AM Signal Analyzer Message Frequency (Hz) 50 Hz Carrier Frequency (Hz) 500 Hz Message Signal Amplitude (Am) 1 Carrier Signal Amplitude (Ac) 1 Modulation Index = Am/Ac Upload CSV, .wav, .mp3, or .mp4 Use Test Signal CSV Sample Rate (Hz): No Operation FFT (Spectrum) Amplitude Modulation (AM) Double Sideband Supressed Carrier (DSBSC) Pulse Amplitude Modulation (PAM) ...

  HCF = Highest Common Factor GCD = Greatest Common Divisor Example: Find HCF/GCD of 12 and 18 Method 1: List the factors Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 18: 1, 2, 3, 6, 9, 18 Common factors: 1, 2, 3, 6 The highest common factor is 6 . So: HCF(12, 18) = GCD(12, 18) = 6 Euclidean algorithm For larger numbers, this is faster. Find GCD of 48 and 18 : 48 ÷ 18 = 2 remainder 12 18 ÷ 12 = 1 remainder 6 12 ÷ 6 = 2 remainder 0 When the remainder becomes 0 , the last non-zero remainder is the GCD. Answer = 6 For Decimal Numbers Example: HCF of 1.2 and 1.8 Step 1: Count decimal places Both numbers have 1 decimal place. Step 2: Multiply both by 10 1.2 × 10 = 12 1.8 × 10 = 18 Step 3: Find the HCF of 12 and 18 HCF = 6 Step 4: Divide by 10 6 ÷ 10 = 0.6 HCF of 1.2 and 1.8 = 0.6 Another example: 2.4 and 3.6 Multiply by 10: 2.4 → 24 3.6 → 36 HCF of 24 and 36 = 12 Divide by 10: 12 ÷ 10 = 1.2 So, HCF = 1.2 . If the numbers have different numbers of decimal...

The speed of an induction motor depends on the frequency of the supply. A VFD (Variable Frequency Drive) controls the motor speed by changing the frequency but how does it actually change the frequency of electricity?  let us understand in simple language. The synchronous speed of the induction motor is directly proportional to the supply frequency. Synchronous speed = 120*f /N where, f is operating frequency N = number of poles If frequency increases the motor runs faster. If frequency decreases the motor runs slower. A VFD first converts the incoming AC supply into DC using a rectifier. The DC is stored in capacitor inside the VFD. After that the inverter circuit inside the VFD converts this DC back into AC but a new frequency is chosen by the chosen by the operator. For this reason, the motor receives AC at any frequency between 0 and 50 Hz or even higher. Due to this the motor speed can be controlled smoothly from zero to full speed. In such condition VFDs save a large amount o...

  An induction cooker heats the cooking pan using electromagnetic induction , rather than heating the pan with a flame. How it works Electricity flows through a coil Under the glass surface is a coil of copper wire. The cooker sends alternating current (AC) through this coil. A changing magnetic field is produced The AC creates a rapidly changing magnetic field above the coil. The magnetic field enters the pan If you place a suitable metal pan on the cooker, the changing magnetic field induces eddy currents inside the bottom of the pan. The pan gets hot The pan has electrical resistance. The eddy currents flowing through that resistance produce heat . That heat then cooks your food. So the basic idea is: AC electricity → copper coil → changing magnetic field → eddy currents in pan → heat  Although eddy currents are induced in the pan, they do not cause an electric shock because the current flows in a closed path within the pan. The electrical resistance of t...

If you mean a vector field F → \vec F , then rotational and irrotational are determined using the curl . 1. Rotational Vector Field A vector field is called rotational if ∇ × F → ≠ 0 \boxed{\nabla\times\vec F\neq0} That means the field has some local tendency to rotate or spin . For F → = P i ^ + Q j ^ + R k ^ \vec F=P\hat i+Q\hat j+R\hat k the curl is ∇ × F → = | i ^ j ^ k ^ ∂ ∂ x ∂ ∂ y ∂ ∂ z P Q R | \nabla\times\vec F= \begin{vmatrix} \hat i&\hat j&\hat k\\ \frac{\partial}{\partial x}&\frac{\partial}{\partial y}&\frac{\partial}{\partial z}\\ P&Q&R \end{vmatrix} 2. Irrotational Vector Field A vector field is irrotational if ∇ × F → = 0 \boxed{\nabla\times\vec F=0} So the main thing to remember is: Curl = 0 ⇒ Irrotational \boxed{\text{Curl}=0\Rightarrow\text{Irrotational}} Curl ≠ 0 ⇒ Rotational \boxed{\text{Curl}\neq0\Rightarrow\te...

For vectors v 1 , v 2 , … , v n v_1,v_2,\dots,v_n : Linearly Independent Vectors The vectors are linearly independent if the only solution to c 1 v 1 + c 2 v 2 + ⋯ + c n v n = 0 c_1v_1+c_2v_2+\cdots+c_nv_n=0 is c 1 = c 2 = ⋯ = c n = 0 \boxed{c_1=c_2=\cdots=c_n=0} Linearly Dependent Vectors The vectors are linearly dependent if there is a non-zero set of coefficients satisfying c 1 v 1 + c 2 v 2 + ⋯ + c n v n = 0 c_1v_1+c_2v_2+\cdots+c_nv_n=0 where at least one c i ≠ 0 c_i\neq0 . Key Difference Between Linearly Independent and Dependent Vectors So the key difference is: Independent ⇒ only trivial solution \boxed{\text{Independent} \Rightarrow \text{only trivial solution}} Dependent ⇒ a non-trivial solution exists \boxed{\text{Dependent} \Rightarrow \text{a non-trivial solution exists}} For example, v 1 = ( 1 , 2 ) v_1=(1,2) and v 2 = ( 2 , 4 ) v_2=(2,4) are dependent because 2 v 1 − v 2 = 0. 2v_1-v_2=0. How to Check if 3 Vectors in R 3 Ar...

  The region z>=0 is free space. The intrinsic impedance of free space, often denoted as  η0 = 377 ohm The region z<0 is lossless medium. The intrinsic impedance of free space, often denoted as 2* η0 = 2*377 ohm Γ = 2 η 0 ​ + η 0 ​ 2 η 0 ​ − η 0 ​ ​ Or,  Γ = 1/3 Answer (a) 1/3

Given: Z O L = 1 where  Z O L  is the number of RHP zeros of  G ( s ) H ( s ) . From the Nyquist plot, applying the argument principle to the origin gives the number of RHP poles of the open-loop transfer function. Then applying the Nyquist criterion to  ( − 1 , j 0 )  gives the number of RHP closed-loop poles. For Open Loop N = P - Z Or, 2 = P - 1  (because open loop zero = closed loop pole) Or, P = 3 Now for Closed Loop, N = P-Z or, 0 = 3-Z or, Z = 3 *(N = number of encircles, P = # open loop poles, and Z = closed loop poles) The resulting number is Z C L = 3 So the answer is: (d)  3 Final answer:  (d) 3