Induced Electromotive Force
PHXII06:ELECTROMAGNETIC INDUCTION

358457 A jet plane of wing span \(20\;m\) is traveling towards west at a speed of \(400\;\,m\;{s^{ - 1}}\). If the earth's total magnetic field is \(4 \times {10^{ - 4}}\;T\) and the dip angle is \(30^{\circ}\), at that place, the voltage difference developed across the ends of the wing is

1 \(3.2\,\;V\)
2 \(6.4\;\,V\)
3 \(1.6\,\;V\)
4 \(0.8\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358458 A wire of lenght \(50\;\,cm\) moves with a velocity of \(300\;\,m/\min \), perpendicular to a magentic field. If the emf induced in the wire is \(2\;\,V\), then the magnitude of the field (in tesla) is

1 2
2 5
3 0.4
4 0.8
PHXII06:ELECTROMAGNETIC INDUCTION

358459 A conducting rod of length \(l\) is moving in a transverse magnetic field of strength \(B\) with velocity \(v\). The resistance of the rod is \(R\). The current in the rod is

1 \(\dfrac{B^{2} v^{2} l^{2}}{R}\)
2 \(Blv\)
3 Zero
4 \(\dfrac{B l v}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358460 The long, horizontal pair of rails shown in the figure is connected using resistance \({R}\). The distance between the rails is \({l}\), the electrical resistance of the rails is negligible. A conducting wire of mass \({m}\) and length \({l}\) can slide without friction on the pair of rails,in a vertical, homogeneous magnetic field of induction \(B\).
supporting img
A force of magnitude \({F_{0}}\) is exerted for sufficiently long time onto the conducting wire, so that the speed of the wire becomes nearly constant. The force \({F_{0}}\) is now removed wire certain point \({P}\). What distance does the conducting wire cover on rails from point \({P}\) before stopping ? (Given: \({F_0} = 20\;N,m = 1.0\;g,R = 0.01\Omega ,\)
\(l = 10\;cm,B = 0.1\;T\) )

1 \(100\,m\)
2 \(400\,m\)
3 \(200\,m\)
4 \(300\,m\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358457 A jet plane of wing span \(20\;m\) is traveling towards west at a speed of \(400\;\,m\;{s^{ - 1}}\). If the earth's total magnetic field is \(4 \times {10^{ - 4}}\;T\) and the dip angle is \(30^{\circ}\), at that place, the voltage difference developed across the ends of the wing is

1 \(3.2\,\;V\)
2 \(6.4\;\,V\)
3 \(1.6\,\;V\)
4 \(0.8\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358458 A wire of lenght \(50\;\,cm\) moves with a velocity of \(300\;\,m/\min \), perpendicular to a magentic field. If the emf induced in the wire is \(2\;\,V\), then the magnitude of the field (in tesla) is

1 2
2 5
3 0.4
4 0.8
PHXII06:ELECTROMAGNETIC INDUCTION

358459 A conducting rod of length \(l\) is moving in a transverse magnetic field of strength \(B\) with velocity \(v\). The resistance of the rod is \(R\). The current in the rod is

1 \(\dfrac{B^{2} v^{2} l^{2}}{R}\)
2 \(Blv\)
3 Zero
4 \(\dfrac{B l v}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358460 The long, horizontal pair of rails shown in the figure is connected using resistance \({R}\). The distance between the rails is \({l}\), the electrical resistance of the rails is negligible. A conducting wire of mass \({m}\) and length \({l}\) can slide without friction on the pair of rails,in a vertical, homogeneous magnetic field of induction \(B\).
supporting img
A force of magnitude \({F_{0}}\) is exerted for sufficiently long time onto the conducting wire, so that the speed of the wire becomes nearly constant. The force \({F_{0}}\) is now removed wire certain point \({P}\). What distance does the conducting wire cover on rails from point \({P}\) before stopping ? (Given: \({F_0} = 20\;N,m = 1.0\;g,R = 0.01\Omega ,\)
\(l = 10\;cm,B = 0.1\;T\) )

