Electrostatic Potential
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359366 Potential at the centre due to charged arc is
supporting img

1 \({\dfrac{\lambda}{2 \varepsilon_{0}}}\)
2 \({\dfrac{\lambda}{3 \varepsilon_{0}}}\)
3 \({\dfrac{\lambda}{4 \varepsilon_{0}}}\)
4 \({\dfrac{\lambda}{6 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359367 A circular ring carries a uniformly distributed positive charge. The electric field (\(E\)) and potential (\(V\)) varies with distance (\(r\)) from the centre of the ring along its axis as
supporting img

1 \(b\) and \(c\) are true
2 \(a,b,c,d\) are true
3 \(a\) is true
4 \(a,b,c\) are true
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359368 An arc of radius \(r\) carries charge. The linear density of charge is \(\lambda\) and the arc subtends an angle \(\dfrac{\pi}{3}\) at the centre. What is Electric potential at the centre?

1 \(\dfrac{\lambda}{4 \varepsilon_{0}}\)
2 \(\dfrac{\lambda}{8 \varepsilon_{0}}\)
3 \(\dfrac{\lambda}{12 \varepsilon_{0}}\)
4 \(\dfrac{\lambda}{16 \varepsilon_{0}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359369 The arrangement shown consists of three elements.
supporting img

(i) A thin rod of charge \( - 3.0\,\mu C\) that forms a full circle of radius \(6.0\,cm\).
(ii) A second thin rod charge \(2.0\,\mu C\) that forms a circular arc of radius \(4.0\,cm\) and concentric with the full circle, subtending an angle of \(90^\circ \) at the centre of the full circle.
(iii) An electric dipole with a dipole moment that is perpendicular to a radial line and has magnitude \(1.28 \times {10^{ - 21}}C\)-\(m.\)
The net electric potential in volts at the centre is

1 0
2 2
3 1
4 4
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359370 Match the Column I and Column II
Column I
Column II
A
Electric potential near isolated positive charge
P
Negative
B
Electric potential near an isolated negative charge
Q
Positive
C
Electric potential due to a charge at its own location
R
Inversely of radius
D
Electric potential by a point charge varies
S
Infinite

1 A - Q, B - P, C - S, D - R
2 A - P, B - R, C - S, D - Q
3 A - S, B - P, C - R, D - S
4 A - R, B - Q, C - P, D - S
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359366 Potential at the centre due to charged arc is
supporting img

1 \({\dfrac{\lambda}{2 \varepsilon_{0}}}\)
2 \({\dfrac{\lambda}{3 \varepsilon_{0}}}\)
3 \({\dfrac{\lambda}{4 \varepsilon_{0}}}\)
4 \({\dfrac{\lambda}{6 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359367 A circular ring carries a uniformly distributed positive charge. The electric field (\(E\)) and potential (\(V\)) varies with distance (\(r\)) from the centre of the ring along its axis as
supporting img

1 \(b\) and \(c\) are true
2 \(a,b,c,d\) are true
3 \(a\) is true
4 \(a,b,c\) are true
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359368 An arc of radius \(r\) carries charge. The linear density of charge is \(\lambda\) and the arc subtends an angle \(\dfrac{\pi}{3}\) at the centre. What is Electric potential at the centre?

1 \(\dfrac{\lambda}{4 \varepsilon_{0}}\)
2 \(\dfrac{\lambda}{8 \varepsilon_{0}}\)
3 \(\dfrac{\lambda}{12 \varepsilon_{0}}\)
4 \(\dfrac{\lambda}{16 \varepsilon_{0}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359369 The arrangement shown consists of three elements.
supporting img

(i) A thin rod of charge \( - 3.0\,\mu C\) that forms a full circle of radius \(6.0\,cm\).
(ii) A second thin rod charge \(2.0\,\mu C\) that forms a circular arc of radius \(4.0\,cm\) and concentric with the full circle, subtending an angle of \(90^\circ \) at the centre of the full circle.
(iii) An electric dipole with a dipole moment that is perpendicular to a radial line and has magnitude \(1.28 \times {10^{ - 21}}C\)-\(m.\)
The net electric potential in volts at the centre is

