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Consider a spherical capacitor that is connected with a battery (not shown in the figure) consists of a solid spherical conductor and a spherical shell. The charge at it's core is  Q1=32nC  and it is  Q2=−Q1nC  on the spherical shell conductor covering the core (depicted in the figure-1). The solid spherical conductor at the core has radius  a=4cm . And the shell has inner radius  b=16cm  and outer radius  c=21cm . The space between the solid spherical conductor and spherical shell conductor is vacuum. Note that, all charges are in nano coulombs. And all coordinates are in centimeters. Given this information, answer the following questions: a)  Calculate the potential difference between the solid spherical conductor and spherical shell conductor. [Hint: In order to calculate potential you need to find the electric field. You can use Gauss's law for that.] absolute value of the potential difference Give your answer up to at least three significance digits.   volts  unanswered    b)  Calculate the capacitance of this spherical capacitor and draw a diagram representing the electric field configuration of this capacitor. capacitance Give your answer up to at least three significance digits.   F  unanswered    c)  If we place a dielectric material with dielectric constant  1.5  between the spherical conductors, (i) what is the stored charge in the spherical capacitor? and (ii) what is the potential difference between the spherical conductors? [Recall that battery is still connected to the capacitor] stored charge Give your answer up to at least three significance digits.   C  unanswered    potential difference

Consider a spherical capacitor that is connected with a battery (not shown in the figure) consists of a solid spherical conductor and a spherical shell. The charge at it's core is  Q1=32nC  and it is  Q2=−Q1nC  on the spherical shell conductor covering the core (depicted in the figure-1). The solid spherical conductor at the core has radius  a=4cm . And the shell has inner radius  b=16cm  and outer radius  c=21cm . The space between the solid spherical conductor and spherical shell conductor is vacuum. Note that, all charges are in nano coulombs. And all coordinates are in centimeters. Given this information, answer the following questions: a)  Calculate the potential difference between the solid spherical conductor and spherical shell conductor. [Hint: In order to calculate potential you need to find the electric field. You can use Gauss's law for that.] absolute value of the potential difference Give your answer up to at least three significance digits.   volts  unanswered    b)  Calculate the capacitance of this spherical capacitor and draw a diagram representing the electric field configuration of this capacitor. capacitance Give your answer up to at least three significance digits.   F  unanswered    c)  If we place a dielectric material with dielectric constant  1.5  between the spherical conductors, (i) what is the stored charge in the spherical capacitor? and (ii) what is the potential difference between the spherical conductors? [Recall that battery is still connected to the capacitor] stored charge Give your answer up to at least three significance digits.   C  unanswered    potential difference

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Consider a spherical capacitor that is connected with a battery (not shown in the figure) consists of a solid spherical conductor and a spherical shell. The charge at it's core is  Q1=32nC  and it is  Q2=−Q1nC  on the spherical shell conductor covering the core (depicted in the figure-1). The solid spherical conductor at the core has radius  a=4cm . And the shell has inner radius  b=16cm  and outer radius  c=21cm . The space between the solid spherical conductor and spherical shell conductor is vacuum. Note that, all charges are in nano coulombs. And all coordinates are in centimeters. Given this information, answer the following questions:

a)  Calculate the potential difference between the solid spherical conductor and spherical shell conductor. [Hint: In order to calculate potential you need to find the electric field. You can use Gauss's law for that.]

absolute value of the potential difference
Give your answer up to at least three significance digits.

  volts  unanswered 
 
b)  Calculate the capacitance of this spherical capacitor and draw a diagram representing the electric field configuration of this capacitor.

capacitance
Give your answer up to at least three significance digits.

  F  unanswered 
 
c)  If we place a dielectric material with dielectric constant  1.5  between the spherical conductors, (i) what is the stored charge in the spherical capacitor? and (ii) what is the potential difference between the spherical conductors? [Recall that battery is still connected to the capacitor]

stored charge
Give your answer up to at least three significance digits.

  C  unanswered 
 
potential difference 

Consider a spherical capacitor that is connected with a battery (not shown in the figure) consists of a solid spherical conductor and a spherical shell. The charge at it's core is Q1 = -27 nCånd it is Q2 = -Q1 nón the spherical shell conductor covering the core (depicted in the figure-1). The solid spherical conductor at the core has radius a = 6 cmAnd the shell has inner radius b = 14 cmand outer radius c = 20 cm The space between the solid spherical conductor and spherical shell conductor is vacuum. Note that, all charges are in nano coulombs. And all coordinates are in centimeters. Given this information, answer the following questions: b a
Transcribed Image Text:Consider a spherical capacitor that is connected with a battery (not shown in the figure) consists of a solid spherical conductor and a spherical shell. The charge at it's core is Q1 = -27 nCånd it is Q2 = -Q1 nón the spherical shell conductor covering the core (depicted in the figure-1). The solid spherical conductor at the core has radius a = 6 cmAnd the shell has inner radius b = 14 cmand outer radius c = 20 cm The space between the solid spherical conductor and spherical shell conductor is vacuum. Note that, all charges are in nano coulombs. And all coordinates are in centimeters. Given this information, answer the following questions: b a
a) Calculate the potential difference between the solid spherical conductor and spherical shell conductor. [Hint: In order to calculate potential you need to find the electric field. You can use Gauss's law for that] absolute value of the potential difference Give your answer up to at least three significance digits. volts b)Calculate the capacitance of this spherical capacitor and draw a diagram representing the electric field configuration of this capacitor. capacitance Give your answer up to at least three significance digits. F c) lf we place a dielectric material with dielectric constant 7.6 between the spherical conductors, (i) what is the stored charge in the spherical capacitor? and (ii) what is the potential difference between the spherical conductors? [Recall that battery is still connected to the capacitor] stored charge Give your answer up to at least three significance digits. C potential difference Give your answer up to at least three significance digits. volts
Transcribed Image Text:a) Calculate the potential difference between the solid spherical conductor and spherical shell conductor. [Hint: In order to calculate potential you need to find the electric field. You can use Gauss's law for that] absolute value of the potential difference Give your answer up to at least three significance digits. volts b)Calculate the capacitance of this spherical capacitor and draw a diagram representing the electric field configuration of this capacitor. capacitance Give your answer up to at least three significance digits. F c) lf we place a dielectric material with dielectric constant 7.6 between the spherical conductors, (i) what is the stored charge in the spherical capacitor? and (ii) what is the potential difference between the spherical conductors? [Recall that battery is still connected to the capacitor] stored charge Give your answer up to at least three significance digits. C potential difference Give your answer up to at least three significance digits. volts
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