Homework Answers
EXERCISES 8.12 For the circuit in Fig. 8. 19, let 1-1 m1A, Vcc-15 VR-|0 kQ, with α 1, and let the...
EXERCISES 8.12 For the circuit in Fig. 8. 19, let 1-1 m1A, Vcc-15 VR-|0 kQ, with α 1, and let the input voltages be: t'ai = 5 + 0.005 sin 2π × 1000t. volts, and = 5-0.005 sin 2π × 10001, volts. (a) If the BJTs are specified to have gr of 0.7 V at a collector current of 1 mA. find the voltage at the emitters. (b) Find g, for each of the two transistors. (c) Find ic for...
1- 2- Solve. In an electrical circuit, let Vrepresent the electromagnetic force in volts att seconds....
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Solve. In an electrical circuit, let Vrepresent the electromagnetic force in volts att seconds. Assume V-cos 2nt. Find the smallest positive value of t where Osts for v= 2 O sec 0 sec o į sec 0 sec O Solve the problem. The formula for the up-and-down motion of a weight on a spring is given by s-asin (A) where a is the radius of the circle,k is the spring constant, m is the mass, and t is...
Problem 1 (10 pts). A time-domain signal x(t) is given in the figure below: - -...
Problem 1 (10 pts). A time-domain signal x(t) is given in the figure below: - - - - - - - 9 X(t) 0 2 t, msec (a) Compute the simplest real-valued math function for the spectrum X($). (b) Plot X(f) over a Hz frequency range large enough to show all the important properties.
source at 4T produce a forward wave f(r,t) = Aei(wt-Br) on a transmission line having a load at x 0. The source amplitu...
source at 4T produce a forward wave f(r,t) = Aei(wt-Br) on a transmission line having a load at x 0. The source amplitude is A = 6 and the load produces a reflection coefficient of I0.5. The wavenumber 1 rad/m, and the operating frequency is f = 107 Hz. Do the following Let a (a) Compute the simplest math form for ü(r, t), the total phasor signal on the line, for the three time values given by: (i t 0,...
Find the currents in the figure below when R=2.5 ohm, L=1 H, C=0.04 F, E(t)=169sint, I1(0)=0, I2(0)=0. Plot the I1 and...
Find the currents in the figure below when R=2.5 ohm, L=1 H,
C=0.04 F, E(t)=169sint, I1(0)=0, I2(0)=0. Plot the I1 and I2 as a
function of time t. Also plot the phase plane.
C R E L
C R E L
l. (10 points) Given an RC series circuit with R-10 kQ, C = 8.2 ? F,...
l. (10 points) Given an RC series circuit with R-10 kQ, C = 8.2 ? F, and Vs-20 volts, Vs a) Write the equation that describes the voltage in the capacitor, Ve(t) b) Find the time constant of the circuift c) Derive the equation that describes the current in the capacitor, ic(t) Remember that: (t)-C (dve(t) / dt ) . Use the expression of e(t) given in a). d) Evaluate the voltage in the capacitor at: t = 0 s,...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
Questions and answers are here, need solution process. 3. a) For the circuit shown in Figure...
Questions and answers are here, need solution process.
3. a) For the circuit shown in Figure Q3 (a): i) Find the mathematical expression for the transient behaviour of the voltage 6 vc across the capacitor and the current ic when the switch is moved into position 1 at t- 0 s ii) Find the mathematical expression for the response of vc and ic if the switch 4 is moved into position 2 at t charging phase) τ (where τ is...
3. (35 pts) Consider a standard RLC circuit with a resistor R, inductor L and capacitor C all in ...
3. (35 pts) Consider a standard RLC circuit with a resistor R, inductor L and capacitor C all in series driven by a voltage source v(t). The voltage source gives pulses of 5 volts that last 1 msec every 10 msec, i.e. a square wave with period 10. We are interested in the output y(t) which is the current flowing through the circuit at time t. (a) Find a general expression for the frequency response H(jw) of this system (b)...
