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Concept explainers
(a)
ToCalculate: The electric field in the regions
(a)
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Answer to Problem 86P
Explanation of Solution
Given information :
The radius of spherical capacitor
Charge
Inner radius of
Charge
Dielectric constants
Formula used :
Electric field:
Where, k is the Coulomb’s constant, Q is the charge,
Calculation:
The electric fields in the regions is
Conclusion:
The electric field in the regions
(b)
ToCalculate: TheIntegrate expression of
(b)
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Answer to Problem 86P
Explanation of Solution
Given information:
The radius of spherical capacitor
Charge
Inner radius of conducting spherical shell
Charge
Dielectric constants
Formula used:
Calculation:
Because the electric field is directed radially away from the center, the potential of the outer spherical shell is less than the potential of the inner sphere. Hence, the difference in potential between the spheres is given by:
Conclusion:
TheIntegrate expression of
(c)
ToCalculate: An expression for the capacitance of the system.
(c)
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Answer to Problem 86P
Explanation of Solution
Given information :
The radius of spherical capacitor
Charge
Inner radius of conducting spherical shell
Charge
Dielectric constants
Formula used :
The capacitance of the capacitor:
Q is the charge stored and V is the voltage.
Calculation:
Conclusion:
An expression for the capacitance of the system is,
(d)
ToShow:The answer from Part (c) simplifies to the expected one if the
(d)
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Explanation of Solution
Given information:
The radius of spherical capacitor
Charge
Inner radius of conducting spherical shell
Charge
Dielectric constants
Formula used:
The charge stored in the capacitor:
Where, C is the capacitance and V is the voltage.
Calculation:
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Chapter 24 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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