A coil of wire having inductance and resistance has a conducting ring placed coaxially within it The coil is connected to a battery at time t $$=$$ $$0$$' so that a $$time-dependent$$ current i (t) starts flowing through the coil: If $$i2$$ (t) is the magnetic field at the axis of the coil due to $$i1$$ (t) then as a function of time (t$$ $$0)' the product $$i2$$ (t) $$B(t)$$

Question

A coil of wire having inductance and resistance has a conducting ring placed coaxially within it The coil is connected to a battery at time t $$=$$ $$0$$' so that a $$time-dependent$$ current i (t) starts flowing through the coil: If $$i2$$ (t) is the magnetic field at the axis of the coil due to $$i1$$ (t) then as a function of time (t$$ >$$0)' the product $$i2$$ (t) $$B(t)$$

Infinity Learn · Accepted Answer

Initially, $$B=0$$, i.e. ,$$i2B=0FinaIly$$ $$i2=0$$,i.e.,$$i2B=0In$$ $$betweeni2$$≠$$0$$ and B≠$$0So$$, the product passes through a maximum value.

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