SSRN Id4375010 Code2747790
SSRN Id4375010 Code2747790
Authors’ contributions
 This work was carried out in collaboration between both authors. Both authors read and approved the
                                                                                     final manuscript.
                                                                                                      Article Information
                                                                                            DOI: 10.9734/CJAST/2022/XXXXX
                                                                                                Received: DD/MM/20YY
    Original Research Article                                                                  Accepted: DD/MM/20YY
                                                                                               Published: DD/MM/20YY
ABSTRACT
 An FM transmitter is a small electronic gadget that has a wire (aerial) that produces electromagnetic
 radio waves capable of transmitting energy through at space. It creates recurring radio waves that
 exchange in form of current which is then applied to receiving wire (aerial). At a point where signal
 reception occurs, the radio waves get energized by a rotating current in the receiving wire. It is
 therefore, a complex gadget considered to be a high voltage energy system. It design is complex
 and thus demands critical maintenance procedures which are costly. In Kenya, there is rapidly
 growing demand for the use of FM transmitters both among individuals and institutions alike. This
 project was carried to design, construct and implement an FM transmitter that is cheaper to buy,
 easy to maintain and expected to be equally efficient when in operation. An FM transmitter was
 designed and constructed using the transistors, resistors, coils, capacitors and microphone. It was
_____________________________________________________________________________________________________
Curr. J. Appl. Sci. Technol., vol. xx, no. xx, pp. xx-xx, 2022
mounted on testing symbolic bed assumed to that of the patient (at Coast Level Five Hospital) who
figuratively required the attention of medical personnel (doctor/nurse/caretaker). It was connected to
12V DC power source and tested. In this paper, we report the successful completion of the project.
Its findings are outlined and discussed. The results revealed that a locally designed FM transmitter
that operates on low power can be designed that has an appreciable range of signal transmission. It
was recommended that further investigations be carried out on the signal coupling circuit so as to
improve range of transmission further.
Keywords: Coast General Hospital; LC Tank circuit; BJT; Oscillator circuit; stable frequency; power
          transistors; amplifiers; coupling capacitor; emitter resistor.
transmission ability. Its wireless performance and              where, f is the modulated frequency output.
working mechanism depend on the inductor coil
& the variation of its capacitance [12]. It transmits
                                                                             d c (t )                                    (6)
the audio signals through the carrier wave by the
difference of frequency. At the microphone edge
                                                                W1                       2f1
                                                                               dt
[13], a very low audio signal is first generated. It
is then amplified to produce an inverted amplified
                                                                When equation (6) is differentiated w.r.t velocity
signal by a bipolar transistor whose common-
                                                                of output we obtain equation (7) as [3];
emitter configuration is biased to operate in the
class A region [6]. The audio input signal from
                                                                d c                                                      (7)
                                                                      2f c  2f
the microphone enters the base of the transistor
resulting into a modulated FM carrier signal. The
audio input signal from the microphone enters                    dt
the base of the transistor resulting into a
modulated LC tank circuit carrier signal [14] of a              reducing to Eq. (8) as;
FM in nature. In general, the audio signal is first
amplified by an oscillating circuit, amplified by an
amplifier and processed by a variable frequency                 d c (t )  2f c dt  2fdt                             (8)
C ( t )  Ac cos  c ( t ) (1)
V  Ac cos (t )                                                                      2f c t  ka
                                                      (3)                                                               (13)
                                                                 d c (t ) 
                                                                                  f mV peak sin2f m t 
And
                                                                Such that amplification and voltage can be
 f1  f c  f
                                                      (4)       expressed by Eq. (14) and Eq. (15) respectively
                                                                as;
                                                                                                                        (14)
Resulting into a shift in frequency in Eq. (5) as;                                       V peak
                                                                m f  2 
f  k a  Vm (t )                                                                         fm
                                                      (5)
A NPN Bipolar Junction Transistor, BC109 that                  circuit that undermines performance. A 30 x 30 x
operates at about 9V was selected to assemble a                15 cm plastic casing was adopted as a cabinet
pre-amplifier circuit. The quiescent collector                 casing to accommodate all the primary inputs.