1. (30pt) LC Circuit and Simple Harmonic Oscillator (From $23.12 RLC Series AC Circuits) Let us...
1. (30pt) LC Circuit and Simple Harmonic Oscillator (From $23.12 RLC Series AC Circuits) Let us first consider a point mass m > 0 with a spring k> 0 (see Figure 23.52). This system is sometimes called a simple harmonic oscillator. The equation of motion (EMI) is given by ma= -kr (1) where the acceleration a is given by the second derivative of the coordinate r with respect to time t, namely dr(t) (2) dt de(t) (6) at) (3) dt...
EXERCISES 8.12 For the circuit in Fig. 8. 19, let 1-1 m1A, Vcc-15 VR-|0 kQ, with α 1, and let the input voltages be: t'ai = 5 + 0.005 sin 2π × 1000t. volts, and = 5-0.005 sin 2π × 10001, volts. (a) If the BJTs are specified to have gr of 0.7 V at a collector current of 1 mA. find the voltage at the emitters. (b) Find g, for each of the two transistors. (c) Find ic for...
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Solve. In an electrical circuit, let Vrepresent the electromagnetic force in volts att seconds. Assume V-cos 2nt. Find the smallest positive value of t where Osts for v= 2 O sec 0 sec o į sec 0 sec O Solve the problem. The formula for the up-and-down motion of a weight on a spring is given by s-asin (A) where a is the radius of the circle,k is the spring constant, m is the mass, and t is...
Problem 1 (10 pts). A time-domain signal x(t) is given in the figure below: - - - - - - - 9 X(t) 0 2 t, msec (a) Compute the simplest real-valued math function for the spectrum X($). (b) Plot X(f) over a Hz frequency range large enough to show all the important properties.
source at 4T produce a forward wave f(r,t) = Aei(wt-Br) on a transmission line having a load at x 0. The source amplitude is A = 6 and the load produces a reflection coefficient of I0.5. The wavenumber 1 rad/m, and the operating frequency is f = 107 Hz. Do the following Let a (a) Compute the simplest math form for ü(r, t), the total phasor signal on the line, for the three time values given by: (i t 0,...
Find the currents in the figure below when R=2.5 ohm, L=1 H,
C=0.04 F, E(t)=169sint, I1(0)=0, I2(0)=0. Plot the I1 and I2 as a
function of time t. Also plot the phase plane.
C R E L
C R E L
l. (10 points) Given an RC series circuit with R-10 kQ, C = 8.2 ? F, and Vs-20 volts, Vs a) Write the equation that describes the voltage in the capacitor, Ve(t) b) Find the time constant of the circuift c) Derive the equation that describes the current in the capacitor, ic(t) Remember that: (t)-C (dve(t) / dt ) . Use the expression of e(t) given in a). d) Evaluate the voltage in the capacitor at: t = 0 s,...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
Questions and answers are here, need solution process.
3. a) For the circuit shown in Figure Q3 (a): i) Find the mathematical expression for the transient behaviour of the voltage 6 vc across the capacitor and the current ic when the switch is moved into position 1 at t- 0 s ii) Find the mathematical expression for the response of vc and ic if the switch 4 is moved into position 2 at t charging phase) τ (where τ is...
3. (35 pts) Consider a standard RLC circuit with a resistor R, inductor L and capacitor C all in series driven by a voltage source v(t). The voltage source gives pulses of 5 volts that last 1 msec every 10 msec, i.e. a square wave with period 10. We are interested in the output y(t) which is the current flowing through the circuit at time t. (a) Find a general expression for the frequency response H(jw) of this system (b)...
1. (30pt) LC Circuit and Simple Harmonic Oscillator (From $23.12 RLC Series AC Circuits) Let us first consider a point mass m > 0 with a spring k> 0 (see Figure 23.52). This system is sometimes called a simple harmonic oscillator. The equation of motion (EMI) is given by ma= -kr (1) where the acceleration a is given by the second derivative of the coordinate r with respect to time t, namely dr(t) (2) dt de(t) (6) at) (3) dt...
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