Pearson eText for Electrical Engineering: Principles & Applications -- Instant Access (Pearson+)
7th Edition
ISBN: 9780137562855
Author: Allan Hambley
Publisher: PEARSON+
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V₁(t)
ww
ZRI
ZLI
ZL2
ZTH
Zci
VTH
Zc21
Figure 8. Circuit diagram showing calculation approach for VTH and Z TH
we want to create a blackbox for the red region, we want to use the same input signal conditions as previously the design of your interference
ector circuit:
Sine wave with a 1 Vpp, with a frequency of 100 kHz (interference)
Square wave with 2.4Vpp, with a frequency of 10 kHz (signal)
member an AC Thevenin equivalent is only valid at one frequency. We have chosen to calculate the Thevenin equivalent circuit (and therefore the
ackbox) at the interference frequency (i.e. 100 kHz), and the signal frequency (i.e. 10 kHz) as these are the key frequencies to analyse. Your boss
is assured you that the waveform converter module has been pre-optimised to the DAB Receiver if you use the recommended circuit topology.
Vs(t)
+ v(t)
+ vi(t)
ZR
ZL
Figure 1: Second order RLC circuit
Zc
+
ve(t)
You are requested to design the circuit shown in Figure 1. The circuit is assumed to be operating at its resonant frequency when it is fed by a
sinusoidal voltage source Vs (t) = 2sin(le6t). To help design your circuit you have been given the value of inductive reactance ZL = j1000.
Assume that the amplitude of the current at resonance is Is (t) = 2 mA. Based on this information, answer the following to help design your circuit.
Use cartesian notation for your answers, where required.
For a band-rejection filter, the response drops below this half power point at two locations as visualised in Figure 7, we need to find these
frequencies. Let's call the lower frequency-3dB point as fr and the higher frequency -3dB point fH. We can then find out the bandwidth as
f=fHfL, as illustrated in Figure 7.
0dB
Af
-3 dB
Figure 7. Band reject filter response diagram
Considering your AC simulation frequency response and referring to Figure 7, measure the following from your AC simulation. 1% accuracy:
(a) Upper-3db Frequency (fH) =
Hz
(b) Lower-3db Frequency (fL) =
Hz
(c) Bandwidth (Aƒ) =
Hz
(d) Quality Factor (Q) =
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- V₁(t) ww ZRI ZLI Z12 Zci Zcz Figure 4. Notch filter circuit topology ши Consider the second order resonant circuit shown in Figure 4. Impedances ZLIZ C1. ZL2. Z c2 combine together forming a two-stage "band- reject" filter, so called because it rejects a "band" (aka range) of frequencies. This circuit topology is also commonly referred to as a "band-stop" filter or "notch" filter. The output of the DAB receiver block has been approximated via Thevenin's theorem for you as a voltage source Vs (t) and associated series impedance Z RI To succeed in our goal, we are going to use an iterative design approach. First we will design the interference rejector, and then repeat the process, using the output of the interference rejector to check the provided waveform converter works as intended.arrow_forward1. What is the settling time for your output signal (BRF_OUT)? For this question, We define the settling time as the period of time it has taken for the output to settle into a steady state - ie when your oscillation first decays (aka reduces) to less than approximately 1/20 (5%) of the initial value. (a) Settling timearrow_forward2. What is the total impedance Zt of your designed circuit? Represent your result in cartesian form NOTE: use j to represent sqare root Zt=arrow_forward
