153319
The magnitude of the magnetic field produced by a current carrying loop at a large distance $x$ varies as
1 $\frac{1}{\mathrm{x}}$
2 $\frac{1}{x^{2}}$
3 $\frac{1}{x^{3}}$
4 $\frac{1}{\sqrt{\mathrm{x}}}$
Explanation:
C As we know that, field along axis of a circular coil $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2\left(\mathrm{x}^{2}+\mathrm{r}^{2}\right)^{3 / 2}}$ For large $x, r^{2}$ can be neglected compared to $x^{2}$ $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2(\mathrm{x})^{3}}$ $\mathrm{~B} \propto \frac{1}{\mathrm{x}^{3}}$
J and K CET- 1997
Moving Charges & Magnetism
153322
The conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field. An emf will be induced in the loop, if
1 it is translated parallel to itself
2 it is rotated about one of its diameters
3 it is rotated about its own axis which is parallel to the field
4 the loop is deformed from the original shape
Explanation:
B ,d) : The EMF induced in a loop is given as $\mathrm{EMF}=-\frac{\mathrm{d} \phi}{\mathrm{dt}}$ Hence, a change in flux through the loop is necessary for emf induced which happens only in case of options (b) and (d).
WB JEE 2015
Moving Charges & Magnetism
153339
An electron moves in a circular orbit with a uniform speed $v$. It produces a magnetic field $B$ at the center of the circle. The radius of the circle is proportional to
1 $\frac{B}{v}$
2 $\frac{\mathrm{v}}{\mathrm{B}}$
3 $\sqrt{\frac{\mathrm{v}}{\mathrm{B}}}$
4 $\sqrt{\frac{\mathrm{B}}{\mathrm{V}}}$
Explanation:
B Centripetal force is provided by magnetic force $F_{\text {centripetal }}=F_{\text {magnetic }}$ $\frac{\mathrm{mv}^{2}}{\mathrm{r}}=\mathrm{qvB}$ $r=\frac{m v}{q B}$ $\therefore \quad r \propto \frac{\mathrm{v}}{\mathrm{B}}$
JIPMER- 2007
Moving Charges & Magnetism
153340
The total charge induced in a conducting loop when it is moved in magnetic field depends on
1 the rate of change of magnetic flux
2 initial magnetic flux only
3 the total change in magnetic flux
4 final magnetic flux only
Explanation:
C $: \mathrm{q}=\frac{1}{\mathrm{R}} \int \mathrm{edt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int\left(-\frac{\mathrm{d} \phi}{\mathrm{dt}}\right) \mathrm{dt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int-\mathrm{d} \phi=\frac{\left(\phi_{2}-\phi_{1}\right)}{\mathrm{R}}$ $\mathrm{q} \propto\left(\phi_{2}-\phi_{1}\right)$ Hence total charge induced in the conducting loop depend upon the total change in magnetic flux.
153319
The magnitude of the magnetic field produced by a current carrying loop at a large distance $x$ varies as
1 $\frac{1}{\mathrm{x}}$
2 $\frac{1}{x^{2}}$
3 $\frac{1}{x^{3}}$
4 $\frac{1}{\sqrt{\mathrm{x}}}$
Explanation:
C As we know that, field along axis of a circular coil $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2\left(\mathrm{x}^{2}+\mathrm{r}^{2}\right)^{3 / 2}}$ For large $x, r^{2}$ can be neglected compared to $x^{2}$ $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2(\mathrm{x})^{3}}$ $\mathrm{~B} \propto \frac{1}{\mathrm{x}^{3}}$
J and K CET- 1997
Moving Charges & Magnetism
153322
The conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field. An emf will be induced in the loop, if
1 it is translated parallel to itself
2 it is rotated about one of its diameters
3 it is rotated about its own axis which is parallel to the field
4 the loop is deformed from the original shape
Explanation:
B ,d) : The EMF induced in a loop is given as $\mathrm{EMF}=-\frac{\mathrm{d} \phi}{\mathrm{dt}}$ Hence, a change in flux through the loop is necessary for emf induced which happens only in case of options (b) and (d).
