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A coil 4.00 cm in radius, containing 500 turns, is placed
Chapter 29, Problem 29.6(choose chapter or problem)
A coil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to \(B=(0.0120 \mathrm{~T} / \mathrm{s}) t+\left(3.00 \times 10^{-5} \mathrm{~T} / \mathrm{s}^{4}\right) t^{4}\). The coil is connected to a \(600-\Omega\) resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.
(a) Find the magnitude of the induced emf in the coil as a function of time.
(b) What is the current in the resistor at time t = 5.00 s?
Questions & Answers
QUESTION:
A coil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to \(B=(0.0120 \mathrm{~T} / \mathrm{s}) t+\left(3.00 \times 10^{-5} \mathrm{~T} / \mathrm{s}^{4}\right) t^{4}\). The coil is connected to a \(600-\Omega\) resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.
(a) Find the magnitude of the induced emf in the coil as a function of time.
(b) What is the current in the resistor at time t = 5.00 s?
ANSWER:Step 1 of 4
A coil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to .
The coil is connected to a 600-? resistor, and its plane is perpendicular to the magnetic field.
The magnitude of the induced emf in the coil as a function of time can be found by applying Faraday’s law = N
where is number of turns of the coil
Magnetic flux,=
=
;
Area of the coil=
The current in the resistor at time t = 5.00 s can be found by first calculating the magnitude of emf() at t = 5 s and then using the equation
=
we can find the current.