Ampere’s Circuital Law
PHXII04:MOVING CHARGES AND MAGNETISM

362485 Rank the value of \(\oint \vec{B} . d \bar{l}\) for the closed paths shown in the figure from the smallest to largest
supporting img

1 \(a, c, b, d\)
2 \(a, c, d, b\)
3 \(a, b, c, d\)
4 \(a, d, c, b\)
PHXII04:MOVING CHARGES AND MAGNETISM

362486 A long, straight, hollow conductor (tube) carrying a current has two sections \(A\) and \(C\) of unequal cross- section joined by a conical section \(B\). 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic field at 1,2 and 3 have magnitudes \(B_{1}, B_{2}\) and \(B_{3}\) :
supporting img

1 \(B_{1}=B_{2} \neq B_{3}\)
2 \(B_{1}=B_{2}=B_{3}\)
3 \(B_{2}\) cannot be found unless the dimensions of the section \(B\) are known
4 \(B_{1} < B_{2} < B_{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362487 Figure shows an amperian path \(ABCDA\). Part \(ABC\) is in vertical plane \(PSTU\) while part \(CDA\) is in horizontal plane \(PQRS\). Direction of circulation along the path is shown by an arrow near point \(B\) and at \(D\). \(\oint \vec{B} \cdot d \vec{l}\) for this path according to Ampere's law will be:
supporting img

1 \(\left(-i_{1}+i_{2}\right) \mu_{0}\)
2 \(\left(i_{1}-i_{2}+i_{3}\right) \mu_{0}\)
3 \(\left(i_{1}+i_{2}\right) \mu_{0}\)
4 \(i_{3} \mu_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362488 Six very long insulated copper wires are bound
together to form a cable. The currents carried by the wires are
\({I_1} =  + 10\;A,{I_2} =  - 13\;A,{\rm{ }}{I_3} =  + 10\;A,{I_4}\)
\( =  + 7\;A,{I_5} =  - 12\;A,{I_6} =  + 18\;A\),
The magnetic induction at a perpendicular
distance of 10\(cm\) from the cable is
\(\left( {{\mu _0} = 4\pi  \times {{10}^{ - 7}}\;Wb/A - m} \right)\)

1 \(40 \mu T\)
2 \(37.5 \mu T\)
3 \(30 \mu T\)
4 \(35 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362489 Five very long, straight, insulated wires are closely bound together to form a small cable. Currents carried by the wires are:
\({I_1} = 20\;A,{I_2} = - 6\;A,{I_3} = 12\;A,{I_4} = - 7\;A,{\rm{ }}{I_5} = 18\;A\). [Negative currents are opposite in direction to the positive]. The magnetic field induction at a distance of \(10 \mathrm{~cm}\) from the cable is

1 \(74 \mu \mathrm{T}\)
2 \(5 \mu \mathrm{T}\)
3 \(128 \mu \mathrm{T}\)
4 \(15 \mu \mathrm{T}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362485 Rank the value of \(\oint \vec{B} . d \bar{l}\) for the closed paths shown in the figure from the smallest to largest
supporting img

1 \(a, c, b, d\)
2 \(a, c, d, b\)
3 \(a, b, c, d\)
4 \(a, d, c, b\)
PHXII04:MOVING CHARGES AND MAGNETISM

362486 A long, straight, hollow conductor (tube) carrying a current has two sections \(A\) and \(C\) of unequal cross- section joined by a conical section \(B\). 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic field at 1,2 and 3 have magnitudes \(B_{1}, B_{2}\) and \(B_{3}\) :
supporting img

1 \(B_{1}=B_{2} \neq B_{3}\)
2 \(B_{1}=B_{2}=B_{3}\)
3 \(B_{2}\) cannot be found unless the dimensions of the section \(B\) are known
4 \(B_{1} < B_{2} < B_{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362487 Figure shows an amperian path \(ABCDA\). Part \(ABC\) is in vertical plane \(PSTU\) while part \(CDA\) is in horizontal plane \(PQRS\). Direction of circulation along the path is shown by an arrow near point \(B\) and at \(D\). \(\oint \vec{B} \cdot d \vec{l}\) for this path according to Ampere's law will be:
supporting img

1 \(\left(-i_{1}+i_{2}\right) \mu_{0}\)
2 \(\left(i_{1}-i_{2}+i_{3}\right) \mu_{0}\)
3 \(\left(i_{1}+i_{2}\right) \mu_{0}\)
4 \(i_{3} \mu_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362488 Six very long insulated copper wires are bound
together to form a cable. The currents carried by the wires are
\({I_1} =  + 10\;A,{I_2} =  - 13\;A,{\rm{ }}{I_3} =  + 10\;A,{I_4}\)
\( =  + 7\;A,{I_5} =  - 12\;A,{I_6} =  + 18\;A\),
The magnetic induction at a perpendicular
distance of 10\(cm\) from the cable is
\(\left( {{\mu _0} = 4\pi  \times {{10}^{ - 7}}\;Wb/A - m} \right)\)

