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Chapter 16-3 – The Electric Field
St. Augustine Preparatory School April 26, 2016
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The Electric Field All charged objects have an electric field set up around themselves.
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Different electric fields for difference
situations
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Electric Field To obtain the electric field of an object of interest, we use something called a test charge. A test charge is a small, positively charged object. The charge is a single positive charge, 1.60x10-19C
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The Test Charge The test charge must b kept small (one proton), or
else it may have an effect on the object that we are attempting to analyze.
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Electric Field Strength
Electric field strength depends on two things: The amount of charge present The distance between the two objects Formula (derivation and explanation on next slides):
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Electric Field Strength Derivation
We know from before: And if we can substitute Felec. Then:
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Electric Field Strength Formula
E = Electric Field Strength -> N/C kc = Coulomb’s Constant (8.99x109Nm2/C2) r2 = distance between the two charges -> m2 q = charge of the object of interest -> C
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Practice Problem The nucleus of an atom of silver contains 47 protons. What would the field strength of this nucleus be at a distance of 1.56x10-7m? (answer: 1.5x105N/C)
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Practice Problems 1. A dime and a nickel are electrically charged. The electric field strength around the dime is 4002 N/C. The nickel has a charge of uC. They are 20.0 cm apart. How much force is exerted on the nickel by the dime’s electric field? How big is the charge on the dime? 2. A cloud has –5.00 C of charge and is m above the earth. The ground gains C because of induction. How many electrons make up the C charge? What is the electric field strength of the cloud if a test charge is placed on the ground?
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Solutions 1. a N b. 1.8 x 10-8 C 2. a. 3.13x1019 electrons b. 1.12x106 N/C
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