Inductive battery chargers, which allow transfer of electrical power without the need for exposed electrical contacts, a

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Inductive Battery Chargers Which Allow Transfer Of Electrical Power Without The Need For Exposed Electrical Contacts A 1 (96.76 KiB) Viewed 21 times

Inductive battery chargers, which allow transfer of electrical power without the need for exposed electrical contacts, are commonly used in appliances that need to be safely immersed in water, such as electric toothbrushes. Consider the following simple model for the power transfer in an inductive charger. Within the charger's plastic base, a primary coil of diameter d with n turns per unit length is connected to a home's ac wall outlet so that a current i= 10 sin (2nft) flows within it. When the toothbrush is sea ted on the base, an N-turn secondary coil inside the toothbrush has a diameter only slightly greater than d and is centered on the primary. (a) use the theory of electromagnetic induction to explain how it works. (b)Find an expression for the emf induced in the secondary coil. Primary coil (in charger base) Secondary coil (in toothbrush) 1=losin(27ft)