1 \(40 \mu T\)
2 \(37.5 \mu T\)
3 \(30 \mu T\)
4 \(35 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362489 Five very long, straight, insulated wires are closely bound together to form a small cable. Currents carried by the wires are:
\({I_1} = 20\;A,{I_2} = - 6\;A,{I_3} = 12\;A,{I_4} = - 7\;A,{\rm{ }}{I_5} = 18\;A\). [Negative currents are opposite in direction to the positive]. The magnetic field induction at a distance of \(10 \mathrm{~cm}\) from the cable is

1 \(74 \mu \mathrm{T}\)
2 \(5 \mu \mathrm{T}\)
3 \(128 \mu \mathrm{T}\)
4 \(15 \mu \mathrm{T}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362485 Rank the value of \(\oint \vec{B} . d \bar{l}\) for the closed paths shown in the figure from the smallest to largest
supporting img

1 \(a, c, b, d\)
2 \(a, c, d, b\)
3 \(a, b, c, d\)
4 \(a, d, c, b\)
PHXII04:MOVING CHARGES AND MAGNETISM

362486 A long, straight, hollow conductor (tube) carrying a current has two sections \(A\) and \(C\) of unequal cross- section joined by a conical section \(B\). 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic field at 1,2 and 3 have magnitudes \(B_{1}, B_{2}\) and \(B_{3}\) :
supporting img

1 \(B_{1}=B_{2} \neq B_{3}\)
2 \(B_{1}=B_{2}=B_{3}\)
3 \(B_{2}\) cannot be found unless the dimensions of the section \(B\) are known
4 \(B_{1} < B_{2} < B_{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362487 Figure shows an amperian path \(ABCDA\). Part \(ABC\) is in vertical plane \(PSTU\) while part \(CDA\) is in horizontal plane \(PQRS\). Direction of circulation along the path is shown by an arrow near point \(B\) and at \(D\). \(\oint \vec{B} \cdot d \vec{l}\) for this path according to Ampere's law will be:
supporting img

1 \(\left(-i_{1}+i_{2}\right) \mu_{0}\)
2 \(\left(i_{1}-i_{2}+i_{3}\right) \mu_{0}\)
3 \(\left(i_{1}+i_{2}\right) \mu_{0}\)
4 \(i_{3} \mu_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362488 Six very long insulated copper wires are bound
together to form a cable. The currents carried by the wires are
\({I_1} =  + 10\;A,{I_2} =  - 13\;A,{\rm{ }}{I_3} =  + 10\;A,{I_4}\)
\( =  + 7\;A,{I_5} =  - 12\;A,{I_6} =  + 18\;A\),
The magnetic induction at a perpendicular
distance of 10\(cm\) from the cable is
\(\left( {{\mu _0} = 4\pi  \times {{10}^{ - 7}}\;Wb/A - m} \right)\)

1 \(40 \mu T\)
2 \(37.5 \mu T\)
3 \(30 \mu T\)
4 \(35 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362489 Five very long, straight, insulated wires are closely bound together to form a small cable. Currents carried by the wires are:
\({I_1} = 20\;A,{I_2} = - 6\;A,{I_3} = 12\;A,{I_4} = - 7\;A,{\rm{ }}{I_5} = 18\;A\). [Negative currents are opposite in direction to the positive]. The magnetic field induction at a distance of \(10 \mathrm{~cm}\) from the cable is

1 \(74 \mu \mathrm{T}\)
2 \(5 \mu \mathrm{T}\)
3 \(128 \mu \mathrm{T}\)
4 \(15 \mu \mathrm{T}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII04:MOVING CHARGES AND MAGNETISM

362485 Rank the value of \(\oint \vec{B} . d \bar{l}\) for the closed paths shown in the figure from the smallest to largest
supporting img

1 \(a, c, b, d\)
2 \(a, c, d, b\)
3 \(a, b, c, d\)
4 \(a, d, c, b\)
PHXII04:MOVING CHARGES AND MAGNETISM

362486 A long, straight, hollow conductor (tube) carrying a current has two sections \(A\) and \(C\) of unequal cross- section joined by a conical section \(B\). 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic field at 1,2 and 3 have magnitudes \(B_{1}, B_{2}\) and \(B_{3}\) :
supporting img

