- 1(current)
Q. No.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 \({I}={I}_0\cos(\omega \text{t}).\) The emf induced in the smaller inner loop is:
1. \(\frac{\pi \mu_{{o}}{I}_{{o}} {b}^2\omega \cos (\omega {t})}{{a}} \)
2. \(\frac{\pi \mu_{{o}}{I}_{{o}} {a}^2\omega \sin (\omega {t})}{{2b}} \)
3. \(\frac{\pi \mu_{{o}}{I}_{{o}} {a}^2\omega \sin (\omega {t})}{{b}} \)
4. \(\frac{\pi \mu_{{o}}{I}_{{o}} {a}^2\omega \cos (\omega {t})}{{2b}} \)
1. \(\frac{\pi \mu_{{o}}{I}_{{o}} {b}^2\omega \cos (\omega {t})}{{a}} \)
2. \(\frac{\pi \mu_{{o}}{I}_{{o}} {a}^2\omega \sin (\omega {t})}{{2b}} \)
3. \(\frac{\pi \mu_{{o}}{I}_{{o}} {a}^2\omega \sin (\omega {t})}{{b}} \)
4. \(\frac{\pi \mu_{{o}}{I}_{{o}} {a}^2\omega \cos (\omega {t})}{{2b}} \)
Subtopic: Mutual Inductance |
From NCERT
JEE
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Two coil '\(P\)' and '\(Q\)' are separated by some distance. When a current of \(3~\text{A}\) flows through coil '\(P\)' a magnetic flux of \(10^{-3}~\text{Wb}\) passes through '\(Q\)'. No current is passed through '\(Q\)'. When no current passes through '\(P\)' and a current of \(2~\text{A}\) passes through '\(Q\)', the flux through '\(P\)' is:
1. \( 6.67 \times 10^{-3} ~\text{Wb} \)
2. \( 3.67 \times 10^{-4} ~\text{Wb} \)
3. \( 6.67 \times 10^{-4}~\text{Wb} \)
4. \( 3.67 \times 10^{-3} ~\text{Wb} \)
Subtopic: Mutual Inductance |
From NCERT
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A small square loop of wire of side \(\ell \) is placed inside a large square loop of wire \(L\) \((L\gg l).\) Both loops are coplanar and their centres coincide at point \(O\) as shown in the figure. The mutual inductance of the system is:
| 1. | \(\dfrac{2\sqrt{2}\mu _{0}L^{2}}{\pi \ell}\) | 2. | \(\dfrac{\mu_{0} \ell^{2}}{2 \sqrt{2} \pi {L}} \) |
| 3. | \(\dfrac{2 \sqrt{2} \mu_{0} \ell^{2}}{\pi {L}} \) | 4. | \(\dfrac{\mu_{0} L^{2}}{2 \sqrt{2} \pi \ell}\) |
Subtopic: Mutual Inductance |
71%
From NCERT
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A small circular loop of radius \(r\) is placed in the plane of a square loop of side length \(L\) \((r \ll L).\) A circular loop is at the center of the square as shown in the figure. The mutual inductance of the given system is:
| 1. | \({\dfrac{\mu_{0}r^{2}}{\sqrt{2}L}}\) | 2. | \({\dfrac{\pi\mu_{0}r^{2}}{2L}}\) |
| 3. | \({\dfrac{2\sqrt{2}\mu_{0}r^{2}}{L}}\) | 4. | \({\dfrac{4\mu_{0}r^{2}}{L}}\) |
Subtopic: Mutual Inductance |
66%
From NCERT
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