1 \(100\,m\)
2 \(400\,m\)
3 \(200\,m\)
4 \(300\,m\)
PHXII06:ELECTROMAGNETIC INDUCTION

358457 A jet plane of wing span \(20\;m\) is traveling towards west at a speed of \(400\;\,m\;{s^{ - 1}}\). If the earth's total magnetic field is \(4 \times {10^{ - 4}}\;T\) and the dip angle is \(30^{\circ}\), at that place, the voltage difference developed across the ends of the wing is

1 \(3.2\,\;V\)
2 \(6.4\;\,V\)
3 \(1.6\,\;V\)
4 \(0.8\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358458 A wire of lenght \(50\;\,cm\) moves with a velocity of \(300\;\,m/\min \), perpendicular to a magentic field. If the emf induced in the wire is \(2\;\,V\), then the magnitude of the field (in tesla) is

1 2
2 5
3 0.4
4 0.8
PHXII06:ELECTROMAGNETIC INDUCTION

358459 A conducting rod of length \(l\) is moving in a transverse magnetic field of strength \(B\) with velocity \(v\). The resistance of the rod is \(R\). The current in the rod is

1 \(\dfrac{B^{2} v^{2} l^{2}}{R}\)
2 \(Blv\)
3 Zero
4 \(\dfrac{B l v}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358460 The long, horizontal pair of rails shown in the figure is connected using resistance \({R}\). The distance between the rails is \({l}\), the electrical resistance of the rails is negligible. A conducting wire of mass \({m}\) and length \({l}\) can slide without friction on the pair of rails,in a vertical, homogeneous magnetic field of induction \(B\).
supporting img
A force of magnitude \({F_{0}}\) is exerted for sufficiently long time onto the conducting wire, so that the speed of the wire becomes nearly constant. The force \({F_{0}}\) is now removed wire certain point \({P}\). What distance does the conducting wire cover on rails from point \({P}\) before stopping ? (Given: \({F_0} = 20\;N,m = 1.0\;g,R = 0.01\Omega ,\)
\(l = 10\;cm,B = 0.1\;T\) )

1 \(100\,m\)
2 \(400\,m\)
3 \(200\,m\)
4 \(300\,m\)
PHXII06:ELECTROMAGNETIC INDUCTION

358457 A jet plane of wing span \(20\;m\) is traveling towards west at a speed of \(400\;\,m\;{s^{ - 1}}\). If the earth's total magnetic field is \(4 \times {10^{ - 4}}\;T\) and the dip angle is \(30^{\circ}\), at that place, the voltage difference developed across the ends of the wing is

1 \(3.2\,\;V\)
2 \(6.4\;\,V\)
3 \(1.6\,\;V\)
4 \(0.8\;\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358458 A wire of lenght \(50\;\,cm\) moves with a velocity of \(300\;\,m/\min \), perpendicular to a magentic field. If the emf induced in the wire is \(2\;\,V\), then the magnitude of the field (in tesla) is

1 2
2 5
3 0.4
4 0.8
PHXII06:ELECTROMAGNETIC INDUCTION

358459 A conducting rod of length \(l\) is moving in a transverse magnetic field of strength \(B\) with velocity \(v\). The resistance of the rod is \(R\). The current in the rod is

1 \(\dfrac{B^{2} v^{2} l^{2}}{R}\)
2 \(Blv\)
3 Zero
4 \(\dfrac{B l v}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358460 The long, horizontal pair of rails shown in the figure is connected using resistance \({R}\). The distance between the rails is \({l}\), the electrical resistance of the rails is negligible. A conducting wire of mass \({m}\) and length \({l}\) can slide without friction on the pair of rails,in a vertical, homogeneous magnetic field of induction \(B\).
supporting img
A force of magnitude \({F_{0}}\) is exerted for sufficiently long time onto the conducting wire, so that the speed of the wire becomes nearly constant. The force \({F_{0}}\) is now removed wire certain point \({P}\). What distance does the conducting wire cover on rails from point \({P}\) before stopping ? (Given: \({F_0} = 20\;N,m = 1.0\;g,R = 0.01\Omega ,\)
\(l = 10\;cm,B = 0.1\;T\) )

1 \(100\,m\)
2 \(400\,m\)
3 \(200\,m\)
4 \(300\,m\)