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Q.

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)

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a

increases with time

b

decreases with time

c

does not very with time

d

Passes through a maximum

answer is D.

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Detailed Solution

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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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)