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1 A positive test charge of 50 10 6 C is in an electric field that exerts a force of 20 10 4 N on it What is the magnitude of the electric field at the location of the test charge 2 A negative charge of 20 10 8 C experiences a force of 0060 N to the right in an electric field What are the field s magnitude and direction at that location 3 A positive charge of 30 10 7 C is located in a field of 27 N/C directed toward the south What is the force acting on the charge 4 A pith ball weighing 21 10 3 N is placed in a downward electric field of 65 104 N/C What charge (magnitude and sign) must be placed on the pith ball so that the electric force acting on it will suspend it against the force of gravity 5 You are probing the electric field of a charge of unknown magnitude and sign You first map the field with a 10 10 6-C test charge, then repeat your work with a 20 10 6-C test charge a Would you measure the same forces at the same place with the two test charges Explain b Would you find the same field strengths Explain



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Electric Field Strength What is the electric field strength at a point that is 030 m to the right of a small sphere with a charge of 40 10 6 C

Draw and label the sphere and its charge, q, and the test charge, q Show and label the distance between the charges Diagram and label the force vector acting on q q 40 10 Known: Unknown:

Answer (for Objective 65):

The force and the magnitude of the test charge are unknown, so use Coulomb s law in combination with the electric field strength E

.

(90

( 40 10 6 C) (030 m)2





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class MyStuff implements Comparable<MyStuff> { MyStuff(String n, int v) { name = n; value = v; } String name; int value; public int compareTo(MyStuff m) { return namecompareTo(mname); // sort alphabetically // return value - mvalue; // 2nd answer, to sort ascending } public String toString() { return name + " " + value + " "; } }

40 10

030 m

Are the units correct (N m2/C2)(C)/m2 N/C The units work out to be N/C, which is correct for electric field strength Does the direction make sense The negative sign indicates that the positive test charge is attracted toward the negative point charge Is the magnitude realistic This field strength is consistent with the values listed in Table 21-1

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6 What is the magnitude of the electric field strength at a position that is 12 m from a point charge of 42 10 6 C 7 What is the magnitude of the electric field strength at a distance twice as far from the point charge in problem 6 8 What is the electric field at a position that is 16 m east of a point charge of 72 10 6 C 9 The electric field that is 025 m from a small sphere is 450 N/C toward the sphere What is the charge on the sphere 10 How far from a point charge of 24 10 be placed to measure a field of 360 N/C

Answer note: If you chose "mvalue - value", you re close This will sort the objects in value-descending sequence, which is a perfectly fine way to sort stuff, but it isn t considered natural

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