current was determined and adopted. The Load
Resistor, R4 was determined. The bias current                  3.4 Testing of the Design
and voltage across the load resistors was
determined as being about 10 times the base                    The following tests were performed according to
current to form the Voltage Divider Resistors R2               IEE Regulation, 1988 and the findings were as
and R3. Every component was carefully and                      follows: the continuity test which was to detect
neatly soldered using 40 watt soldering iron to                any open circuits in the FM transmitter; static test
avoid being pulled out using a clean 60 watt                   to confirm transistor terminal voltages before
soldering iron to provide safety. Soft soldering               completing the circuit to AC power source; the
since it is suitable for light points in copper and            polarity test that was mean to confirm correct
electronics joint to avoid open circuit or short               terminal connections and the transmitter range
test that was meant to determine how far the FM               the collector current divided by the current gain,
signal was to be sent and be received. After                  hfe. This resulted into a base current (Ib) of 0.08
carrying out all other tests, the last test before            mA as regulated by the voltage divider resistors
the connecting the designed FM transmitter to an              R2 and R3. This gave a voltage of 0.7V across
AC power source, a continuity test was carried                the base, Vb which was also more than the
out. A world FM radio receiver turned to the FM               emitter voltage (Ve). Hence resistor Vb/Ibias = R2
meter-band was tuned gradually to detect and                  resulting into 22.25KΩ. Here we select a 22K
capture an FM frequency from the prototype                    resistor so that (Vcc-Vb/Ibias = R3 giving 90.1KΩ as
design. Once it was detected, the receiver was                a result, the emitter voltage 1.08V which was
slowly moved away from the FM transmitter till                about 12% of the Vcc voltage. Hence, Vb voltage
the signal was just lost. The distance was                    was about 1.78V. The value of Emitter Resistor,
measured to the farthest point signal at which the            R5, was determined from the relation Ve/Ie, by
signal was just lost. Power consumption was also              taking the emitter current Ie as approximately
tested.                                                       equal to the collector current, Ic and it was
                                                              obtained to be 540 Ohms which served the
4. RESULTS AND DISCUSSIONS                                    purpose of bypassing the emitter current, Ie. The
                                                              coupling capacitor, C1 served the purpose of
4.1 Transistor Tests                                          modulating current going through the transistor.
                                                              Its value was obtained as 5 uF. Resistor R1
Testing of the transistor showed that when                    Served as a microphone resistor to limit the
junction is in forward biased (base/emitter), the             current passing through the microphone, to a
ohmmeter recorded very low reading in                         level the microphone can handle.
millimeters but on reverse biasing the two
junction and both junctions read high.                        Using specifications of the microphone, the
Connecting in reverse between the collector and               current average current allowed through
emitter, the ohmmeter recorded reading high.                  microphone was to be 0.4mA. Using the relation,
When the NPN transistor diode junctions used in               (Vcc-Vb)/0.4 the microphone resistor Rm was
the design circuit, it was tested using a digital             obtained as 18.05K. Capacitor C4 served as a
multimeter. It was revealed that the correct                  DC signal bypass capacitor and its value was
terminals were connected to an ohmmeter with                  obtained to be 15 uF. Inductor L1 and capacitor
the base connected to the positive terminal while             C6 formed the tank circuit components. Its
the negative common terminal was connected to                 operating frequency oscillations was determined
the emitter. The static test revealed a number of             form f = 1/(2π√LC). Since this was an FM
faults such as open circuit and short circuits in             transmitter to operate at a frequency between 88
transistors and other sections which were                     MHz to 100 MHz, the inductance of L1 was
corrected. It further revealed that the transistor            obtained as 0.2uH while capacitance C6 was
had the following parameters: the VC Collector                determined as 12pF and varied between 5 pF to
voltage was 8 V with reference to the base; the               20pF actively during transmission. Capacitor C9
VB base voltage was 1.7V while the VE emitter                 formed the Tank Capacitor that served the
voltage wasc1.0 V with reference to the ground.               purpose of keeping the tank circuit in vibration
                                                              during transmission. Since this project used the
4.2 Implementation                                            BJT 2N222, it was obtained that during testing, it
                                                              varied 4 pF to 10 pF. After transistor polarity test,
                                                              R6 and R7 were found to bias resistor and
In this project, the NPN Bipolar Junction
                                                              through calculation, they were determined to
Transistor, BC109 was selected and used. In the
                                                              have a value of 9.1 KΩ and 40.03 KΩ
single stage common-emitter amplifier, the Vcc,
                                                              respectively. Capacitor C3 served the purposes
voltage was 9V. This was an appropriate voltage
                                                              of coupling and after determination; it was
since the VCEO for this transistor is around 40V.
                                                              obtained to have a value of 0.01 uF and this
The quiescent collector current was assumed to
                                                              resulted in the emitter resistor, R8 for the
be about 1mA and was used taking the collector
                                                              amplifier circuit to have a value of 1.04 KΩ. After
voltage of about half of Vcc based on Vc/Iq
                                                              a number of tests, the results showed that the
relationship. The value of the load resistor, (R4)
                                                              FM transmitter performed well on a DC power
was found to be 4.5KΩ and approximated to 5KΩ
                                                              supply of about 12 volts and in this case there
to protect the circuit. The bias current was
                                                              was neither any frequency drifts nor any
approximated to be 10 times more than the base
                                                              detectable electrical noises.
current so that the base current, Ib was equal to