in: NEET 2012 (Mains)

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