Relation between Field and Potential
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359528 At a certain distance from a point charge the electric field is 500 \(V\)/\(m\) and the potential is 3000 \(V\). What is this distance?

1 \(6\,m\)
2 \(144\,m\)
3 \(12\,m\)
4 \(36\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359529 \(A\), \(B\) and \(C\) are three points in a uniform electric field. The electric potential is
supporting img

1 Same at all the three points \(A\), \(B\) and \(C\)
2 Maximum at \(B\)
3 Maximum at \(A\)
4 Maximum at \(C\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359530 There is a uniform electrostatic field in a region.The potential at various points on a small sphere centred at \(p\), in the region, is found to vary between in limits 589.0 \(V\) to 589.8 \(V\). What is the potential at a point on the sphere whose radius vector makes an angle of \(60^\circ \) with the direction of the field ?

1 \(589.4\,V\)
2 \(589.5\,V\)
3 \(589.2\,V\)
4 \(589.6\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359531 Charges are placed on the vertices of a square as shown. Let \(E\) be electric field and \(V\) the potential at the centre. If the charges on \(A\) and \(B\) are interchanged with those on \(D\) and \(C\), respectively then
supporting img

1 Both \(\overrightarrow E \) and \(V\) change
2 \(\overrightarrow E \) and \(V\) remain unchanged.
3 \(\overrightarrow E \) changes, \(V\) remains unchanged.
4 \(\overrightarrow E \) remains unchanged, \(V\) changes.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359532 Let \(V\) be the electric potential at a given point. Then the electric field \({E_x}\) along x-direction at the point is given by

1 \( - V\frac{{dV}}{{d{\rm{x}}}}\)
2 \(\frac{{dV}}{{d{\rm{x}}}}\)
3 \( - \frac{{dV}}{{d{\rm{x}}}}\)
4 \(\int_0^\infty {V\,d{\rm{x}}} \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359528 At a certain distance from a point charge the electric field is 500 \(V\)/\(m\) and the potential is 3000 \(V\). What is this distance?

1 \(6\,m\)
2 \(144\,m\)
3 \(12\,m\)
4 \(36\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359529 \(A\), \(B\) and \(C\) are three points in a uniform electric field. The electric potential is
supporting img

1 Same at all the three points \(A\), \(B\) and \(C\)
2 Maximum at \(B\)
3 Maximum at \(A\)
4 Maximum at \(C\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359530 There is a uniform electrostatic field in a region.The potential at various points on a small sphere centred at \(p\), in the region, is found to vary between in limits 589.0 \(V\) to 589.8 \(V\). What is the potential at a point on the sphere whose radius vector makes an angle of \(60^\circ \) with the direction of the field ?

1 \(589.4\,V\)
2 \(589.5\,V\)
3 \(589.2\,V\)
4 \(589.6\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359531 Charges are placed on the vertices of a square as shown. Let \(E\) be electric field and \(V\) the potential at the centre. If the charges on \(A\) and \(B\) are interchanged with those on \(D\) and \(C\), respectively then
supporting img

1 Both \(\overrightarrow E \) and \(V\) change
2 \(\overrightarrow E \) and \(V\) remain unchanged.
3 \(\overrightarrow E \) changes, \(V\) remains unchanged.
4 \(\overrightarrow E \) remains unchanged, \(V\) changes.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359532 Let \(V\) be the electric potential at a given point. Then the electric field \({E_x}\) along x-direction at the point is given by

1 \( - V\frac{{dV}}{{d{\rm{x}}}}\)
2 \(\frac{{dV}}{{d{\rm{x}}}}\)
3 \( - \frac{{dV}}{{d{\rm{x}}}}\)
4 \(\int_0^\infty {V\,d{\rm{x}}} \)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359528 At a certain distance from a point charge the electric field is 500 \(V\)/\(m\) and the potential is 3000 \(V\). What is this distance?

1 \(6\,m\)
2 \(144\,m\)
3 \(12\,m\)
4 \(36\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359529 \(A\), \(B\) and \(C\) are three points in a uniform electric field. The electric potential is
supporting img

1 Same at all the three points \(A\), \(B\) and \(C\)
2 Maximum at \(B\)
3 Maximum at \(A\)
4 Maximum at \(C\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359530 There is a uniform electrostatic field in a region.The potential at various points on a small sphere centred at \(p\), in the region, is found to vary between in limits 589.0 \(V\) to 589.8 \(V\). What is the potential at a point on the sphere whose radius vector makes an angle of \(60^\circ \) with the direction of the field ?

