Induced Electromotive Force
PHXII06:ELECTROMAGNETIC INDUCTION

358444 A metallic rod of length ' \(l\) ' is tied to a string of length \(2 l\) and made to rotate with angular speed \(\omega\) on a horizontal table with one end of the string fixed . If there is a vertical magnetic field ' \(B\) ' in the region, the e.m.f. induced across the ends of the rod is :
supporting img

1 \(\dfrac{2 B \omega l^{2}}{2}\)
2 \(\dfrac{3 B \omega l^{2}}{2}\)
3 \(\dfrac{4 B \omega l^{2}}{2}\)
4 \(\dfrac{5 B \omega l^{2}}{2}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358445 A metal conductor of length \(2\;m\) rotates vertically about one of its ends at an angular velocity of \(50\,rad{\rm{/}}\sec \). If the horizontal component of earth's magnetic field is \(0.5\;T\), then the \(E M F\) developed between the two ends of conductor.

1 \(5\;V\)
2 \(50\;V\)
3 \(15\;V\)
4 \({\rm{Zero}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358446 A cylindrical bar magnet is rotated about its axis. A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then,
supporting img

1 No current flows through the ammeter \(A\)
2 A direct current flows in the ammeter \(A\)
3 A time varying non - sinusoidal current flows through the ammeter \(A\)
4 An alternating sinusoidal current flows through the ammeter \(A\) with a time period
\(T=\dfrac{2 \pi}{\omega}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358447 A rod of length \(20\;\,cm\) is rotating with angular speed of 100rps in a magnetic field of strength \(0.5\;\,T\) about it's one end. What is the potential difference between two ends of the rod?

1 \(2.28\;\,V\)
2 \(4.28\,\;V\)
3 \(6.28\;\,V\)
4 \(2.5\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358448 A rod of length \(L\) and resistance \(r\) rotates about one end as shown in figure. Its other end touches a conducting ring of negligible resistance. A resistance \(R\) is connected between centre and periphery. Find the current in the resistance \(R\). There is a uniform magnetic field \(\mathrm{B}\) directed as shown.
supporting img

1 \(\dfrac{2 B \omega L^{2}}{(R+r)}\)
2 \(\dfrac{B \omega L^{2}}{2(R+r)}\)
3 \(\dfrac{4 B \omega L^{2}}{R+r}\)
4 \(\dfrac{B \omega L^{2}}{R+r}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358444 A metallic rod of length ' \(l\) ' is tied to a string of length \(2 l\) and made to rotate with angular speed \(\omega\) on a horizontal table with one end of the string fixed . If there is a vertical magnetic field ' \(B\) ' in the region, the e.m.f. induced across the ends of the rod is :
supporting img

1 \(\dfrac{2 B \omega l^{2}}{2}\)
2 \(\dfrac{3 B \omega l^{2}}{2}\)
3 \(\dfrac{4 B \omega l^{2}}{2}\)
4 \(\dfrac{5 B \omega l^{2}}{2}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358445 A metal conductor of length \(2\;m\) rotates vertically about one of its ends at an angular velocity of \(50\,rad{\rm{/}}\sec \). If the horizontal component of earth's magnetic field is \(0.5\;T\), then the \(E M F\) developed between the two ends of conductor.

1 \(5\;V\)
2 \(50\;V\)
3 \(15\;V\)
4 \({\rm{Zero}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358446 A cylindrical bar magnet is rotated about its axis. A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then,
supporting img

1 No current flows through the ammeter \(A\)
2 A direct current flows in the ammeter \(A\)
3 A time varying non - sinusoidal current flows through the ammeter \(A\)
4 An alternating sinusoidal current flows through the ammeter \(A\) with a time period
\(T=\dfrac{2 \pi}{\omega}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358447 A rod of length \(20\;\,cm\) is rotating with angular speed of 100rps in a magnetic field of strength \(0.5\;\,T\) about it's one end. What is the potential difference between two ends of the rod?

1 \(2.28\;\,V\)
2 \(4.28\,\;V\)
3 \(6.28\;\,V\)
4 \(2.5\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358448 A rod of length \(L\) and resistance \(r\) rotates about one end as shown in figure. Its other end touches a conducting ring of negligible resistance. A resistance \(R\) is connected between centre and periphery. Find the current in the resistance \(R\). There is a uniform magnetic field \(\mathrm{B}\) directed as shown.
supporting img

1 \(\dfrac{2 B \omega L^{2}}{(R+r)}\)
2 \(\dfrac{B \omega L^{2}}{2(R+r)}\)
3 \(\dfrac{4 B \omega L^{2}}{R+r}\)
4 \(\dfrac{B \omega L^{2}}{R+r}\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358444 A metallic rod of length ' \(l\) ' is tied to a string of length \(2 l\) and made to rotate with angular speed \(\omega\) on a horizontal table with one end of the string fixed . If there is a vertical magnetic field ' \(B\) ' in the region, the e.m.f. induced across the ends of the rod is :
supporting img

1 \(\dfrac{2 B \omega l^{2}}{2}\)
2 \(\dfrac{3 B \omega l^{2}}{2}\)
3 \(\dfrac{4 B \omega l^{2}}{2}\)
4 \(\dfrac{5 B \omega l^{2}}{2}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358445 A metal conductor of length \(2\;m\) rotates vertically about one of its ends at an angular velocity of \(50\,rad{\rm{/}}\sec \). If the horizontal component of earth's magnetic field is \(0.5\;T\), then the \(E M F\) developed between the two ends of conductor.