- An electric resistance space heater is designed such that it resembles a rectangular box 55 cm high, 75 cm long, and 20 cm wide filled with 45 kg of oil. The heater is to be placed against a wall, and thus heat transfer from its back surface is negligible. The surface temperature of the heater is not to exceed 75°C in a room at 25°C for safety considerations. The emissivity of the outer surface of the heater is 0.8 and the average temperature of the ceiling and wall surfaces is the same as the room air temperature. The properties of air at 1 atm and the film temperature are: k = 0.02753 W/m-°C, v=1.798 x 10-5 m²/s, Pr = 0.7228, and ẞ= 0.003096K-1 Wall T₁ =75°C Oil € = 0.8 Electric heater Heating element Disregarding heat transfer from the bottom and top surfaces of the heater in anticipation that the top surface will be used as a shelf, determine the power rating of the heater in W. The power rating of the heater is W.arrow_forwardcircuit 2arrow_forwardSuppose you have 8 LED's connected to port-B (Bo-B7) of PIC16F877A and one switch connected to port-D (Do) as shown in figure below. Write a program code that performs a nibble (4-bits) toggling: if the switch is released then LED's (Bo to B3) are OFF and LED's (B4 to B7) are ON, while if the switch is pressed then LED's (Bo to B3) are ON and LED's (B4 to B7) are OFF. Use 300ms delay for each case with 4MHz frequency. 13 14 22 NATHON 20 U1 OSC1/CLKIN U2 33 REOINT 20 34 OSC2/CLKOUT 19 RB1 35 3 18 RB2 RADIANO debt0RB3PGM 30 4 17 37 5 10 RA1/AN1 RB4 38 RA2/ANZ/VREF-/CVREF 15 RB5 39097 RA3/AN3VREF RB6/PGC 7 14 40 RA4/TOCK/C1OUT 13 RB7/PGO RAS/ANA/SS/CZOUT 15 RCO/T1OSO/TICKI 10 11 REQIANS/RD 18 RC1/T10S/CCP2 17 10 RE1/AN/WR REZ/ANTICS MCLR/Vpp/THV RC2/CCP1 LED-BARGRAPH-RED RC3/SCK/SCL RC4/SDUSDA RC5/SDO Eng of ROSTX/CX RC7/RX/DT RDO/PSPO RD1/PSP1 RD2PSP2 RO3/PSP3 RD4/PSP4 ROS/PSP5 RD6/PSP6 RD7/PSP7 PIC16F877A +5V R1 100Rarrow_forward
- Write a PIC16F877A program that flash ON the 8-LED's connected to port-B by using two switches connected to port-D (Do & D₁) as shown in figure below, according to the following scenarios: (Hint: Use 500ms delay for each case with 4MHz frequency) 1. When Do=1 then B₁,B3,B, are ON. 2. When Do 0 then Bo,B2,B4, B5, B6 are ON. 3. When D₁=1 then B4,B,,B6,B7 are ON. 4. When D₁-0 then Bo,B1,B2,B3 are ON. U1 5 33 OSC/CLION OSC2/CLKOUT ROOINT RB1 35 RB2 20 17 RACIANO RESPOM RATANT RAZIANZ/VREF-CVREF RBS RA3/AN3/VREF+ REPOC 39 14 40 RA4/TOCK C1OUT 13 RB7/PGO 12 RASIAN/SCOUT 15 ROOT1050/TICK +5V REGIANERD REVANDVIR REZANTICS RCMT10SUCCP2 17 RC2/CCP1 LED-BARGRAPH-RED RC3SCHISCL 23 --- MCUANTV RC4/SOSDA 24 RCS/SDO RCB/TICK RC7/RXDT 25 ROOPSPO RDMPSP1 RD2PSF2 RO3PSP3 RD4PSP4 RDSPSPS PIC16F877A ROOPSP RO7/PSP7 R2 R1 100R 100Rarrow_forwardQuestion 5 The following data were obtained from testing a 48-kVA 240/4800 V step up transformer. Open-circuit test Short-circuit test Voltage (V) 240 150 Current (I) 2 10 Power (W) 120 600 Determine the equivalent circuit of the transformer as viewed from the primary side. Ans: Rc = 480 ohm, Xm = 123.94 ohm, Reqp = 0.015 ohm, Xeqp = 0.034 ohmarrow_forwardFrom the following mass-spring system, obtain its transfer function and pole-zero wwwwwwww wwww diagram in MATLAB. Analyze how stability varies when entering values. wwwww (4)x1 ▷ x(t) M f(t) B f(t) is the input variable and x(t) is the controlled variable.arrow_forward
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