$B=\frac{\mu_{0}}{4 \pi} \frac{2 i}{R}=\frac{\mu_{0} i}{2 R} \dots(2)$
From $(1)$ and $(2)$
$\phi=B A=\frac{\mu_{0} i}{2 R} \cdot \pi r^{2}=\frac{\mu_{0} \pi r^{2}}{2 R} \cdot \frac{e \omega}{2 \pi}$
$e=B A=\frac{\mu_{0} r^{2} e}{4 \pi} \frac{d \omega}{d t}=\frac{\mu_{0} r^{2} e \alpha}{4 R}$
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Statement $I$ : In an $LCR$ series circuit, current is maximum at resonance.
Statement $II$ : Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source.
In the light of the above statements, choose the correct from the options given below :
$V _{ AM }=10\left[1+0.4 \cos \left(2 \pi \times 10^{4} t \right)\right] \cos \left(2 \pi \times 10^{7} t \right) \text {. }$
The total bandwidth of the amplitude modulated wave is
