Question
A coil of wire having finite 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 starts flowing through the coil. If I1 is the current induced in the ring, and B is the magnetic field at the axis of the coil due to I2, then as a function of time (t> 0), the product I2 (t) B(t)
Answer: Option D
:
D
Using k1,k2 etc, as different constants.
I1(t)=k1[1−e−tτ],B(t)=k2I1(t)
I2(t)=k3dB(t)dt=k4e−tτ
∴l2(t)B(t)=k5[1−e−tτ][e−tτ]
This quantity is zero for t=0and t=∞ and positive for other value of t. It must , therefore, pass through a maximum.
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:
D
Using k1,k2 etc, as different constants.
I1(t)=k1[1−e−tτ],B(t)=k2I1(t)
I2(t)=k3dB(t)dt=k4e−tτ
∴l2(t)B(t)=k5[1−e−tτ][e−tτ]
This quantity is zero for t=0and t=∞ and positive for other value of t. It must , therefore, pass through a maximum.
Was this answer helpful ?
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