Q1: if AB = i+ 4j – 2k and B is the point (5,1,3), find point A. H.W: if Z = 3+ 4i , Z2 = 2 – 2i Z3 = 8+ 6i , Z4 = 5415 ,Z5 = 10453 Find Z, Z5

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Q: S Z₂ = 13.66 +0.75j RmXjXm 388 xj 54 Zm 388 +j54 Rm+jXm Zm 7.37 +52.97j Zm2 = = 0.03 = : (ZmXZ₂) =…

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Q: applying Kirchhoff's laws

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Q: the circuit shown in Figure, V1 = 5 120° Find Z. 2 N 0.25 N + ww -j0.25 N (1) 6/0°A

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Q: 6 ÔL Find. To using symmetvic and Skew symmetric concepts. R R₁ R I ₂ = ? R R₂ R₁ R₂ R 20

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Q: find Ztot in rectangular form B) find Ztot in polar form C) find V1 or VL in polar for. ( use…

A: Given: The given circuit is as follows, Formula Used: Ztotal =R+j(XL-Xc)

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?