WB JEE 2015
Moving Charges & Magnetism
153339
An electron moves in a circular orbit with a uniform speed $v$. It produces a magnetic field $B$ at the center of the circle. The radius of the circle is proportional to
1 $\frac{B}{v}$
2 $\frac{\mathrm{v}}{\mathrm{B}}$
3 $\sqrt{\frac{\mathrm{v}}{\mathrm{B}}}$
4 $\sqrt{\frac{\mathrm{B}}{\mathrm{V}}}$
Explanation:
B Centripetal force is provided by magnetic force $F_{\text {centripetal }}=F_{\text {magnetic }}$ $\frac{\mathrm{mv}^{2}}{\mathrm{r}}=\mathrm{qvB}$ $r=\frac{m v}{q B}$ $\therefore \quad r \propto \frac{\mathrm{v}}{\mathrm{B}}$
JIPMER- 2007
Moving Charges & Magnetism
153340
The total charge induced in a conducting loop when it is moved in magnetic field depends on
1 the rate of change of magnetic flux
2 initial magnetic flux only
3 the total change in magnetic flux
4 final magnetic flux only
Explanation:
C $: \mathrm{q}=\frac{1}{\mathrm{R}} \int \mathrm{edt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int\left(-\frac{\mathrm{d} \phi}{\mathrm{dt}}\right) \mathrm{dt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int-\mathrm{d} \phi=\frac{\left(\phi_{2}-\phi_{1}\right)}{\mathrm{R}}$ $\mathrm{q} \propto\left(\phi_{2}-\phi_{1}\right)$ Hence total charge induced in the conducting loop depend upon the total change in magnetic flux.
153319
The magnitude of the magnetic field produced by a current carrying loop at a large distance $x$ varies as
1 $\frac{1}{\mathrm{x}}$
2 $\frac{1}{x^{2}}$
3 $\frac{1}{x^{3}}$
4 $\frac{1}{\sqrt{\mathrm{x}}}$
Explanation:
C As we know that, field along axis of a circular coil $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2\left(\mathrm{x}^{2}+\mathrm{r}^{2}\right)^{3 / 2}}$ For large $x, r^{2}$ can be neglected compared to $x^{2}$ $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2(\mathrm{x})^{3}}$ $\mathrm{~B} \propto \frac{1}{\mathrm{x}^{3}}$
J and K CET- 1997
Moving Charges & Magnetism
153322
The conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field. An emf will be induced in the loop, if
1 it is translated parallel to itself
2 it is rotated about one of its diameters
3 it is rotated about its own axis which is parallel to the field
4 the loop is deformed from the original shape
Explanation:
B ,d) : The EMF induced in a loop is given as $\mathrm{EMF}=-\frac{\mathrm{d} \phi}{\mathrm{dt}}$ Hence, a change in flux through the loop is necessary for emf induced which happens only in case of options (b) and (d).
WB JEE 2015
Moving Charges & Magnetism
153339
An electron moves in a circular orbit with a uniform speed $v$. It produces a magnetic field $B$ at the center of the circle. The radius of the circle is proportional to
1 $\frac{B}{v}$
2 $\frac{\mathrm{v}}{\mathrm{B}}$
3 $\sqrt{\frac{\mathrm{v}}{\mathrm{B}}}$
4 $\sqrt{\frac{\mathrm{B}}{\mathrm{V}}}$
Explanation:
B Centripetal force is provided by magnetic force $F_{\text {centripetal }}=F_{\text {magnetic }}$ $\frac{\mathrm{mv}^{2}}{\mathrm{r}}=\mathrm{qvB}$ $r=\frac{m v}{q B}$ $\therefore \quad r \propto \frac{\mathrm{v}}{\mathrm{B}}$
JIPMER- 2007
Moving Charges & Magnetism
153340
The total charge induced in a conducting loop when it is moved in magnetic field depends on
1 the rate of change of magnetic flux
2 initial magnetic flux only
3 the total change in magnetic flux
4 final magnetic flux only
Explanation:
C $: \mathrm{q}=\frac{1}{\mathrm{R}} \int \mathrm{edt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int\left(-\frac{\mathrm{d} \phi}{\mathrm{dt}}\right) \mathrm{dt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int-\mathrm{d} \phi=\frac{\left(\phi_{2}-\phi_{1}\right)}{\mathrm{R}}$ $\mathrm{q} \propto\left(\phi_{2}-\phi_{1}\right)$ Hence total charge induced in the conducting loop depend upon the total change in magnetic flux.
