Chapter 8, Problem 19RP

1) A circuit is given as shown. (a) Find and label the circuit nodes. (6) Determine I, II, I₂ and V, I mm 22 +1 m 50 4 12 12v 2 ти + V ≤1652 50 mv Ми 60

HANDWRITTEN SOLUTION NOT USING CHATGPT PLEASE

Design a full-wave rectifier power supply using a 9.52:1 transformer. Assume that the outlet is120 V rms @ 60 Hz. Further assume that the diode turn-on voltage V D(on) is 0.7 V. Pick the valueof CL such that vo has a maximum ripple of 1 V p-p . Solve for the average value of vo = Vo (notethat this may be greater than 12 V) and iD(ave) = ID.

Light-emitting diodes (LEDs) are diodes made with III-V compound semiconductor materials such as aluminum gallium arsenide (AlGaAs), aluminum indium gallium phosphide (AlInGaP) or indium gallium nitride (InGaN), instead of silicon. The LEDs emit light when the device is operated under forward bias. LEDs of different colors have different turn-on voltages VD(on). For example:  VD(on) : Red: ~ 1.6 V Yellow: ~ 1.7 V Green: ~ 1.8 V Blue: ~ 2.8 V White: ~ 3.8 V   (a) Model these five LEDs with a simplified piecewise linear model (b) A rule of thumb is that it takes about 1 mA of current to “light” an LED while ~ 10 mA is needed for it to appear bright. Use the piecewise linear model for the LEDs, for the over-voltage indicator circuit to the right, find the values of Vin which will cause D1 or D2 to light (i.e. when ID1 or ID2 exceeds 1 mA).

Consider a fixed and updated instrumentation amplifier (where two resistors are lumped into one resistor), analyze the circuit if a common voltage source (VICM) is connected to two inputs. A₁ R₂ + R₁ R₂, RA www www R₁ R₁ www A3 X R₁ R₂ www www R₁₂ + Vo RA A2 V2 O- + R₂ 12 R₁

Show that the input impedance of a lossy transmission line of length L connected to a load impedance of Z is given by Z₁Cosh(yL) + ZoSinh(yL) Zin = Zo ZoCosh(YL) + Z₁Sihh(YL) ex Where Cosh(x) = and Sinh(x) = are the hyperbolic cosine and sine, respectively. 2 2

A sinusoidal source of V = 10 and Z = 50 - j40 is connected to a 60 lossless transmission line of length 100 m with ẞ = 0.25. What is the Thevenin's equivalent of this system seen looking into the load end of the transmission line?

2. On a distortionless transmission line, the voltage wave is given by v(L,t) = 110e0.005L Cos(10³t + 2L) +55e-0.005L Cos(108t-2L) where L is the length of the transmission line as measured from the load. If Z = 30002, find a,ẞ, vp, and Zo.

A 50 transmission line is to be connected to a 72 load through a 1/4 quarter wave matching transformer. (a) What must be the characteristic impedance of the transmission line that is used to form the quarter wave transformer? (b) If the frequency of operation is 7 MHz and the phase velocity through the quarter wave section is 2c/3, what is the length of the quarter wave section? You may assume the transmission line forming the quarter wave section is lossless.