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A metal ball carrying a net charge of +7Q has two spherical cavities scooped out of it. a) What is the electric flux passing outwards through the imaginary surface? Compute this directly using ¢; SĒ- dÃ. %3D imaginary surface imaginary surface b) What can you therefore say about the charge enclosed by the imaginary surface? c) How much charge lies on the inner surface of the cavity? How is this charge distributed? net charge on conductor = +7Q d) Now draw another imaginary surface, this one enclosing the second cavity, and repeat questions (a) - (c) for this surface. In the center of the first cavity, a point charge -Q floats motionless in midair. The second cavity is empty. e) How much charge resides on the outer surface of the conductor? distributed? How is this arge Consider the imaginary surface indicated with dotted lines in the figure below. f) Sketch the electric field created by this object, both outside the conductor and within the cavities. g) What is the strength of the electric field within the first cavity, at a distance r from the

A metal ball carrying a net charge of +7Q has two spherical cavities scooped out of it. a) What is the electric flux passing outwards through the imaginary surface? Compute this directly using ¢; SĒ- dÃ. %3D imaginary surface imaginary surface b) What can you therefore say about the charge enclosed by the imaginary surface? c) How much charge lies on the inner surface of the cavity? How is this charge distributed? net charge on conductor = +7Q d) Now draw another imaginary surface, this one enclosing the second cavity, and repeat questions (a) - (c) for this surface. In the center of the first cavity, a point charge -Q floats motionless in midair. The second cavity is empty. e) How much charge resides on the outer surface of the conductor? distributed? How is this arge Consider the imaginary surface indicated with dotted lines in the figure below. f) Sketch the electric field created by this object, both outside the conductor and within the cavities. g) What is the strength of the electric field within the first cavity, at a distance r from the

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Please answer d, e and f
2. A metal ball carrying a net charge of +7Q has two spherical cavities scooped out of it. a) What is the electric flux passing outwards through the imaginary surface? Compute this directly using ¢; SSĒ• dÃ. imaginary surface imaginary surface b) What can you therefore say about the charge enclosed by the imaginary surface? c) How much charge lies on the inner surface of the cavity? How is this charge distributed? net charge on conductor =+7Q d) Now draw another imaginary surface, this one enclosing the second cavity, and repeat questions (a) - (c) for this surface. In the center of the first cavity, a point charge -Q floats motionless in midair. The second cavity is empty. e) How much charge resides on the outer surface of the conductor? How is this charge Consider the imaginary surface indicated with dotted lines in the figure below. distributed? f) Sketch the electric field created by this object, both outside the conductor and within the cavities. g) What is the strength of the electric field within the first cavity, at a distance r from the -Q point charge? h) What is the strength of the electric field within the second cavity, at a distance r from the center of the cavity? net charge on conductor = +7Q First of all, note that this imaginary surface encloses the first cavity. Second, notice that every point of this imaginary surface lies within the conducting material. i) What is the strength of the electric field outside the ball itself, at a distance r from the center of the ball? *
Transcribed Image Text:2. A metal ball carrying a net charge of +7Q has two spherical cavities scooped out of it. a) What is the electric flux passing outwards through the imaginary surface? Compute this directly using ¢; SSĒ• dÃ. imaginary surface imaginary surface b) What can you therefore say about the charge enclosed by the imaginary surface? c) How much charge lies on the inner surface of the cavity? How is this charge distributed? net charge on conductor =+7Q d) Now draw another imaginary surface, this one enclosing the second cavity, and repeat questions (a) - (c) for this surface. In the center of the first cavity, a point charge -Q floats motionless in midair. The second cavity is empty. e) How much charge resides on the outer surface of the conductor? How is this charge Consider the imaginary surface indicated with dotted lines in the figure below. distributed? f) Sketch the electric field created by this object, both outside the conductor and within the cavities. g) What is the strength of the electric field within the first cavity, at a distance r from the -Q point charge? h) What is the strength of the electric field within the second cavity, at a distance r from the center of the cavity? net charge on conductor = +7Q First of all, note that this imaginary surface encloses the first cavity. Second, notice that every point of this imaginary surface lies within the conducting material. i) What is the strength of the electric field outside the ball itself, at a distance r from the center of the ball? *
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