1 \(B_{1}=B_{2} \neq B_{3}\)
2 \(B_{1}=B_{2}=B_{3}\)
3 \(B_{2}\) cannot be found unless the dimensions of the section \(B\) are known
4 \(B_{1} < B_{2} < B_{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362487 Figure shows an amperian path \(ABCDA\). Part \(ABC\) is in vertical plane \(PSTU\) while part \(CDA\) is in horizontal plane \(PQRS\). Direction of circulation along the path is shown by an arrow near point \(B\) and at \(D\). \(\oint \vec{B} \cdot d \vec{l}\) for this path according to Ampere's law will be:
supporting img

1 \(\left(-i_{1}+i_{2}\right) \mu_{0}\)
2 \(\left(i_{1}-i_{2}+i_{3}\right) \mu_{0}\)
3 \(\left(i_{1}+i_{2}\right) \mu_{0}\)
4 \(i_{3} \mu_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362488 Six very long insulated copper wires are bound
together to form a cable. The currents carried by the wires are
\({I_1} =  + 10\;A,{I_2} =  - 13\;A,{\rm{ }}{I_3} =  + 10\;A,{I_4}\)
\( =  + 7\;A,{I_5} =  - 12\;A,{I_6} =  + 18\;A\),
The magnetic induction at a perpendicular
distance of 10\(cm\) from the cable is
\(\left( {{\mu _0} = 4\pi  \times {{10}^{ - 7}}\;Wb/A - m} \right)\)

1 \(40 \mu T\)
2 \(37.5 \mu T\)
3 \(30 \mu T\)
4 \(35 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362489 Five very long, straight, insulated wires are closely bound together to form a small cable. Currents carried by the wires are:
\({I_1} = 20\;A,{I_2} = - 6\;A,{I_3} = 12\;A,{I_4} = - 7\;A,{\rm{ }}{I_5} = 18\;A\). [Negative currents are opposite in direction to the positive]. The magnetic field induction at a distance of \(10 \mathrm{~cm}\) from the cable is

1 \(74 \mu \mathrm{T}\)
2 \(5 \mu \mathrm{T}\)
3 \(128 \mu \mathrm{T}\)
4 \(15 \mu \mathrm{T}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362485 Rank the value of \(\oint \vec{B} . d \bar{l}\) for the closed paths shown in the figure from the smallest to largest
supporting img

1 \(a, c, b, d\)
2 \(a, c, d, b\)
3 \(a, b, c, d\)
4 \(a, d, c, b\)
PHXII04:MOVING CHARGES AND MAGNETISM

362486 A long, straight, hollow conductor (tube) carrying a current has two sections \(A\) and \(C\) of unequal cross- section joined by a conical section \(B\). 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic field at 1,2 and 3 have magnitudes \(B_{1}, B_{2}\) and \(B_{3}\) :
supporting img

1 \(B_{1}=B_{2} \neq B_{3}\)
2 \(B_{1}=B_{2}=B_{3}\)
3 \(B_{2}\) cannot be found unless the dimensions of the section \(B\) are known
4 \(B_{1} < B_{2} < B_{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362487 Figure shows an amperian path \(ABCDA\). Part \(ABC\) is in vertical plane \(PSTU\) while part \(CDA\) is in horizontal plane \(PQRS\). Direction of circulation along the path is shown by an arrow near point \(B\) and at \(D\). \(\oint \vec{B} \cdot d \vec{l}\) for this path according to Ampere's law will be:
supporting img

1 \(\left(-i_{1}+i_{2}\right) \mu_{0}\)
2 \(\left(i_{1}-i_{2}+i_{3}\right) \mu_{0}\)
3 \(\left(i_{1}+i_{2}\right) \mu_{0}\)
4 \(i_{3} \mu_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362488 Six very long insulated copper wires are bound
together to form a cable. The currents carried by the wires are
\({I_1} =  + 10\;A,{I_2} =  - 13\;A,{\rm{ }}{I_3} =  + 10\;A,{I_4}\)
\( =  + 7\;A,{I_5} =  - 12\;A,{I_6} =  + 18\;A\),
The magnetic induction at a perpendicular
distance of 10\(cm\) from the cable is
\(\left( {{\mu _0} = 4\pi  \times {{10}^{ - 7}}\;Wb/A - m} \right)\)

1 \(40 \mu T\)
2 \(37.5 \mu T\)
3 \(30 \mu T\)
4 \(35 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362489 Five very long, straight, insulated wires are closely bound together to form a small cable. Currents carried by the wires are:
\({I_1} = 20\;A,{I_2} = - 6\;A,{I_3} = 12\;A,{I_4} = - 7\;A,{\rm{ }}{I_5} = 18\;A\). [Negative currents are opposite in direction to the positive]. The magnetic field induction at a distance of \(10 \mathrm{~cm}\) from the cable is

1 \(74 \mu \mathrm{T}\)
2 \(5 \mu \mathrm{T}\)
3 \(128 \mu \mathrm{T}\)
4 \(15 \mu \mathrm{T}\)