Continuous Charge Distribution
PHXII01:ELECTRIC CHARGES AND FIELDS

358007 The electric field at a distance \(\frac{{3R}}{2}\) from the centre of a charged conducting spherical shell of radius \(R\) is \(E\). The electric field at distance \(\frac{R}{2}\) from the centre of the sphere is

1 \(E/2\)
2 \({\rm{Zero}}\)
3 \(E/3\)
4 \(E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358008 The surface density on the copper sphere is \(\sigma \). The electric field strength on the surface of the sphere is

1 \(\sigma \)
2 \(\sigma /2\)
3 \(\sigma /2{ \in _0}\)
4 \(\sigma /{ \in _0}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358009 A thin metallic spherical shell contains a charge \(Q\) on it. A point charge \(q\) is placed at the centre of the shell and another charge \({q_1}\) is placed outside it as shown in the figure. All the three charges are positive.
The Force on the charge at the centre is
supporting img

1 towards left
2 towards right
3 upward
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358010 A spherical conductor of radius 10 \(cm\) has a charge of \(3.2 \times {10^{ - 7}}\,C\) distributed uniformly. What is the magnitude of electric field at a point 15 \(cm\) from the centre of the sphere?
\(\left( {\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{C^2}} \right)\)

1 \(1.28 \times {10^5}N/C\)
2 \(1.28 \times {10^6}N/C\)
3 \(1.28 \times {10^7}N/C\)
4 \(1.28 \times {10^4}N/C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358007 The electric field at a distance \(\frac{{3R}}{2}\) from the centre of a charged conducting spherical shell of radius \(R\) is \(E\). The electric field at distance \(\frac{R}{2}\) from the centre of the sphere is

1 \(E/2\)
2 \({\rm{Zero}}\)
3 \(E/3\)
4 \(E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358008 The surface density on the copper sphere is \(\sigma \). The electric field strength on the surface of the sphere is

1 \(\sigma \)
2 \(\sigma /2\)
3 \(\sigma /2{ \in _0}\)
4 \(\sigma /{ \in _0}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358009 A thin metallic spherical shell contains a charge \(Q\) on it. A point charge \(q\) is placed at the centre of the shell and another charge \({q_1}\) is placed outside it as shown in the figure. All the three charges are positive.
The Force on the charge at the centre is
supporting img

1 towards left
2 towards right
3 upward
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358010 A spherical conductor of radius 10 \(cm\) has a charge of \(3.2 \times {10^{ - 7}}\,C\) distributed uniformly. What is the magnitude of electric field at a point 15 \(cm\) from the centre of the sphere?
\(\left( {\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{C^2}} \right)\)

1 \(1.28 \times {10^5}N/C\)
2 \(1.28 \times {10^6}N/C\)
3 \(1.28 \times {10^7}N/C\)
4 \(1.28 \times {10^4}N/C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358007 The electric field at a distance \(\frac{{3R}}{2}\) from the centre of a charged conducting spherical shell of radius \(R\) is \(E\). The electric field at distance \(\frac{R}{2}\) from the centre of the sphere is

1 \(E/2\)
2 \({\rm{Zero}}\)
3 \(E/3\)
4 \(E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358008 The surface density on the copper sphere is \(\sigma \). The electric field strength on the surface of the sphere is

1 \(\sigma \)
2 \(\sigma /2\)
3 \(\sigma /2{ \in _0}\)
4 \(\sigma /{ \in _0}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358009 A thin metallic spherical shell contains a charge \(Q\) on it. A point charge \(q\) is placed at the centre of the shell and another charge \({q_1}\) is placed outside it as shown in the figure. All the three charges are positive.
The Force on the charge at the centre is
supporting img

1 towards left
2 towards right
3 upward
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358010 A spherical conductor of radius 10 \(cm\) has a charge of \(3.2 \times {10^{ - 7}}\,C\) distributed uniformly. What is the magnitude of electric field at a point 15 \(cm\) from the centre of the sphere?
\(\left( {\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{C^2}} \right)\)

1 \(1.28 \times {10^5}N/C\)
2 \(1.28 \times {10^6}N/C\)
3 \(1.28 \times {10^7}N/C\)
4 \(1.28 \times {10^4}N/C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358007 The electric field at a distance \(\frac{{3R}}{2}\) from the centre of a charged conducting spherical shell of radius \(R\) is \(E\). The electric field at distance \(\frac{R}{2}\) from the centre of the sphere is

1 \(E/2\)
2 \({\rm{Zero}}\)
3 \(E/3\)
4 \(E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358008 The surface density on the copper sphere is \(\sigma \). The electric field strength on the surface of the sphere is

1 \(\sigma \)
2 \(\sigma /2\)
3 \(\sigma /2{ \in _0}\)
4 \(\sigma /{ \in _0}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358009 A thin metallic spherical shell contains a charge \(Q\) on it. A point charge \(q\) is placed at the centre of the shell and another charge \({q_1}\) is placed outside it as shown in the figure. All the three charges are positive.
The Force on the charge at the centre is
supporting img

1 towards left
2 towards right
3 upward
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358010 A spherical conductor of radius 10 \(cm\) has a charge of \(3.2 \times {10^{ - 7}}\,C\) distributed uniformly. What is the magnitude of electric field at a point 15 \(cm\) from the centre of the sphere?
\(\left( {\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{C^2}} \right)\)

1 \(1.28 \times {10^5}N/C\)
2 \(1.28 \times {10^6}N/C\)
3 \(1.28 \times {10^7}N/C\)
4 \(1.28 \times {10^4}N/C\)