An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The problem requires identifying the standard notation for a point in a 3D Cartesian coordinate system.
The standard notation uses three coordinates, representing the position along the x, y, and z axes.
The coordinates are enclosed in parentheses and separated by commas.
The standard notation is ( x , y , z ) .
Explanation
Analyze the problem The question asks us to identify the standard notation for a point in a three-dimensional Cartesian coordinate system from the given options.
Recall the standard notation In a three-dimensional Cartesian coordinate system, a point is typically represented by three coordinates, which specify its position along the x-axis, y-axis, and z-axis. The standard notation encloses these three coordinates in parentheses, separated by commas.
Compare options with the standard notation Now, let's examine the given options:
A. ( w , x , y ) : This notation uses w , x , and y as coordinates, which is not the standard convention. B. ( x , y , z ) : This notation uses x , y , and z as coordinates, which is the standard convention. C. ( x , y , v ) : This notation uses x , y , and v as coordinates, which is not the standard convention. D. x , y , z : This notation lists the coordinates without parentheses and commas, which is not the standard convention.
Identify the correct option Based on the analysis, the standard notation for a point in a three-dimensional Cartesian coordinate system is ( x , y , z ) .
State the final answer The correct answer is B. ( x , y , z ) .
Examples
Understanding coordinate systems is crucial in various fields. For example, in computer graphics, 3D coordinate systems are used to represent objects and scenes. Each point in the scene is defined by its x, y, and z coordinates, allowing the computer to accurately render the scene on a 2D screen. Similarly, in physics, the position of an object in space is described using a 3D coordinate system, which is essential for analyzing its motion and interactions with other objects.
The total charge delivered by a current of 15.0 A for 30 seconds is 450 C. This equates to approximately 2.81 x 10^21 electrons flowing through the device. Hence, about 2.81 trillion trillion electrons pass through the electric device during this time.
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