Y [m] 7 6 5 4 3 2 1 Q₁: Q₂: P:1 1 2 3 4 5 6 7 X [m] Please calculate the resulting electrical field. Then, add a normalized electrical field vector to the point P₁. For calculating the E-field vector, please assume Q₁ = Q₂ = 1 As.

Q: 2.2 Determine the period, frequency and average value of the current waveform shown in Figure 2.2.…

A:

Q: 3. Compute V₁ + V₂, V₁ − V₂, V₁ * V₂, and V₁/V₂ for the phasors V₁ = 2245° and V₂ = 52 - 60°.…

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Q: AC3 For the following sine waveform, if E = 7 V, what is the voltage at t = 2ms? (write your answer…

A: In this question, we need to determine the voltage at t= 2 ms. If E = 7 V

Q: The current wave form is shown in the figure below. What is the average value over the time interval…

A: The given data is shown below:

Q: (b) Write the total current equation for the circuit shown in figure (3) if the fundamental sine…

A: In this question, we need to determine the total current. We know, Inductive Reactance XL =…

Q: You measured v(t) = 0.220sin(20000t +pi/4  ) across a 470 Ω resistor. The RMS current is       1 mA…

A: Given :V(t) = 0.220 sin20000t+π4  R=470 Ω

Q: ii) 2/30°+√√3e

A:

Q: (B) If e= 300 sin 157t, how long (in seconds) does it take this waveform to complete half a cycle?

A: We are given,

Q: voltage waveform is shown in volts. Find its average voltage and what is the RMS voltage? 5 Voltage…

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Q: 04: Calculate the R.M.S value of the current waveform shown in figure below. (t) 5 7 8 9 10 11 12 t…

A: In this question we need to find a RMS value of the given waveform.

Q: Assume temperature is 300K unless otherwise stated. Boltzmann's constant is 1.38 10-23 J• K-1 Q1)…

A: Given circuits: (a) (b) (c) Assume temperature is 300 K and Boltzmann's constant: K=1.38×10-23…

Q: • If the AC voltage frequency is increased from 60HZ to 6 KHZ, what will be the effect on inductive…

A: It is asked to find the change in inductive reactance due to change in frequency

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?