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Ders Yürütücüsü: Prof. Dr. a = = 1. A receiver coil of a mobile phone with wireless charging capability has a radius of a = 3 [cm] and the number of N, =10. The coil of the transmitter circuit has N= 20 turns of windings with radius b = 5 [cm]. In order to charge this mobile phone, the centers of the receiver and transmitter coils are placed coincident on the xy - axis with their planes parallel to each other with the distance of h=4 34 [cm] between them as in Figure 1. The current i(t)= A, cos (21 ft)[4] on the single loop of the transmitter the coil induces the magnetic induction density field B(t)= Fi() [Wb/m] on the cross- 2 (62 +h?)? ? section of the receiver coil and assuming this field is homogenous on the cross-section: a) If the amplitude of the current flowing through the transmitter coil is Ag = 1.2[4], with frequency f = 200 [kHz], calculate the value of the induced electromotive force Vems (t) between the ends of the receiving coil. (25P) 52 3/2 b) If the transmitter coil and receiver coil are interchanged by keeping the distance between them the same, what should be the amplitude of the current to obtain the emf value obtained in option (a)? (15) c) If the receiver coil is tilted to make an angle of 30° with the xx - axis, how much will the induced emf change from its initial value in percentage? (Provided that everything else remains the same) (10P) Note: The thickness of the coil windings will be neglected. Assume that the coils are in the air. Receiver Coil Vem(t) N h Transmitter Circuit i(1) Transmitter X