1 \(589.4\,V\)
2 \(589.5\,V\)
3 \(589.2\,V\)
4 \(589.6\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359531 Charges are placed on the vertices of a square as shown. Let \(E\) be electric field and \(V\) the potential at the centre. If the charges on \(A\) and \(B\) are interchanged with those on \(D\) and \(C\), respectively then
supporting img

1 Both \(\overrightarrow E \) and \(V\) change
2 \(\overrightarrow E \) and \(V\) remain unchanged.
3 \(\overrightarrow E \) changes, \(V\) remains unchanged.
4 \(\overrightarrow E \) remains unchanged, \(V\) changes.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359532 Let \(V\) be the electric potential at a given point. Then the electric field \({E_x}\) along x-direction at the point is given by

1 \( - V\frac{{dV}}{{d{\rm{x}}}}\)
2 \(\frac{{dV}}{{d{\rm{x}}}}\)
3 \( - \frac{{dV}}{{d{\rm{x}}}}\)
4 \(\int_0^\infty {V\,d{\rm{x}}} \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359528 At a certain distance from a point charge the electric field is 500 \(V\)/\(m\) and the potential is 3000 \(V\). What is this distance?

1 \(6\,m\)
2 \(144\,m\)
3 \(12\,m\)
4 \(36\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359529 \(A\), \(B\) and \(C\) are three points in a uniform electric field. The electric potential is
supporting img

1 Same at all the three points \(A\), \(B\) and \(C\)
2 Maximum at \(B\)
3 Maximum at \(A\)
4 Maximum at \(C\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359530 There is a uniform electrostatic field in a region.The potential at various points on a small sphere centred at \(p\), in the region, is found to vary between in limits 589.0 \(V\) to 589.8 \(V\). What is the potential at a point on the sphere whose radius vector makes an angle of \(60^\circ \) with the direction of the field ?

1 \(589.4\,V\)
2 \(589.5\,V\)
3 \(589.2\,V\)
4 \(589.6\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359531 Charges are placed on the vertices of a square as shown. Let \(E\) be electric field and \(V\) the potential at the centre. If the charges on \(A\) and \(B\) are interchanged with those on \(D\) and \(C\), respectively then
supporting img

1 Both \(\overrightarrow E \) and \(V\) change
2 \(\overrightarrow E \) and \(V\) remain unchanged.
3 \(\overrightarrow E \) changes, \(V\) remains unchanged.
4 \(\overrightarrow E \) remains unchanged, \(V\) changes.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359532 Let \(V\) be the electric potential at a given point. Then the electric field \({E_x}\) along x-direction at the point is given by

1 \( - V\frac{{dV}}{{d{\rm{x}}}}\)
2 \(\frac{{dV}}{{d{\rm{x}}}}\)
3 \( - \frac{{dV}}{{d{\rm{x}}}}\)
4 \(\int_0^\infty {V\,d{\rm{x}}} \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359528 At a certain distance from a point charge the electric field is 500 \(V\)/\(m\) and the potential is 3000 \(V\). What is this distance?

1 \(6\,m\)
2 \(144\,m\)
3 \(12\,m\)
4 \(36\,m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359529 \(A\), \(B\) and \(C\) are three points in a uniform electric field. The electric potential is
supporting img

1 Same at all the three points \(A\), \(B\) and \(C\)
2 Maximum at \(B\)
3 Maximum at \(A\)
4 Maximum at \(C\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359530 There is a uniform electrostatic field in a region.The potential at various points on a small sphere centred at \(p\), in the region, is found to vary between in limits 589.0 \(V\) to 589.8 \(V\). What is the potential at a point on the sphere whose radius vector makes an angle of \(60^\circ \) with the direction of the field ?

1 \(589.4\,V\)
2 \(589.5\,V\)
3 \(589.2\,V\)
4 \(589.6\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359531 Charges are placed on the vertices of a square as shown. Let \(E\) be electric field and \(V\) the potential at the centre. If the charges on \(A\) and \(B\) are interchanged with those on \(D\) and \(C\), respectively then
supporting img

1 Both \(\overrightarrow E \) and \(V\) change
2 \(\overrightarrow E \) and \(V\) remain unchanged.
3 \(\overrightarrow E \) changes, \(V\) remains unchanged.
4 \(\overrightarrow E \) remains unchanged, \(V\) changes.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359532 Let \(V\) be the electric potential at a given point. Then the electric field \({E_x}\) along x-direction at the point is given by

1 \( - V\frac{{dV}}{{d{\rm{x}}}}\)
2 \(\frac{{dV}}{{d{\rm{x}}}}\)
3 \( - \frac{{dV}}{{d{\rm{x}}}}\)
4 \(\int_0^\infty {V\,d{\rm{x}}} \)