Construct the Z bus by using the algorithms for below network by following the bus order of 0-1-2-3. j0. 1 j0.05 jo-5 j1.25 Reference [j 0.365 j0.338 j0.338 j0.338 j0.405 j0.405 j0.338 j0.405 j0.455] None of the given [j 0.465 j0.368 j0.368 j0.368 j0.415 j0.415 j0.368 j0.415 j0.435] s builj 0.565 JI Janl, j0.358 j0.358 i 0.358 j0.425 j0.425 j0.358 j0.425 j0.425] Pr

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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?