Evaluate the following: (a) 5 sin (5t − 9°) at t = 0, 0.01, and 0.1 s; (b) 4 cos 2t at t = 0, 1, and 1.5 s; (c) 3.2 cos (6t + 15°) at t = 0, 0.01, and 0.1 s.
(a)
Find the value of following expression.
Answer to Problem 1E
The value of expression for
Explanation of Solution
Case (i):
Given data:
Calculation:
Convert the value in degree to radians.
Substitute
Case (ii):
Substitute
Case (iii):
Substitute
Conclusion:
Thus, the value of expression for
(b)
Find the value of following expression.
Answer to Problem 1E
The value of expression for
Explanation of Solution
Case (i):
Given data:
Calculation:
Substitute
Case (ii):
Substitute
Case (iii):
Substitute
Conclusion:
Thus, the value of expression for
(c)
Find the value of following expression.
Answer to Problem 1E
The value of expression for
Explanation of Solution
Case (i):
Given data:
Calculation:
Convert the value in degree to radians.
Substitute
Case (ii):
Substitute
Case (iii):
Substitute
Conclusion:
Thus, the value of expression for
Want to see more full solutions like this?
Chapter 10 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- A parabolic reflector antenna with a diameter of 22 meters operates at frequency of 5GHz. calculate the power gain, G (dB) of the antenna if the aperture efficiency is 50%.arrow_forwardThe current in a 20 mH inductor is known to be i=40 mA,t≤0; i=A1e−10,000t+A2e−40.000tA,t≥0. The voltage across the inductor (passive sign convention) is 28 V at t=0. 1. Find the expression for the voltage across the inductor for t>0. 2. Find the time, greater than zero, when the power at the terminals of the inductor is zero.arrow_forwardidentify the following 1. If the pole’s real value is positive and is located on the right side of the S-plane. The system exponentially ____________.2. Is a continuous connection of branches from one node to another with all arrowheads in the same direction.3. Knowing the location of the pole in the S-plane determines the ______________ of the system.arrow_forward
- A PV system delivers power to a DC motor that in turn feeds a water pump. The DC motor is rated for 1.0 kW and is 85% efficient. Each PV module has 36 solar cells, arranged in a 9 x 4 matrix. The cell size is 125 mm x 125 mm and cell efficiency is 12%. Calculate the number of modules required in the array. Assume global radiation incidence normal to the panel to be 1.0 kW/m2.arrow_forwardThe voltage pulse applied to the 100 mH inductor shown is 0 for t<0. and is given by the expression v(t)=20te−10t V for t>0. Also assume i=0 for t≤0. Sketch the voltage as a function of time.arrow_forwardStep functions can be used to define a window function. Thusu(t −1)−u(t−4) defines a window 1 unit high and 3 units wide located on the time axis between 1 and 4. A function f(t) is defined as follows: f(t)=0,t≤0;=−20t,0≤t≤1 s= −20,1 s≤t≤2 s=2 cosπ2t,2 s≤t≤4 s;=100−20t,4 s≤t≤5 s=0,5 s≤t<∞. 1. Sketch f(t) over the interval −1 s≤t≤6 s. 2. Use the concept of the window function to write an expression for f(t).arrow_forward
- 1. Find the outer radius of a coaxial cable having a characteristic impedance of 12 and a dielectric constant of 0.06. The outer inner radius of this cable is 4 cm. 2. How much is the inductance of a coil of an instrument that induces 1000 V when its current changes at the rate of 50 mA in 2 µsarrow_forwardwhere is ,,iv ,,v,,viarrow_forwardThe terminal points determined by pi/2, pi, -pi/2, 2pi are __________, ________, ___________, and ___________, respectively.arrow_forward
- 1.3 A coaxial cylindrical capacitor is to be designed with an effective length of 10 cm. The capacitor is expected to have a capacitance of 100 pF and to operate at 11 kV, 1000 kHz. Determine the required thickness if the required insulating material is Polytetrafluoroethylene (P.T.F.E.), &r= 2.0, Eb = 250 kV/cm. Allow a factor of safety of 4 and take to = 8.85x10-1² F/m.arrow_forwardA 50ft transmission line is used for a microwave system. Aportion of the transmission line is found to have an inductanceof 0.5 mH, a capacitance of 1000 uF, 1000Ω resistance and 1uSconductance. Find the characteristic impedance of the trans lineassuming at Low frequency application.arrow_forwardA resistance of 100 Ω, an inductance of 0.1 H, and a capacitance of 5(10−5) F are connected in series.If the total electromotive force is given by 110 sin 377t, such that at t = 0,Q = 0, and i = 0, find thecurrent for t > 0.arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,