Relation between Field and Potential
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359571 An electric field \(\overrightarrow E = (25\hat i + 30\hat j)N{C^{ - 1}}\) exists in a region of space. If the potential at the origin is taken to be zero then the potential at \(x = 2\,m,y = 2m\) is:

1 \( - 110\,V\)
2 \( - 140\,V\)
3 \( - 120\,V\)
4 \( - 130\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359572 The electrostatic potential inside a charged spherical ball is given by \(\phi = a{r^2} + b\) where \(r\) is the distance from the centre; \(a,b\) are constants. Then the charge density inside the ball is

1 \( - 24\pi a{\varepsilon _0}r\)
2 \( - 6\pi a{\varepsilon _0}r\)
3 \( - 24\pi a{\varepsilon _0}\)
4 \( - 6a{\varepsilon _0}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359517 I. At the surface of a charged conductor, electrostatic field must be normal to the surface at everypoint
II. The interior of a solid conductor can have no charge in static situation.
III. For a uniform electric field along Y-axis the equipotential surfaces will be in xy plane.

1 I is correct, II is incorrect
2 I and III are correct
3 I,II and III are incorrect
4 I and II are correct
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359571 An electric field \(\overrightarrow E = (25\hat i + 30\hat j)N{C^{ - 1}}\) exists in a region of space. If the potential at the origin is taken to be zero then the potential at \(x = 2\,m,y = 2m\) is:

1 \( - 110\,V\)
2 \( - 140\,V\)
3 \( - 120\,V\)
4 \( - 130\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359572 The electrostatic potential inside a charged spherical ball is given by \(\phi = a{r^2} + b\) where \(r\) is the distance from the centre; \(a,b\) are constants. Then the charge density inside the ball is

1 \( - 24\pi a{\varepsilon _0}r\)
2 \( - 6\pi a{\varepsilon _0}r\)
3 \( - 24\pi a{\varepsilon _0}\)
4 \( - 6a{\varepsilon _0}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359517 I. At the surface of a charged conductor, electrostatic field must be normal to the surface at everypoint
II. The interior of a solid conductor can have no charge in static situation.
III. For a uniform electric field along Y-axis the equipotential surfaces will be in xy plane.

1 I is correct, II is incorrect
2 I and III are correct
3 I,II and III are incorrect
4 I and II are correct
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359571 An electric field \(\overrightarrow E = (25\hat i + 30\hat j)N{C^{ - 1}}\) exists in a region of space. If the potential at the origin is taken to be zero then the potential at \(x = 2\,m,y = 2m\) is:

1 \( - 110\,V\)
2 \( - 140\,V\)
3 \( - 120\,V\)
4 \( - 130\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359572 The electrostatic potential inside a charged spherical ball is given by \(\phi = a{r^2} + b\) where \(r\) is the distance from the centre; \(a,b\) are constants. Then the charge density inside the ball is

1 \( - 24\pi a{\varepsilon _0}r\)
2 \( - 6\pi a{\varepsilon _0}r\)
3 \( - 24\pi a{\varepsilon _0}\)
4 \( - 6a{\varepsilon _0}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359517 I. At the surface of a charged conductor, electrostatic field must be normal to the surface at everypoint
II. The interior of a solid conductor can have no charge in static situation.
III. For a uniform electric field along Y-axis the equipotential surfaces will be in xy plane.

1 I is correct, II is incorrect
2 I and III are correct
3 I,II and III are incorrect
4 I and II are correct