Torque & Magnetic Dipole
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PHXII04:MOVING CHARGES AND MAGNETISM

363062 A rectangular loop carrying a current \(i\) is placed in a uniform magnetic field \(B\). The area enclosed by the loop is \(A\). If there are \(n\) turns in the loop, the torque acting on the loop is given by

1 \(n i \vec{A} \times \vec{B}\)
2 \(n i \vec{A} \cdot \vec{B}\)
3 \(\dfrac{1}{n}(i \vec{A} \times \vec{B})\)
4 \(\dfrac{1}{n}(i \vec{A} \cdot \vec{B})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363063 Assertion :
A small coil carrying current, in equilibrium, is perpendicular to the direction of the uniform magnetic field.
Reason :
Torque is maximum when plane of coil and direction of the magnetic fields is parallel to each other.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII04:MOVING CHARGES AND MAGNETISM

363064 A uniform magnetic field of \(2 \times 10^{-3} T\) acts along positive \(Y\)-direction. A rectangular loop of sides \(20\,cm\) and \(10\,cm\) with current of \(5\,A\) is in \(Y-Z\) plane. The current is in anti clockwise sense with reference to negative \(X\) -axis. Magnitude and direction of the torque is

1 \(2 \times {10^{ - 4}}\;N - m\) along negative \(X\) - direction
2 \(2 \times {10^{ - 4}}\;N - m\) along negative \(Z\) - direction
3 \(2 \times {10^{ - 4}}\;N - m\) along positive \(Y\) - direction
4 \(2 \times {10^{ - 4}}\;N - m\) along positive \(Z\) - direction
JEE - 2024
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PHXII04:MOVING CHARGES AND MAGNETISM

363062 A rectangular loop carrying a current \(i\) is placed in a uniform magnetic field \(B\). The area enclosed by the loop is \(A\). If there are \(n\) turns in the loop, the torque acting on the loop is given by

1 \(n i \vec{A} \times \vec{B}\)
2 \(n i \vec{A} \cdot \vec{B}\)
3 \(\dfrac{1}{n}(i \vec{A} \times \vec{B})\)
4 \(\dfrac{1}{n}(i \vec{A} \cdot \vec{B})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363063 Assertion :
A small coil carrying current, in equilibrium, is perpendicular to the direction of the uniform magnetic field.
Reason :
Torque is maximum when plane of coil and direction of the magnetic fields is parallel to each other.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII04:MOVING CHARGES AND MAGNETISM

363064 A uniform magnetic field of \(2 \times 10^{-3} T\) acts along positive \(Y\)-direction. A rectangular loop of sides \(20\,cm\) and \(10\,cm\) with current of \(5\,A\) is in \(Y-Z\) plane. The current is in anti clockwise sense with reference to negative \(X\) -axis. Magnitude and direction of the torque is

1 \(2 \times {10^{ - 4}}\;N - m\) along negative \(X\) - direction
2 \(2 \times {10^{ - 4}}\;N - m\) along negative \(Z\) - direction
3 \(2 \times {10^{ - 4}}\;N - m\) along positive \(Y\) - direction
4 \(2 \times {10^{ - 4}}\;N - m\) along positive \(Z\) - direction
JEE - 2024
NEET DIGITAL LIBRARY
PHXII04:MOVING CHARGES AND MAGNETISM

363062 A rectangular loop carrying a current \(i\) is placed in a uniform magnetic field \(B\). The area enclosed by the loop is \(A\). If there are \(n\) turns in the loop, the torque acting on the loop is given by

1 \(n i \vec{A} \times \vec{B}\)
2 \(n i \vec{A} \cdot \vec{B}\)
3 \(\dfrac{1}{n}(i \vec{A} \times \vec{B})\)
4 \(\dfrac{1}{n}(i \vec{A} \cdot \vec{B})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363063 Assertion :
A small coil carrying current, in equilibrium, is perpendicular to the direction of the uniform magnetic field.
Reason :
Torque is maximum when plane of coil and direction of the magnetic fields is parallel to each other.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII04:MOVING CHARGES AND MAGNETISM

363064 A uniform magnetic field of \(2 \times 10^{-3} T\) acts along positive \(Y\)-direction. A rectangular loop of sides \(20\,cm\) and \(10\,cm\) with current of \(5\,A\) is in \(Y-Z\) plane. The current is in anti clockwise sense with reference to negative \(X\) -axis. Magnitude and direction of the torque is

1 \(2 \times {10^{ - 4}}\;N - m\) along negative \(X\) - direction
2 \(2 \times {10^{ - 4}}\;N - m\) along negative \(Z\) - direction
3 \(2 \times {10^{ - 4}}\;N - m\) along positive \(Y\) - direction
4 \(2 \times {10^{ - 4}}\;N - m\) along positive \(Z\) - direction
JEE - 2024
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