1 0
2 2
3 1
4 4
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359370 Match the Column I and Column II
Column I
Column II
A
Electric potential near isolated positive charge
P
Negative
B
Electric potential near an isolated negative charge
Q
Positive
C
Electric potential due to a charge at its own location
R
Inversely of radius
D
Electric potential by a point charge varies
S
Infinite

1 A - Q, B - P, C - S, D - R
2 A - P, B - R, C - S, D - Q
3 A - S, B - P, C - R, D - S
4 A - R, B - Q, C - P, D - S
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359366 Potential at the centre due to charged arc is
supporting img

1 \({\dfrac{\lambda}{2 \varepsilon_{0}}}\)
2 \({\dfrac{\lambda}{3 \varepsilon_{0}}}\)
3 \({\dfrac{\lambda}{4 \varepsilon_{0}}}\)
4 \({\dfrac{\lambda}{6 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359367 A circular ring carries a uniformly distributed positive charge. The electric field (\(E\)) and potential (\(V\)) varies with distance (\(r\)) from the centre of the ring along its axis as
supporting img

1 \(b\) and \(c\) are true
2 \(a,b,c,d\) are true
3 \(a\) is true
4 \(a,b,c\) are true
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359368 An arc of radius \(r\) carries charge. The linear density of charge is \(\lambda\) and the arc subtends an angle \(\dfrac{\pi}{3}\) at the centre. What is Electric potential at the centre?

1 \(\dfrac{\lambda}{4 \varepsilon_{0}}\)
2 \(\dfrac{\lambda}{8 \varepsilon_{0}}\)
3 \(\dfrac{\lambda}{12 \varepsilon_{0}}\)
4 \(\dfrac{\lambda}{16 \varepsilon_{0}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359369 The arrangement shown consists of three elements.
supporting img

(i) A thin rod of charge \( - 3.0\,\mu C\) that forms a full circle of radius \(6.0\,cm\).
(ii) A second thin rod charge \(2.0\,\mu C\) that forms a circular arc of radius \(4.0\,cm\) and concentric with the full circle, subtending an angle of \(90^\circ \) at the centre of the full circle.
(iii) An electric dipole with a dipole moment that is perpendicular to a radial line and has magnitude \(1.28 \times {10^{ - 21}}C\)-\(m.\)
The net electric potential in volts at the centre is

1 0
2 2
3 1
4 4
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359370 Match the Column I and Column II
Column I
Column II
A
Electric potential near isolated positive charge
P
Negative
B
Electric potential near an isolated negative charge
Q
Positive
C
Electric potential due to a charge at its own location
R
Inversely of radius
D
Electric potential by a point charge varies
S
Infinite

1 A - Q, B - P, C - S, D - R
2 A - P, B - R, C - S, D - Q
3 A - S, B - P, C - R, D - S
4 A - R, B - Q, C - P, D - S
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359366 Potential at the centre due to charged arc is
supporting img

1 \({\dfrac{\lambda}{2 \varepsilon_{0}}}\)
2 \({\dfrac{\lambda}{3 \varepsilon_{0}}}\)
3 \({\dfrac{\lambda}{4 \varepsilon_{0}}}\)
4 \({\dfrac{\lambda}{6 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359367 A circular ring carries a uniformly distributed positive charge. The electric field (\(E\)) and potential (\(V\)) varies with distance (\(r\)) from the centre of the ring along its axis as
supporting img

1 \(b\) and \(c\) are true
2 \(a,b,c,d\) are true
3 \(a\) is true
4 \(a,b,c\) are true
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359368 An arc of radius \(r\) carries charge. The linear density of charge is \(\lambda\) and the arc subtends an angle \(\dfrac{\pi}{3}\) at the centre. What is Electric potential at the centre?

