First slide

Force on a current carrying wire placed in a magnetic field

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)

Moderate

A

increases with time
B

decreases with time
C

does not very with time
D

Passes through a maximum

Solution

Initially, $B = 0, i.e., i_{2} B = 0$
FinaIly $i_{2} = 0, i . e ., i_{2} B = 0$
In between $i_{2} \neq 0 and B \neq 0$
So, the product passes through a maximum value.

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