The Experiments of Faraday and Henry
PHXII06:ELECTROMAGNETIC INDUCTION

358714 Assertion :
Acceleration of a magnet falling through a long solenoid (or copper ring) decreases.
Reason :
The induced current produced in a circuit always flows in such direction that it opposes the change or the cause the produced it.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358715 A coil of resistance \(400 \Omega\) is placed in a magnetic field. If the magnetic flux \(\phi (Wb)\) linked with the coil varies with time \(t\) (second) as \(\phi=50 t^{2}+4\). The current in the coil at \(t=2 s\) is

1 \(0.5\;\,A\)
2 \(1\;\,A\)
3 \(2\,\;A\)
4 \(0.1\;\,A\)
PHXII06:ELECTROMAGNETIC INDUCTION

358716 A small circular loop of wire of radius \(a\) is located at the centre of a much larger circular wire loop of radius \(b\). The two loops are in the same plane. The outer loop of radius \(b\) carries an alternating current \(I=I_{0} \cos (\omega t)\). The emf induced in the smaller inner loop is nearly?

1 \(\pi \mu_{0} I_{0} \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
2 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \cos (\omega t)\)
3 \(\dfrac{\pi \mu_{0} I_{0} b^{2}}{a} \omega \cos (\omega t)\)
4 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
PHXII06:ELECTROMAGNETIC INDUCTION

358717 There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of the paper. Then

1 Current is induced in the loop in the anticlockwise direction
2 Current is induced in the loop in the clockwise direction
3 AC is induced in the loop
4 No current is induced in the loop
PHXII06:ELECTROMAGNETIC INDUCTION

358714 Assertion :
Acceleration of a magnet falling through a long solenoid (or copper ring) decreases.
Reason :
The induced current produced in a circuit always flows in such direction that it opposes the change or the cause the produced it.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358715 A coil of resistance \(400 \Omega\) is placed in a magnetic field. If the magnetic flux \(\phi (Wb)\) linked with the coil varies with time \(t\) (second) as \(\phi=50 t^{2}+4\). The current in the coil at \(t=2 s\) is

1 \(0.5\;\,A\)
2 \(1\;\,A\)
3 \(2\,\;A\)
4 \(0.1\;\,A\)
PHXII06:ELECTROMAGNETIC INDUCTION

358716 A small circular loop of wire of radius \(a\) is located at the centre of a much larger circular wire loop of radius \(b\). The two loops are in the same plane. The outer loop of radius \(b\) carries an alternating current \(I=I_{0} \cos (\omega t)\). The emf induced in the smaller inner loop is nearly?

1 \(\pi \mu_{0} I_{0} \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
2 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \cos (\omega t)\)
3 \(\dfrac{\pi \mu_{0} I_{0} b^{2}}{a} \omega \cos (\omega t)\)
4 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
PHXII06:ELECTROMAGNETIC INDUCTION

358717 There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of the paper. Then

1 Current is induced in the loop in the anticlockwise direction
2 Current is induced in the loop in the clockwise direction
3 AC is induced in the loop
4 No current is induced in the loop
PHXII06:ELECTROMAGNETIC INDUCTION

358714 Assertion :
Acceleration of a magnet falling through a long solenoid (or copper ring) decreases.
Reason :
The induced current produced in a circuit always flows in such direction that it opposes the change or the cause the produced it.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358715 A coil of resistance \(400 \Omega\) is placed in a magnetic field. If the magnetic flux \(\phi (Wb)\) linked with the coil varies with time \(t\) (second) as \(\phi=50 t^{2}+4\). The current in the coil at \(t=2 s\) is

1 \(0.5\;\,A\)
2 \(1\;\,A\)
3 \(2\,\;A\)
4 \(0.1\;\,A\)
PHXII06:ELECTROMAGNETIC INDUCTION

358716 A small circular loop of wire of radius \(a\) is located at the centre of a much larger circular wire loop of radius \(b\). The two loops are in the same plane. The outer loop of radius \(b\) carries an alternating current \(I=I_{0} \cos (\omega t)\). The emf induced in the smaller inner loop is nearly?

1 \(\pi \mu_{0} I_{0} \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
2 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \cos (\omega t)\)
3 \(\dfrac{\pi \mu_{0} I_{0} b^{2}}{a} \omega \cos (\omega t)\)
4 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
PHXII06:ELECTROMAGNETIC INDUCTION

358717 There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of the paper. Then

1 Current is induced in the loop in the anticlockwise direction
2 Current is induced in the loop in the clockwise direction
3 AC is induced in the loop
4 No current is induced in the loop
PHXII06:ELECTROMAGNETIC INDUCTION

358714 Assertion :
Acceleration of a magnet falling through a long solenoid (or copper ring) decreases.
Reason :
The induced current produced in a circuit always flows in such direction that it opposes the change or the cause the produced it.

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.
PHXII06:ELECTROMAGNETIC INDUCTION

358715 A coil of resistance \(400 \Omega\) is placed in a magnetic field. If the magnetic flux \(\phi (Wb)\) linked with the coil varies with time \(t\) (second) as \(\phi=50 t^{2}+4\). The current in the coil at \(t=2 s\) is

1 \(0.5\;\,A\)
2 \(1\;\,A\)
3 \(2\,\;A\)
4 \(0.1\;\,A\)
PHXII06:ELECTROMAGNETIC INDUCTION

358716 A small circular loop of wire of radius \(a\) is located at the centre of a much larger circular wire loop of radius \(b\). The two loops are in the same plane. The outer loop of radius \(b\) carries an alternating current \(I=I_{0} \cos (\omega t)\). The emf induced in the smaller inner loop is nearly?

1 \(\pi \mu_{0} I_{0} \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
2 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \cos (\omega t)\)
3 \(\dfrac{\pi \mu_{0} I_{0} b^{2}}{a} \omega \cos (\omega t)\)
4 \(\dfrac{\pi \mu_{0} I_{0}}{2} \cdot \dfrac{a^{2}}{b} \omega \sin (\omega t)\)
PHXII06:ELECTROMAGNETIC INDUCTION

358717 There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of the paper. Then

1 Current is induced in the loop in the anticlockwise direction
2 Current is induced in the loop in the clockwise direction
3 AC is induced in the loop
4 No current is induced in the loop