In the neighborhood of the origin in the coordinate system x,y,z, there is an el
ID: 2236744 • Letter: I
Question
In the neighborhood of the origin in the coordinate system x,y,z, there is an electric field E of magnitude 100 statvolts/cm, pointing in a direction that makes angles of 30 degrees with the x-axis, 60 degrees with the y-axis. The frame F' has its axes parallel to those just described, but is moving, relative to the first frame, with a speed of 0.6c in the positive y direction. Find the direction and magnitude of the electric field which will be reported by an observer in the frame F'. What magnetic field does this observer report?Explanation / Answer
FOLLOW THIS RULE THIS WILL HELP YOU A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0,0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, one can specify a point in a space of any dimension n by use of n Cartesian coordinates, the signed distances from n mutually perpendicular hyperplanes. Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x ? a)2 + (y ? b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. The invention of Cartesian coordinates in the 17th century by Ren
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