EXAMPLE Problem 1 Coulomb's Law in Two Dimensions Sphere A, with a charge of +6.0 μC, is located near another charged sphere, B. Sphere B has a charge of -3.0 μC and is located 4.0 cm to the right of A. a. What is the force of sphere B on sphere A? b. A third sphere, C, with a +1.5-μC charge, is added to the configuration. If it is located 3.0 cm directly beneath A, what is the new net force on sphere A? Analyze and Sketch the Problem . Establish coordinate axes and sketch the spheres. +y Show and label the distances between A B the spheres. . Diagram and label the force vectors. q8 Known: Unknown: 9A= +6.0 μC AB= 4.0 cm FB on A = ? = 98 -3.0 μC ГАС = 3.0 cm FC on A = ? 9c = +1.5 μC Fnet = ? 2 Solve for the Unknown a. Find the force of sphere B on sphere A. FB on A = K² AB TAB +x FAC TAB QA qc 109 Nm² FC on

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Chapter24: Gauss’s Law
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Problem 24.7CQ: A person is placed in a large, hollow, metallic sphere that is insulated from ground, (a) If a large...
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EXAMPLE Problem 1
Coulomb's Law in Two Dimensions Sphere A, with a charge of +6.0 μC, is located near
another charged sphere, B. Sphere B has a charge of -3.0 μC and is located 4.0 cm to
the right of A.
a. What is the force of sphere B on sphere A?
b. A third sphere, C, with a +1.5-μC charge, is added to the configuration. If it is located
3.0 cm directly beneath A, what is the new net force on sphere A?
Analyze and Sketch the Problem
.
Establish coordinate axes and sketch the spheres.
B
P
.
Show and label the distances between
the spheres.
TAB
qв
.
Diagram and label the force vectors.
Known:
Unknown:
= 4.0 cm
9A= +6.0 μC
= ?
FB on A
=
98 = -3.0 μC
ГАС
3.0 cm
FC on A = ?
9c = +1.5 μC
Fnet = ?
2 Solve for the Unknown
a. Find the force of sphere B on sphere A.
9A98
FB on A
=
AB
AB
FAC
QA
qc
с
9109 Nm²
(²
FC on A
Transcribed Image Text:EXAMPLE Problem 1 Coulomb's Law in Two Dimensions Sphere A, with a charge of +6.0 μC, is located near another charged sphere, B. Sphere B has a charge of -3.0 μC and is located 4.0 cm to the right of A. a. What is the force of sphere B on sphere A? b. A third sphere, C, with a +1.5-μC charge, is added to the configuration. If it is located 3.0 cm directly beneath A, what is the new net force on sphere A? Analyze and Sketch the Problem . Establish coordinate axes and sketch the spheres. B P . Show and label the distances between the spheres. TAB qв . Diagram and label the force vectors. Known: Unknown: = 4.0 cm 9A= +6.0 μC = ? FB on A = 98 = -3.0 μC ГАС 3.0 cm FC on A = ? 9c = +1.5 μC Fnet = ? 2 Solve for the Unknown a. Find the force of sphere B on sphere A. 9A98 FB on A = AB AB FAC QA qc с 9109 Nm² (² FC on A
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