The mosfet used was the IRF3205 Enhancement Mosfet. Its function is to boost the current induced into the transmitting coil to increase its distance level. Mosfet ratings; Peak Drain to Source Voltage (VDS)= 55V On Resistance = 8.0 ohm Peak current = 110A when VDS = 10V So the current used was derived using the equation; ION = k (VDS(on) – VDS(th))2 Using the ratings to get the constant k we have, K = 110A/ (10V – 4V)2 K= 110/62 K = 110/36 K = 3.10AV2 Having gotten the constant k as 3.10AV2, we can derive our drain current as; I = 3.10 x (9V – 4V)2 I = 3.10 x 25 I = 77.50A
The inductance of the inductor to use is derived using the equation; L = n2 x R2/ 9R + 10x Where, L is the inductance N is the number of turns R is the radius of coil X is the distance of turns To get the required reactance of the coil to use, we divide the DC supply Voltage by the Drain Current of the MOSFET. Therefore, XL = 21.21/77.50 XL = 0.27ohm If Reactance of an inductor XL = 2 x 3.142 x f x L, then 0.27 = 6.284 x 50 x L L = 0.27 / 314.2 L = 0.0008593H RECEIVING CIRCUIT: The receiving circuit has basically the receiving coil, half wave rectifier circuit/filter and the voltage capacitor. The value of R is used to set the charging current to a fixed value which is determined by the Charging voltage/ charging current. For this project, the charging voltage was 5V DC. And the charging current required was 500mA. Therefore the value of R will be; R = 5/0.5 = 10ohm