1 \(5\;V\)
2 \(50\;V\)
3 \(15\;V\)
4 \({\rm{Zero}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358446 A cylindrical bar magnet is rotated about its axis. A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then,
supporting img

1 No current flows through the ammeter \(A\)
2 A direct current flows in the ammeter \(A\)
3 A time varying non - sinusoidal current flows through the ammeter \(A\)
4 An alternating sinusoidal current flows through the ammeter \(A\) with a time period
\(T=\dfrac{2 \pi}{\omega}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358447 A rod of length \(20\;\,cm\) is rotating with angular speed of 100rps in a magnetic field of strength \(0.5\;\,T\) about it's one end. What is the potential difference between two ends of the rod?

1 \(2.28\;\,V\)
2 \(4.28\,\;V\)
3 \(6.28\;\,V\)
4 \(2.5\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358448 A rod of length \(L\) and resistance \(r\) rotates about one end as shown in figure. Its other end touches a conducting ring of negligible resistance. A resistance \(R\) is connected between centre and periphery. Find the current in the resistance \(R\). There is a uniform magnetic field \(\mathrm{B}\) directed as shown.
supporting img

1 \(\dfrac{2 B \omega L^{2}}{(R+r)}\)
2 \(\dfrac{B \omega L^{2}}{2(R+r)}\)
3 \(\dfrac{4 B \omega L^{2}}{R+r}\)
4 \(\dfrac{B \omega L^{2}}{R+r}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358444 A metallic rod of length ' \(l\) ' is tied to a string of length \(2 l\) and made to rotate with angular speed \(\omega\) on a horizontal table with one end of the string fixed . If there is a vertical magnetic field ' \(B\) ' in the region, the e.m.f. induced across the ends of the rod is :
supporting img

1 \(\dfrac{2 B \omega l^{2}}{2}\)
2 \(\dfrac{3 B \omega l^{2}}{2}\)
3 \(\dfrac{4 B \omega l^{2}}{2}\)
4 \(\dfrac{5 B \omega l^{2}}{2}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358445 A metal conductor of length \(2\;m\) rotates vertically about one of its ends at an angular velocity of \(50\,rad{\rm{/}}\sec \). If the horizontal component of earth's magnetic field is \(0.5\;T\), then the \(E M F\) developed between the two ends of conductor.

1 \(5\;V\)
2 \(50\;V\)
3 \(15\;V\)
4 \({\rm{Zero}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358446 A cylindrical bar magnet is rotated about its axis. A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then,
supporting img

1 No current flows through the ammeter \(A\)
2 A direct current flows in the ammeter \(A\)
3 A time varying non - sinusoidal current flows through the ammeter \(A\)
4 An alternating sinusoidal current flows through the ammeter \(A\) with a time period
\(T=\dfrac{2 \pi}{\omega}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358447 A rod of length \(20\;\,cm\) is rotating with angular speed of 100rps in a magnetic field of strength \(0.5\;\,T\) about it's one end. What is the potential difference between two ends of the rod?

1 \(2.28\;\,V\)
2 \(4.28\,\;V\)
3 \(6.28\;\,V\)
4 \(2.5\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358448 A rod of length \(L\) and resistance \(r\) rotates about one end as shown in figure. Its other end touches a conducting ring of negligible resistance. A resistance \(R\) is connected between centre and periphery. Find the current in the resistance \(R\). There is a uniform magnetic field \(\mathrm{B}\) directed as shown.
supporting img

1 \(\dfrac{2 B \omega L^{2}}{(R+r)}\)
2 \(\dfrac{B \omega L^{2}}{2(R+r)}\)
3 \(\dfrac{4 B \omega L^{2}}{R+r}\)
4 \(\dfrac{B \omega L^{2}}{R+r}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358444 A metallic rod of length ' \(l\) ' is tied to a string of length \(2 l\) and made to rotate with angular speed \(\omega\) on a horizontal table with one end of the string fixed . If there is a vertical magnetic field ' \(B\) ' in the region, the e.m.f. induced across the ends of the rod is :
supporting img

1 \(\dfrac{2 B \omega l^{2}}{2}\)
2 \(\dfrac{3 B \omega l^{2}}{2}\)
3 \(\dfrac{4 B \omega l^{2}}{2}\)
4 \(\dfrac{5 B \omega l^{2}}{2}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358445 A metal conductor of length \(2\;m\) rotates vertically about one of its ends at an angular velocity of \(50\,rad{\rm{/}}\sec \). If the horizontal component of earth's magnetic field is \(0.5\;T\), then the \(E M F\) developed between the two ends of conductor.

1 \(5\;V\)
2 \(50\;V\)
3 \(15\;V\)
4 \({\rm{Zero}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358446 A cylindrical bar magnet is rotated about its axis. A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then,
supporting img

1 No current flows through the ammeter \(A\)
2 A direct current flows in the ammeter \(A\)
3 A time varying non - sinusoidal current flows through the ammeter \(A\)
4 An alternating sinusoidal current flows through the ammeter \(A\) with a time period
\(T=\dfrac{2 \pi}{\omega}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358447 A rod of length \(20\;\,cm\) is rotating with angular speed of 100rps in a magnetic field of strength \(0.5\;\,T\) about it's one end. What is the potential difference between two ends of the rod?

1 \(2.28\;\,V\)
2 \(4.28\,\;V\)
3 \(6.28\;\,V\)
4 \(2.5\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358448 A rod of length \(L\) and resistance \(r\) rotates about one end as shown in figure. Its other end touches a conducting ring of negligible resistance. A resistance \(R\) is connected between centre and periphery. Find the current in the resistance \(R\). There is a uniform magnetic field \(\mathrm{B}\) directed as shown.
supporting img

1 \(\dfrac{2 B \omega L^{2}}{(R+r)}\)
2 \(\dfrac{B \omega L^{2}}{2(R+r)}\)
3 \(\dfrac{4 B \omega L^{2}}{R+r}\)
4 \(\dfrac{B \omega L^{2}}{R+r}\)