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A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be?
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A solid conducting sphere of radius a has net positive charge 2q.a con...
Calculation of Surface Charge Density on Inner and Outer Surface of Spherical Shell
Given Data:
- Radius of solid conducting sphere = a
- Net positive charge on solid conducting sphere = 2q
- Inner radius of conducting spherical shell = b
- Outer radius of conducting spherical shell = c
- Net charge on conducting spherical shell = -Q
Calculation of Charge on Conducting Spherical Shell:
- Total charge on solid conducting sphere = 2q
- As the system is in equilibrium, the net charge on the outer surface of the solid conducting sphere is zero.
- Therefore, the charge on the inner surface of the conducting shell = 2q
- As per the principle of charge conservation, the net charge on the conducting spherical shell = -Q
- Therefore, the charge on the outer surface of the conducting shell = -Q - 2q
- Hence, the charge on the inner surface of the conducting shell = 2q and the charge on the outer surface of the conducting shell = -Q - 2q
Calculation of Surface Charge Density:
- The surface charge density on the inner surface of the conducting shell can be calculated as follows:
- Surface area of the inner surface of the conducting shell = 4πb^2
- Charge on the inner surface of the conducting shell = 2q
- Therefore, surface charge density on the inner surface of the conducting shell = (2q) / (4πb^2)
- The surface charge density on the outer surface of the conducting shell can be calculated as follows:
- Surface area of the outer surface of the conducting shell = 4πc^2
- Charge on the outer surface of the conducting shell = -Q - 2q
- Therefore, surface charge density on the outer surface of the conducting shell = (-Q - 2q) / (4πc^2)
Final Answer:
- The surface charge density on the inner surface of the conducting shell is (2q) / (4πb^2)
- The surface charge density on the outer surface of the conducting shell is (-Q - 2q) / (4πc^2)
Community Answer
A solid conducting sphere of radius a has net positive charge 2q.a con...
On inner surface , charge density =. -2q /4πb^2
on outer surface , charge density = -Q / 4πc^2
on outer surface , charge density = -Q / 4πc^2
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A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be?
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A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be?.
A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid conducting sphere of radius a has net positive charge 2q.a conductinh spherical shell of inner radius b and outer radius c is concentric with solid sphere and has net charge -Q.the surface charge density on inner and outer surface of spherical shell will be?.
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