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Figure 20-1 The rule for 1 determining the direction of force is: like charges repel; unlike charges attract

I also want to clarify what turned out to be the most difficult aspect of the project The layout shows the board as having six traces, which makes it 06 inches (152 mm) wide The inside diameter of the test tube is also approximately 06 inches, so when I first began the project I naively thought everything would fit together perfectly However, I ran into several problems along the way Figure 6-8 is a close-up photo of the top of the stripboard that finally worked, and Figure 6-9 shows the bottom of the same board As you can see from the pattern of partial holes along the top and bottom edges, the board ended up to be far less than 06 inches wide; in fact, it tapers from about 0525 inches (133 mm) at the connector end down to 0475 inches (121 mm) at the probe end This is because the test tube tapers along its length a fact that I failed to notice before I started! In addition to the unanticipated taper, the board is narrower than I intended because three factors prevented my placing the board at the midline of the test tube First, I wanted the probe (which is

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When the charges are measured in coulombs, the distance in meters, and the force in newtons, the constant, K, is 90 109 N m2/C2 The Coulomb s law equation gives the magnitude of the force that charge qA exerts on qB and also the force that qB exerts on qA These two forces are equal in magnitude but opposite in direction You can observe this example of Newton s third law of motion in action when you bring two strips of tape with like charges together Each exerts forces on the other If you bring a charged comb near either strip of tape, the strip, with its small mass, moves readily The acceleration of the comb and you is, of course, much less because of the much greater mass The electric force, like all other forces, is a vector quantity Force vectors need both a magnitude and a direction However, the Coulomb s law equation above gives only the magnitude of the force To determine the direction, you need to draw a diagram and interpret charge relations carefully If two positively charged objects, A and B, are brought near, the forces they exert on each other are repulsive, as shown in Figure 20-11a If, instead, B is negatively charged, the forces are attractive, as shown in Figure 20-11b

Use these steps to find the magnitude and direction of the force between charges 1 Sketch the system showing all distances and angles to scale 2 Diagram the vectors of the system 3 Use Coulomb s law to find the magnitude of the force 4 Use your diagram along with trigonometric relations to find the direction of the force 5 Perform all algebraic operations on both the numbers and the units Make sure that the units match the variables in question 6 Consider the magnitude of your answer Is it reasonable

The operators &, |, and ^ are usually used on integer data types, though they can also be applied to the bool type. The operators && and || differ from the single-character versions in that they perform short-circuit evaluation. In the following expression, b is evaluated only if a is true: a && b In the following expression, b is evaluated only if a is false: a || b

Coulomb s Law in Two Dimensions Sphere A, with a charge of 60 C, is located near another charged sphere, B Sphere B has a charge of 30 C and is located 40 cm to the right of A a What is the force of sphere B on sphere A b A third sphere, C, with a 15- C charge, is added to the configuration If it is located 30 cm directly beneath A, what is the new net force on sphere A

Establish coordinate axes and sketch the spheres Show and label the distances between the spheres Diagram and label the force vectors Known:

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