Electrostatics of Conductors
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359435 Find the potential at the surface of outer sphere.
supporting img

1 \({\dfrac{3 \sigma R}{\varepsilon_{0}}}\)
2 \({\dfrac{-4 \sigma R}{\varepsilon_{0}}}\)
3 \({\dfrac{-3}{2} \dfrac{\sigma R}{\varepsilon_{0}}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359436 Two concentric spheres of radii \({R}\) and \({2 R}\) are charged. The inner sphere has a charge of \(1\,\mu C\) and the outer sphere has a charge of \(2\,\mu C\) of the same sign. The potential is \(9000\,V\) at a distance \({3 R}\) from the common centre. The value of \({R}\) is

1 \(3\,m\)
2 \(1\,m\)
3 \(5\,m\)
4 \(4\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359437 Two concentric spheres of radil \(R\) and \(r\) have positive charges \({q_1}\,{\rm{and}}\,{q_2}\) with equal surface charge densities. What is the electric potential at their common centre ?

1 \(\frac{\sigma }{{{ \in _0}}}\;(R\; + \;r)\)
2 \(\frac{\sigma }{{{ \in _0}}}\;(R\; - \;r)\)
3 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{1}{R}\; + \;\frac{1}{r}} \right)\)
4 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{R}{r}} \right)\)
KCET - 2016
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359438 A point charge \(q\) is placed inside a conducting spherical shell of inner radius 2\(R\) and outer radius 3\(R\) at a distance of \(R\) from the center of the shell. Find the electric potential at the center of the shell.

1 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{{2R}}\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{4q}}{{3R}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{5q}}{{6R}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{2q}}{{3R}}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359435 Find the potential at the surface of outer sphere.
supporting img

1 \({\dfrac{3 \sigma R}{\varepsilon_{0}}}\)
2 \({\dfrac{-4 \sigma R}{\varepsilon_{0}}}\)
3 \({\dfrac{-3}{2} \dfrac{\sigma R}{\varepsilon_{0}}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359436 Two concentric spheres of radii \({R}\) and \({2 R}\) are charged. The inner sphere has a charge of \(1\,\mu C\) and the outer sphere has a charge of \(2\,\mu C\) of the same sign. The potential is \(9000\,V\) at a distance \({3 R}\) from the common centre. The value of \({R}\) is

1 \(3\,m\)
2 \(1\,m\)
3 \(5\,m\)
4 \(4\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359437 Two concentric spheres of radil \(R\) and \(r\) have positive charges \({q_1}\,{\rm{and}}\,{q_2}\) with equal surface charge densities. What is the electric potential at their common centre ?

1 \(\frac{\sigma }{{{ \in _0}}}\;(R\; + \;r)\)
2 \(\frac{\sigma }{{{ \in _0}}}\;(R\; - \;r)\)
3 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{1}{R}\; + \;\frac{1}{r}} \right)\)
4 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{R}{r}} \right)\)
KCET - 2016
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359438 A point charge \(q\) is placed inside a conducting spherical shell of inner radius 2\(R\) and outer radius 3\(R\) at a distance of \(R\) from the center of the shell. Find the electric potential at the center of the shell.

1 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{{2R}}\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{4q}}{{3R}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{5q}}{{6R}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{2q}}{{3R}}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359435 Find the potential at the surface of outer sphere.
supporting img

1 \({\dfrac{3 \sigma R}{\varepsilon_{0}}}\)
2 \({\dfrac{-4 \sigma R}{\varepsilon_{0}}}\)
3 \({\dfrac{-3}{2} \dfrac{\sigma R}{\varepsilon_{0}}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359436 Two concentric spheres of radii \({R}\) and \({2 R}\) are charged. The inner sphere has a charge of \(1\,\mu C\) and the outer sphere has a charge of \(2\,\mu C\) of the same sign. The potential is \(9000\,V\) at a distance \({3 R}\) from the common centre. The value of \({R}\) is

1 \(3\,m\)
2 \(1\,m\)
3 \(5\,m\)
4 \(4\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359437 Two concentric spheres of radil \(R\) and \(r\) have positive charges \({q_1}\,{\rm{and}}\,{q_2}\) with equal surface charge densities. What is the electric potential at their common centre ?

1 \(\frac{\sigma }{{{ \in _0}}}\;(R\; + \;r)\)
2 \(\frac{\sigma }{{{ \in _0}}}\;(R\; - \;r)\)
3 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{1}{R}\; + \;\frac{1}{r}} \right)\)
4 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{R}{r}} \right)\)
KCET - 2016
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359438 A point charge \(q\) is placed inside a conducting spherical shell of inner radius 2\(R\) and outer radius 3\(R\) at a distance of \(R\) from the center of the shell. Find the electric potential at the center of the shell.

1 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{{2R}}\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{4q}}{{3R}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{5q}}{{6R}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{2q}}{{3R}}\)
For More Updates join with Us
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359435 Find the potential at the surface of outer sphere.
supporting img

1 \({\dfrac{3 \sigma R}{\varepsilon_{0}}}\)
2 \({\dfrac{-4 \sigma R}{\varepsilon_{0}}}\)
3 \({\dfrac{-3}{2} \dfrac{\sigma R}{\varepsilon_{0}}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359436 Two concentric spheres of radii \({R}\) and \({2 R}\) are charged. The inner sphere has a charge of \(1\,\mu C\) and the outer sphere has a charge of \(2\,\mu C\) of the same sign. The potential is \(9000\,V\) at a distance \({3 R}\) from the common centre. The value of \({R}\) is

1 \(3\,m\)
2 \(1\,m\)
3 \(5\,m\)
4 \(4\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359437 Two concentric spheres of radil \(R\) and \(r\) have positive charges \({q_1}\,{\rm{and}}\,{q_2}\) with equal surface charge densities. What is the electric potential at their common centre ?

1 \(\frac{\sigma }{{{ \in _0}}}\;(R\; + \;r)\)
2 \(\frac{\sigma }{{{ \in _0}}}\;(R\; - \;r)\)
3 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{1}{R}\; + \;\frac{1}{r}} \right)\)
4 \(\frac{\sigma }{{{ \in _0}}}\;\left( {\frac{R}{r}} \right)\)
KCET - 2016
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359438 A point charge \(q\) is placed inside a conducting spherical shell of inner radius 2\(R\) and outer radius 3\(R\) at a distance of \(R\) from the center of the shell. Find the electric potential at the center of the shell.

1 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{{2R}}\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{4q}}{{3R}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{5q}}{{6R}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{2q}}{{3R}}\)
NEET DIGITAL LIBRARY