Induced Electromotive Force
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PHXII06:ELECTROMAGNETIC INDUCTION

358440 A rod of length \(\ell\) rotates with a uniform angular velocity \(\omega\) about an axis passing through its middle point but normal to its length in a uniform magnetic field of induction \(B\) with its direction parallel to the axis of rotation. The induced \(E M F\) between the two ends of the rod is:

1 \(\dfrac{B \ell^{2} \omega}{2}\)
2 \({\rm{Zero}}\)
3 \(\left(\dfrac{B \ell^{2} \omega}{8}\right)\)
4 \(2 B \ell^{2} \omega\)
PHXII06:ELECTROMAGNETIC INDUCTION

358441 When a wire loop is rotated in a magnetic field, the direction of induced e.m.f changes once in each

1 1 revolution
2 2 revolution
3 \(\dfrac{1}{2}\) revolution
4 \(\dfrac{1}{4}\) revolution
PHXII06:ELECTROMAGNETIC INDUCTION

358442 A copper disc of radius \(0.1\;m\) rotates about its center with 10 revolutions per second in a uniform magnetic field of 0.1 Tesla. The emf induced across the radius of the disc is

1 \(\frac{\pi }{{10}}\;V\)
2 \(\frac{{2\pi }}{{10}}\;V\)
3 \(10\pi mV\)
4 \(20\pi mV\)
PHXII06:ELECTROMAGNETIC INDUCTION

358443 A rod of length \(l\) is rotating with an angular speed \(\omega\) about its one end which is at a distance ' \(a\) ' from an infinitely long wire carrying current \(i\). Find the emf induced in the rod at the instant shown in the figure.
supporting img

1 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
2 \(\mu_{0} i \omega\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
3 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
4 \(\dfrac{\mu_{0} i \omega}{2}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358440 A rod of length \(\ell\) rotates with a uniform angular velocity \(\omega\) about an axis passing through its middle point but normal to its length in a uniform magnetic field of induction \(B\) with its direction parallel to the axis of rotation. The induced \(E M F\) between the two ends of the rod is:

1 \(\dfrac{B \ell^{2} \omega}{2}\)
2 \({\rm{Zero}}\)
3 \(\left(\dfrac{B \ell^{2} \omega}{8}\right)\)
4 \(2 B \ell^{2} \omega\)
PHXII06:ELECTROMAGNETIC INDUCTION

358441 When a wire loop is rotated in a magnetic field, the direction of induced e.m.f changes once in each

1 1 revolution
2 2 revolution
3 \(\dfrac{1}{2}\) revolution
4 \(\dfrac{1}{4}\) revolution
PHXII06:ELECTROMAGNETIC INDUCTION

358442 A copper disc of radius \(0.1\;m\) rotates about its center with 10 revolutions per second in a uniform magnetic field of 0.1 Tesla. The emf induced across the radius of the disc is

1 \(\frac{\pi }{{10}}\;V\)
2 \(\frac{{2\pi }}{{10}}\;V\)
3 \(10\pi mV\)
4 \(20\pi mV\)
PHXII06:ELECTROMAGNETIC INDUCTION

358443 A rod of length \(l\) is rotating with an angular speed \(\omega\) about its one end which is at a distance ' \(a\) ' from an infinitely long wire carrying current \(i\). Find the emf induced in the rod at the instant shown in the figure.
supporting img

1 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
2 \(\mu_{0} i \omega\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
3 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
4 \(\dfrac{\mu_{0} i \omega}{2}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358440 A rod of length \(\ell\) rotates with a uniform angular velocity \(\omega\) about an axis passing through its middle point but normal to its length in a uniform magnetic field of induction \(B\) with its direction parallel to the axis of rotation. The induced \(E M F\) between the two ends of the rod is:

1 \(\dfrac{B \ell^{2} \omega}{2}\)
2 \({\rm{Zero}}\)
3 \(\left(\dfrac{B \ell^{2} \omega}{8}\right)\)
4 \(2 B \ell^{2} \omega\)
PHXII06:ELECTROMAGNETIC INDUCTION

358441 When a wire loop is rotated in a magnetic field, the direction of induced e.m.f changes once in each

1 1 revolution
2 2 revolution
3 \(\dfrac{1}{2}\) revolution
4 \(\dfrac{1}{4}\) revolution
PHXII06:ELECTROMAGNETIC INDUCTION

358442 A copper disc of radius \(0.1\;m\) rotates about its center with 10 revolutions per second in a uniform magnetic field of 0.1 Tesla. The emf induced across the radius of the disc is

1 \(\frac{\pi }{{10}}\;V\)
2 \(\frac{{2\pi }}{{10}}\;V\)
3 \(10\pi mV\)
4 \(20\pi mV\)
PHXII06:ELECTROMAGNETIC INDUCTION

358443 A rod of length \(l\) is rotating with an angular speed \(\omega\) about its one end which is at a distance ' \(a\) ' from an infinitely long wire carrying current \(i\). Find the emf induced in the rod at the instant shown in the figure.
supporting img

1 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
2 \(\mu_{0} i \omega\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
3 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
4 \(\dfrac{\mu_{0} i \omega}{2}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358440 A rod of length \(\ell\) rotates with a uniform angular velocity \(\omega\) about an axis passing through its middle point but normal to its length in a uniform magnetic field of induction \(B\) with its direction parallel to the axis of rotation. The induced \(E M F\) between the two ends of the rod is:

1 \(\dfrac{B \ell^{2} \omega}{2}\)
2 \({\rm{Zero}}\)
3 \(\left(\dfrac{B \ell^{2} \omega}{8}\right)\)
4 \(2 B \ell^{2} \omega\)
PHXII06:ELECTROMAGNETIC INDUCTION

358441 When a wire loop is rotated in a magnetic field, the direction of induced e.m.f changes once in each

1 1 revolution
2 2 revolution
3 \(\dfrac{1}{2}\) revolution
4 \(\dfrac{1}{4}\) revolution
PHXII06:ELECTROMAGNETIC INDUCTION

358442 A copper disc of radius \(0.1\;m\) rotates about its center with 10 revolutions per second in a uniform magnetic field of 0.1 Tesla. The emf induced across the radius of the disc is

1 \(\frac{\pi }{{10}}\;V\)
2 \(\frac{{2\pi }}{{10}}\;V\)
3 \(10\pi mV\)
4 \(20\pi mV\)
PHXII06:ELECTROMAGNETIC INDUCTION

358443 A rod of length \(l\) is rotating with an angular speed \(\omega\) about its one end which is at a distance ' \(a\) ' from an infinitely long wire carrying current \(i\). Find the emf induced in the rod at the instant shown in the figure.
supporting img

1 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
2 \(\mu_{0} i \omega\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
3 \(\dfrac{\mu_{0} i \omega}{2 \pi}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
4 \(\dfrac{\mu_{0} i \omega}{2}\left[l-a \ln \left(\dfrac{a+l}{a}\right)\right]\)
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