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A large circular loop of radius math xmlns=http://www.w3.org/1998/Math/MathMLmn1/mn/math metre has total resistance math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn4/mnmo /momi mathvariant=normalΩ/mi/math. A variable current is flowing through the loop. The current at any instant is given by equation \( =t A \), where \( t \) is time in second. A very small circular loop of radius \( 1 \mathrm{~cm} \) having resistance math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn3/mnmo./momn14/mnmo /momi mathvariant=normalΩ/mi/math is placed coaxially with the larger loop at a distance of \( \sqrt{3} \) metre from the centre of larger loop. If induced current in smaller loop is \( \frac{\mu_{0} x \times 10^{-4}}{16} \) ampere then, find \( x \).
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