1. For z = 3 – j5 and z, = -2 +, find the polar form of the following: 3 g. Z1 h. Im[ Zi+Z2° 23 i. Z1

Q: 2. Find L{sin³ t}, L{e2t sin³ t}.

A:

Q: Convert into rectangular, polar and exponential form: Given: Z1= 2-j3

A: To convert the given complex number into rectangular, polar and exponential form: Z1 = 2-j3

Q: Given capacitance values of the ff.: C = 3 microFarad; C2 = 6 microFarad; & C3 = 18 microFarad What…

A: As per our policy we have to do the first three only, (a)  Ceq=C1∥C2∥C3=C1+C2+C3=3+6+18=27 mF (b)…

Q: Consider the following circuit consisting of an AC generator V-V.sin(et), a capacitor C, an inductor…

A: Given circuit diagram is shown below. Here the AC generator is V=Vosinωt Volts. We need to find the…

Q: Problem 2: Find Z¡Z2 , Z1/ Z2. Z+ Z2 Z1- Z2 and write your answers in both polar and rectangular…

A: Given data, The value of Z1 = 10+j5 = 11.18∠26.56∘ The value of Z2 = 20-j20 = 28.28∠-45∘ In…

Q: Prove the following expression by using phasors: 10 cos(@t)+10sin(@t) = 14.14 cos(@t – 45°)…

A: The solution is given below

Q: VZ(100) sen(ot + 30°) V2(0.25) sen(157t – 40°) 100 sen(wt - 90°)

A: Since as per bartleby guidelines i am supposed to answer only one question and if it has subparts…

Q: Given capacitance values of the ff.: C = 3 microFarad; C2 = 6 microFarad; & C3 = 18 microFarad What…

A: Given: C1=3 μFC2=6 μFC3=18 μF When all connected in parallel: Ceq=C1+C2+C3Ceq=3+6+18Ceq=27 μF When…

Q: For the Phasor diagram shown, find for every component the p.d. after that draw the Circuit. Can…

A: Power Factor- It is developed as the angle in voltage and current which is known as the power…

Q: dy The non-homogeneous differential equation dx x + y+ 4 can be solved by putting 9x + 9y + 6 v = 4x…

A: Non homogenous

Q: 230v 60Hz For C₁, For R₁, For C₂, For R₂, For L1, R₁ La Capacitances C₁ = 265.26 µF C₂ = 1.33 mF…

A:

Q: 1) Cl is a Capacitive impedances in uf and Z1 = 30|90°. 2) LI is an Inductive impedance in mH, Z2…

A: Resistors, inductors and capacitors form an integral part of any electrical circuit. A source,…

Q: 5 is used to find the unknown values of inductance and capacitance. Determine the following, Figure…

A:

Q: i, = 3 sin(377t + 60°) R1.2 N XL 1.20 Ω Χ. 20 Xc

A: The solution is given below

Q: Given that  Z1  = 3 + J2 and Z2 = 2+ J3 express   Z1/ Z2   complex exponential form

A: Z1  = 3 + J2Z2 = 2+ J3In complex exponential the value is expressed in a+jb form. The detailed…

Q: I. For z1 = 3 – j5 and z, = -2+ find the polar form of the following: 3' d. Re[-? Z1 e. Re[÷ ] f.…

A:

Q: HW 1.5: A voltage v(t) = 100 cos(60t + 20°)V is applied to a parallel combination of a 40-k2…

A: Given,

Q: Two parallel capacitors C1 and C2 are in series with two series inductors L1 and L2 and connected to…

A:

Q: Ax X ms Soru 3) Yukarıdaki grafikte periyot T=90 ms ve iki işaret arasında X=14 ms zaman farkı…

A: it is asked to find the the phase difference between the given 2 wave forms

Q: 3. u(t – 2) te-2t

A:

Q: b) Many sensors contribute changes in inductance or capacitance in the output due to the change in…

A:

Q: in coordinates, what is the cross product of atheta x az? show solution. thank you

A: Find the product of athetax az in cylindrical coordinates ?

Q: -j3N Is IL IR Vc Vs j6n 3 ViR 120 Figure QI(b) (b) An ideal voltage source is connected with one…

A: In this question,  Ideal voltage source and frequency is supplied to the capacitive and inductive,…

Q: Choices: A) Either one is acceptable B) Imaginary C) Real D) Cannot be determined E) None of the…

A: Given, A mcq based on Euler's identity. Please see below for the clear explanation.

Q: 4- Write two examples about converting an equation from rectangular form [contain x,y] to polar…

A:

Q: c) For Figure Q4 (c) below, determine the current input l, and output current l2. Z1 = 402 Z12 = j20…

A: This question belongs to circuit theory . It is based on two port network . It is related to z…

Q: Determine the total impedance Z of an ac circuit containing a resistor (R = 350 ) connected in…

A: Since both question are not interlinked as per the guidelines of bartleby we supposed to answer…

Q: What is the correct rectangular form of 10/90°? O 10j O 10 O-10j 0-10

A: Here we have to convert a complex number from polar form to rectangular form.

Q: Find the equivalent inductance between A and B if L1 = 6 H, L2 = 6 H, L3 = 20 H, L4 = 8 H and L5 =…

A: Given circuit: Here, L1=6 HL2=6 HL3=20 HL4=8 HL5=10 H

Q: Convert into rectangular, polar and exponential form: Given: Z1= 2-j3 1. csch(Z1)

A:

Q: 1. Simplify ´cos(4L25º) – tanh (0.3 + j0.7) cosh (In (3 + j5)(3+j5) and write your final answer in…

A:

Q: Find the capacitance of the parallel plate capacitor below, given that er = 3, er2 = 5, A = 4 m2, d…

A: Given εr1=3εr2=5A=4 m2d=4 m The expression for capacitance is given by C=εoεrAd For εr1=3…

Q: -j30 Is IL IR Vc Vs j6N ViR 122 Figure QI(b) (b) An ideal voltage source is connected with one…

A:

Q: Solve this h.w. with the following requirements: 1) Cl is a Capacitive impedances in uf and ZI =…

A:

Q: 4. Evaluate the expression using phasor, write your answer in pbasor and sinusoidol form 25° i(4) =…

A:

Q: Convert the following complex numbers to polar and exponential forms: (a) z₁ = 3-j4, (b) z2 = 5 +…

A:

Q: · A Maxwell bridge is used to measure inductance and impedance. The bridge constants at balance are:…

A: In the question,  Maxwell bridge circuit is used to measure the inductance and quality factor.…

Gradient of a Scalar Field

Consider a room or a place where the temperature is denoted by a scalar field T, such that at each point (x, y, z), the temperature is given as T(x, y, z). It is independent of time, in which the temperature rises most quickly. The gradient of T will show the direction at that point by moving away from (x, y, z). How far will the rise in temperature in that direction be determined by the gradient magnitude? Consider a surface that has a height above sea level at point (x, y) which is given by H(x, y). At that point, pointing in the direction of the steepest slope or grade is the gradient of H. The magnitude of the gradient of the vector gives the steepness of the slope at that point. How a scalar field changes in another direction can be measured by the gradient by taking a dot product rather than just the direction of the greatest change?