The experimental value yielded a result of y = -100x + 10 and the theoretical yielded a -100 V/m. The percent error between the two values was 0.00%. The experiment showed that the theory of the relationship between equipotential lines and electric field lines hold true. Introduction: The objective of this lab was to analyze the nature of electric fields formed by two dipoles and two parallel line conductors using a digital voltmeter. The purpose is to test the theory that states equipotential lines always run perpendicular to electric field lines.
These are called variational principles and are usually expressed by stating that some integral is a maximum or a minimum. Minimization problems that can be analysed by the calculus of variations serve to characterize the equilibrium configurations of almost all continuous physical systems, ranging through elasticity, solid and fluid mechanics, electro-magnetism, gravitation, quantum mechanics, string theory, and many others. Many geometrical configurations, such as minimal surfaces, can be conveniently formulated as optimization
Determination of the molar mass of a chosen compound/element Fran Jurinec 1.M Introduction Molar mass is a physical property of a chemical element or substance which shows the mass per amount of substance. My task is to determine the molar mass of a product substance from one of the following equations: a. Zn(s) + 2HCl (aq) → ZnCl2 (aq) + H2 (g) b. CaCO3 (s) + 2HCl(aq) → CaCl2 (aq) + CO2 (g) + H2O(l) c. Na2SO3 (aq) + 2 HCl (aq) → 2NaCl (aq) + S (s) + SO2 (g) For my experiment, I chose to determine the molar mass of SO2, which is a product from the 2nd equation. For this experiment I have determined the independent, dependent and controlled variables and they are: Independent variables: Volume of HCl used [ V(HCl) ] Dependent:
The probability of the Monty hall problem can be calculated with the use of Bayes Theorem (Bayes). Before I do however, let me first show how the theorem is deduced, which will also give an understanding of what it is. First it starts with the basic equation of conditional probability. P(A∩B)=P(B)∙P(A│B). The conditional probability of both event A and B happening is calculated by the probability of the event B multiplied by the probability of event A given event B happens.
When a force is applied it relates to both the amount of force and the amount of time for which it is applied. What were Newton’s 3 Laws of motion? The First law of Motion for Newton states “A body in motion will remain at rest, and a body in motion will remain in motion unless it is acted upon by an external force.” It also states that things can’t start, stop, or change direction by themselves. The First Law of Motion is known as inertia. The Second Law of Motion states “the force acting on an object is equal to the mass of that object times the acceleration.
Lab Report 1 Logarithmic Plotting Devin Edwards ENGR 3070L CRN: 27194 January 17, 2018 Dr. Margraves Objective The purpose of this experiment is to graph and look at the logarithmic plots and write corresponding exponential equations that match the “Best Fit” line of the data points. Theory The data in Table 1 can be represented by the exponential equation given in equation 1 below. Equation 1 is also used for Cartesian plots: Q=KH^n (1) On this type of plot a straight line is drawn representing the slope intercept form in equation 2: y=mx+b (2) The variables are switched out allowing it to represent the same relationship in logarithmic form, where y is log(Q), x is log(H), n is m, and b is log(K): log(Q)=log(K)+n[log(H)] (3)
INTERNATIONAL ACADEMY AMMAN Extending the Domain of the Gamma Function Math Exploration Laila Hanandeh 11/10/2014 Table of Contents: Aim 2 Factorials 2 The Zero Factorial 2 Deducing the Gamma Function 3 Working Out Example 6 Analytical Continuation 9 Gamma Function Graphs 10 Real Life Applications 11 Aim: The Gamma Function is defined as an extension of the factorial function in which its argument is for complex and real numbers. (1) However, through my exploration I will determine a method to extend the domain of the gamma function to include complex numbers; this will be done through exploring the gamma function and the utilization of a process called analytical continuation. However before proceeding,
This explain why the feeling was normal (This explain why the person did not feel any force acting on it). Because the acceleration is 0m/s/s and considering the equation Fnet = ma, Fnet would be 0. Thus the individual’s weight, in the scenario of the cruising elevator would be the same as it was in the lab room because there was no net force acting upon
This equation gives us the point P(A) on sphere S corresponding to point A on the complex plane Z. The general equation for finding point (a,b,c) on S corresponding to point (x,y) on Z which is given being (Proof 2) Another way of looking at line L would be by connecting point ∞ to point P(A) in figure 3. Line L can be defined as: (University of Oxford, 2012) This is the same line L as in the first proof but in a different perspective that will help in explaining the next proof. The vector v, (a¦█(b@c-1)) is the vector used to move from point ∞ to point P(A). This can be found by subtracting the coordinates of point P(A) by the coordinates of point ∞.
It was natural for him to generalize the idea of WEP by arguing that there should be no way for the physicist inside the box to differentiate between gravitational field and uniform acceleration. This concept later came to be known as Einstein Equivalence principle. Hence Einstein Equivalence principle suggests that we should attribute effects of gravity to curvature of space-time. Einstein Equivalence principle also puts forth that there is no such thing a gravitationally neutral object with respect to which we can measure acceleration due to gravity. Hence it is more convenient for us to define ‘nonaccelerating bodies’ as ‘free-falling’.