Inductive charging is used to wirelessly charge electronic devices ranging from toothbrushes to cell phones. Suppose the base unit of an inductive charger produces a 1.50 ✕ 10−3 T magnetic field. Varying this magnetic field magnitude changes the flux through a 17.0-turn circular loop in the device, creating an emf that charges its battery. Suppose the loop area is 3.75 ✕ 10−4 m2 and the induced emf has an average magnitude of 5.50 V. Calculate the time required (in s) for the magnetic field to decrease to zero from its maximum value.

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Asked Dec 3, 2019
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Inductive charging is used to wirelessly charge electronic devices ranging from toothbrushes to cell phones. Suppose the base unit of an inductive charger produces a 1.50 ✕ 10−3 T magnetic field. Varying this magnetic field magnitude changes the flux through a 17.0-turn circular loop in the device, creating an emf that charges its battery. Suppose the loop area is 3.75 ✕ 10−4 m2 and the induced emf has an average magnitude of 5.50 V. Calculate the time required (in s) for the magnetic field to decrease to zero from its maximum value.

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Step 1
The magnitude of induced emf in the circular loop is given as
ав
ɛ = NA-
dt
The time required for the magnetic field to decrease to zero from its
maximum value is given by
ав
dt = NA-
(1.50×10³T)
dt = (17.0)(3.75×10*m²).
5.50V
dt = 1.738×10°s
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The magnitude of induced emf in the circular loop is given as ав ɛ = NA- dt The time required for the magnetic field to decrease to zero from its maximum value is given by ав dt = NA- (1.50×10³T) dt = (17.0)(3.75×10*m²). 5.50V dt = 1.738×10°s

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Physics

Electromagnetic Induction

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