Problem 5: A cube, centered on the origin, with sides that are parallel to the x-y, y-z, and x-z planes and have an edge length of L, is immersed in an electric field given by E(x) = Eo(ar'i+ 2j + 5k). Refer to the figure. X Part (a) Integrate to find an expression for the total electric flux through the cube in terms of defined quantities and enter the expression. 'a Part (b) If L = 6.3 m, a = 0.75 m3, and Eo = 69 V/m, what is the value of the flux, in units of volt•meter? Pa Part (c) If the electric field is E(x) = E0(Bx²i+ 2j + 15k) with B= 2.5, what is the value of the flux, in units of volt meter?
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
P5E5
The electric flux through a surface can be defined as the total number of electric field lines passing through a surface of area. The electric flux through an elemental area, dA, can expressed by the following,
Here, is the electric flux and is the electric field. Area is also a vector whose direction is perpendicular to the surface. Therefore the flux is the product of the perpendicular component of the electric field and the area of the surface.
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