Dipole
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NEET DIGITAL LIBRARY
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359349 A charge \(+q\) is carried from a point \(A\) to point \(B\) following a path which is a quadrant of circle of radius \(r\) as shown in the figure. If the dipole moment is \(p\), the work done by the external agent is (assume short dipole)
supporting img

1 \(0\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{{{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\sqrt 3 qp}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359350 An electric dipole consists of two opposite charges of magnitude \(q = 1 \times {10^{ - 6}}C\) separated by \(2.0\;cm\). The dipole is placed in an external field of \(1 \times {10^5}\;N{C^{ - 1}}\). What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starting from position of alignment \(\left(\theta=0^{\circ}\right)\) ?

1 \(4.4 \times {10^6}\;N - m,3.2 \times {10^{ - 4}}\;J\)
2 \( - 2 \times {10^{ - 3}}\;N - m, - 4 \times {10^3}\;J\)
3 \(4 \times {10^3}\;N - m,2 \times {10^{ - 3}}\;J\)
4 \(2 \times {10^{ - 3}}\;N - m,4 \times {10^{ - 3}}\;J\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359351 An electric dipole of moment \(\overrightarrow p \) is placed normal to the lines of force of electric intensity \(\overrightarrow E \), then the work done in deflecting it through an angle of \(360^\circ \) is

1 \( + 2pE\)
2 \( - 2pE\)
3 \(pE\)
4 \({\rm{Zero}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359352 A dipole of electric dipole moment p is placed in a uniform electric field of strength \(E\). The potential energy of the electric dipole is maximum when \(\theta \) is

1 \(\frac{\pi }{4}\)
2 \(\frac{\pi }{2}\)
3 \(\pi \)
4 \({\rm{zero}}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359349 A charge \(+q\) is carried from a point \(A\) to point \(B\) following a path which is a quadrant of circle of radius \(r\) as shown in the figure. If the dipole moment is \(p\), the work done by the external agent is (assume short dipole)
supporting img

1 \(0\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{{{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\sqrt 3 qp}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359350 An electric dipole consists of two opposite charges of magnitude \(q = 1 \times {10^{ - 6}}C\) separated by \(2.0\;cm\). The dipole is placed in an external field of \(1 \times {10^5}\;N{C^{ - 1}}\). What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starting from position of alignment \(\left(\theta=0^{\circ}\right)\) ?

1 \(4.4 \times {10^6}\;N - m,3.2 \times {10^{ - 4}}\;J\)
2 \( - 2 \times {10^{ - 3}}\;N - m, - 4 \times {10^3}\;J\)
3 \(4 \times {10^3}\;N - m,2 \times {10^{ - 3}}\;J\)
4 \(2 \times {10^{ - 3}}\;N - m,4 \times {10^{ - 3}}\;J\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359351 An electric dipole of moment \(\overrightarrow p \) is placed normal to the lines of force of electric intensity \(\overrightarrow E \), then the work done in deflecting it through an angle of \(360^\circ \) is

1 \( + 2pE\)
2 \( - 2pE\)
3 \(pE\)
4 \({\rm{Zero}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359352 A dipole of electric dipole moment p is placed in a uniform electric field of strength \(E\). The potential energy of the electric dipole is maximum when \(\theta \) is

1 \(\frac{\pi }{4}\)
2 \(\frac{\pi }{2}\)
3 \(\pi \)
4 \({\rm{zero}}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359349 A charge \(+q\) is carried from a point \(A\) to point \(B\) following a path which is a quadrant of circle of radius \(r\) as shown in the figure. If the dipole moment is \(p\), the work done by the external agent is (assume short dipole)
supporting img

1 \(0\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{{{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\sqrt 3 qp}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359350 An electric dipole consists of two opposite charges of magnitude \(q = 1 \times {10^{ - 6}}C\) separated by \(2.0\;cm\). The dipole is placed in an external field of \(1 \times {10^5}\;N{C^{ - 1}}\). What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starting from position of alignment \(\left(\theta=0^{\circ}\right)\) ?

1 \(4.4 \times {10^6}\;N - m,3.2 \times {10^{ - 4}}\;J\)
2 \( - 2 \times {10^{ - 3}}\;N - m, - 4 \times {10^3}\;J\)
3 \(4 \times {10^3}\;N - m,2 \times {10^{ - 3}}\;J\)
4 \(2 \times {10^{ - 3}}\;N - m,4 \times {10^{ - 3}}\;J\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359351 An electric dipole of moment \(\overrightarrow p \) is placed normal to the lines of force of electric intensity \(\overrightarrow E \), then the work done in deflecting it through an angle of \(360^\circ \) is

1 \( + 2pE\)
2 \( - 2pE\)
3 \(pE\)
4 \({\rm{Zero}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359352 A dipole of electric dipole moment p is placed in a uniform electric field of strength \(E\). The potential energy of the electric dipole is maximum when \(\theta \) is

1 \(\frac{\pi }{4}\)
2 \(\frac{\pi }{2}\)
3 \(\pi \)
4 \({\rm{zero}}\)
NEET DIGITAL LIBRARY
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359349 A charge \(+q\) is carried from a point \(A\) to point \(B\) following a path which is a quadrant of circle of radius \(r\) as shown in the figure. If the dipole moment is \(p\), the work done by the external agent is (assume short dipole)
supporting img

1 \(0\)
2 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{{{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\sqrt 3 qp}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{qp}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359350 An electric dipole consists of two opposite charges of magnitude \(q = 1 \times {10^{ - 6}}C\) separated by \(2.0\;cm\). The dipole is placed in an external field of \(1 \times {10^5}\;N{C^{ - 1}}\). What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starting from position of alignment \(\left(\theta=0^{\circ}\right)\) ?

1 \(4.4 \times {10^6}\;N - m,3.2 \times {10^{ - 4}}\;J\)
2 \( - 2 \times {10^{ - 3}}\;N - m, - 4 \times {10^3}\;J\)
3 \(4 \times {10^3}\;N - m,2 \times {10^{ - 3}}\;J\)
4 \(2 \times {10^{ - 3}}\;N - m,4 \times {10^{ - 3}}\;J\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359351 An electric dipole of moment \(\overrightarrow p \) is placed normal to the lines of force of electric intensity \(\overrightarrow E \), then the work done in deflecting it through an angle of \(360^\circ \) is

1 \( + 2pE\)
2 \( - 2pE\)
3 \(pE\)
4 \({\rm{Zero}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359352 A dipole of electric dipole moment p is placed in a uniform electric field of strength \(E\). The potential energy of the electric dipole is maximum when \(\theta \) is

1 \(\frac{\pi }{4}\)
2 \(\frac{\pi }{2}\)
3 \(\pi \)
4 \({\rm{zero}}\)
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