1 \(\dfrac{\lambda}{4 \varepsilon_{0}}\)
2 \(\dfrac{\lambda}{8 \varepsilon_{0}}\)
3 \(\dfrac{\lambda}{12 \varepsilon_{0}}\)
4 \(\dfrac{\lambda}{16 \varepsilon_{0}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359369 The arrangement shown consists of three elements.
supporting img

(i) A thin rod of charge \( - 3.0\,\mu C\) that forms a full circle of radius \(6.0\,cm\).
(ii) A second thin rod charge \(2.0\,\mu C\) that forms a circular arc of radius \(4.0\,cm\) and concentric with the full circle, subtending an angle of \(90^\circ \) at the centre of the full circle.
(iii) An electric dipole with a dipole moment that is perpendicular to a radial line and has magnitude \(1.28 \times {10^{ - 21}}C\)-\(m.\)
The net electric potential in volts at the centre is

1 0
2 2
3 1
4 4
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359370 Match the Column I and Column II
Column I
Column II
A
Electric potential near isolated positive charge
P
Negative
B
Electric potential near an isolated negative charge
Q
Positive
C
Electric potential due to a charge at its own location
R
Inversely of radius
D
Electric potential by a point charge varies
S
Infinite

1 A - Q, B - P, C - S, D - R
2 A - P, B - R, C - S, D - Q
3 A - S, B - P, C - R, D - S
4 A - R, B - Q, C - P, D - S
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359366 Potential at the centre due to charged arc is
supporting img

1 \({\dfrac{\lambda}{2 \varepsilon_{0}}}\)
2 \({\dfrac{\lambda}{3 \varepsilon_{0}}}\)
3 \({\dfrac{\lambda}{4 \varepsilon_{0}}}\)
4 \({\dfrac{\lambda}{6 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359367 A circular ring carries a uniformly distributed positive charge. The electric field (\(E\)) and potential (\(V\)) varies with distance (\(r\)) from the centre of the ring along its axis as
supporting img

1 \(b\) and \(c\) are true
2 \(a,b,c,d\) are true
3 \(a\) is true
4 \(a,b,c\) are true
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359368 An arc of radius \(r\) carries charge. The linear density of charge is \(\lambda\) and the arc subtends an angle \(\dfrac{\pi}{3}\) at the centre. What is Electric potential at the centre?

1 \(\dfrac{\lambda}{4 \varepsilon_{0}}\)
2 \(\dfrac{\lambda}{8 \varepsilon_{0}}\)
3 \(\dfrac{\lambda}{12 \varepsilon_{0}}\)
4 \(\dfrac{\lambda}{16 \varepsilon_{0}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359369 The arrangement shown consists of three elements.
supporting img

(i) A thin rod of charge \( - 3.0\,\mu C\) that forms a full circle of radius \(6.0\,cm\).
(ii) A second thin rod charge \(2.0\,\mu C\) that forms a circular arc of radius \(4.0\,cm\) and concentric with the full circle, subtending an angle of \(90^\circ \) at the centre of the full circle.
(iii) An electric dipole with a dipole moment that is perpendicular to a radial line and has magnitude \(1.28 \times {10^{ - 21}}C\)-\(m.\)
The net electric potential in volts at the centre is

1 0
2 2
3 1
4 4
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359370 Match the Column I and Column II
Column I
Column II
A
Electric potential near isolated positive charge
P
Negative
B
Electric potential near an isolated negative charge
Q
Positive
C
Electric potential due to a charge at its own location
R
Inversely of radius
D
Electric potential by a point charge varies
S
Infinite

1 A - Q, B - P, C - S, D - R
2 A - P, B - R, C - S, D - Q
3 A - S, B - P, C - R, D - S
4 A - R, B - Q, C - P, D - S