NEET Test Series from KOTA - 10 Papers In MS WORD
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Moving Charges & Magnetism
153319
The magnitude of the magnetic field produced by a current carrying loop at a large distance $x$ varies as
1 $\frac{1}{\mathrm{x}}$
2 $\frac{1}{x^{2}}$
3 $\frac{1}{x^{3}}$
4 $\frac{1}{\sqrt{\mathrm{x}}}$
Explanation:
C As we know that, field along axis of a circular coil $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2\left(\mathrm{x}^{2}+\mathrm{r}^{2}\right)^{3 / 2}}$ For large $x, r^{2}$ can be neglected compared to $x^{2}$ $\mathrm{B}=\frac{\mu_{\mathrm{o}} \mathrm{NIr}^{2}}{2(\mathrm{x})^{3}}$ $\mathrm{~B} \propto \frac{1}{\mathrm{x}^{3}}$
J and K CET- 1997
Moving Charges & Magnetism
153322
The conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field. An emf will be induced in the loop, if
1 it is translated parallel to itself
2 it is rotated about one of its diameters
3 it is rotated about its own axis which is parallel to the field
4 the loop is deformed from the original shape
Explanation:
B ,d) : The EMF induced in a loop is given as $\mathrm{EMF}=-\frac{\mathrm{d} \phi}{\mathrm{dt}}$ Hence, a change in flux through the loop is necessary for emf induced which happens only in case of options (b) and (d).
WB JEE 2015
Moving Charges & Magnetism
153339
An electron moves in a circular orbit with a uniform speed $v$. It produces a magnetic field $B$ at the center of the circle. The radius of the circle is proportional to
1 $\frac{B}{v}$
2 $\frac{\mathrm{v}}{\mathrm{B}}$
3 $\sqrt{\frac{\mathrm{v}}{\mathrm{B}}}$
4 $\sqrt{\frac{\mathrm{B}}{\mathrm{V}}}$
Explanation:
B Centripetal force is provided by magnetic force $F_{\text {centripetal }}=F_{\text {magnetic }}$ $\frac{\mathrm{mv}^{2}}{\mathrm{r}}=\mathrm{qvB}$ $r=\frac{m v}{q B}$ $\therefore \quad r \propto \frac{\mathrm{v}}{\mathrm{B}}$
JIPMER- 2007
Moving Charges & Magnetism
153340
The total charge induced in a conducting loop when it is moved in magnetic field depends on
1 the rate of change of magnetic flux
2 initial magnetic flux only
3 the total change in magnetic flux
4 final magnetic flux only
Explanation:
C $: \mathrm{q}=\frac{1}{\mathrm{R}} \int \mathrm{edt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int\left(-\frac{\mathrm{d} \phi}{\mathrm{dt}}\right) \mathrm{dt}$ $\mathrm{q}=\frac{1}{\mathrm{R}} \int-\mathrm{d} \phi=\frac{\left(\phi_{2}-\phi_{1}\right)}{\mathrm{R}}$ $\mathrm{q} \propto\left(\phi_{2}-\phi_{1}\right)$ Hence total charge induced in the conducting loop depend upon the total change in magnetic flux.
