An insulating spherical shell with inner radius 25.0 cm and outer radius 60.0 cm

Question

An insulating spherical shell with inner radius 25.0 cm and outer radius 60.0 cm carries a charge of + 150.0 ?C uniformly distributed over its outer surface. Point a is at the center of the shell, point bis on the inner surface and point c is on the outer surface.

Part A

What will a voltmeter read if it is connected between a and b?

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Part B

What will a voltmeter read if it is connected between b and c?

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Part C

What will a voltmeter read if it is connected between c and infinity?

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Part D

What will a voltmeter read if it is connected between a and c?

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Part E

Which point is at higher potential, a or b?

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Part F

Which point is at higher potential, b or c?

An insulating spherical shell with inner radius 25.0 cm and outer radius 60.0 cm carries a charge of + 150.0 ?C uniformly distributed over its outer surface. Point a is at the center of the shell, point bis on the inner surface and point c is on the outer surface.

Part A

What will a voltmeter read if it is connected between a and b?

?Vab =   V  

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Part B

What will a voltmeter read if it is connected between b and c?

?Vbc =   V  

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Part C

What will a voltmeter read if it is connected between c and infinity?

?Vc? =   V  

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Part D

What will a voltmeter read if it is connected between a and c?

?Vac =   V  

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Part E

Which point is at higher potential, a or b?

Which point is at higher potential,  or ? a is at higher potential than b b is at higher potential than a a and b have equal potentials

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Part F

Which point is at higher potential, b or c?

Which point is at higher potential,  or ? b is at higher potential than c c is at higher potential than b b and c have equal potentials

Explanation / Answer

note: potential at any point inside the shell is zero

PART A
here a and b both are inside the shell
they both have zero potential
so volt meter reads zero


PART B
potential at b = 0volt
potential at c= kq/r
=(9*10^9*150*10^-6)/0.6
=2250*10^3
voltmeter reads 250*10^3
PART C
at infinity potential = 0 volt
so volt meter reads

PART D
same as part B

PART E
both are equipotential

PART F
c is at higher potential

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