Select Chapter Topics:
Q. No.A circular current loop of radius \(R\) is placed inside square loop of side length \(L(L>>R)\) such that they are co-planar and their centres coincide. The permeability of free space is \(\mu_0.\) The mutual inductance between circular loop and square loop is:
1. \(2 \sqrt{2} \dfrac{\mu_0 L^2}{R} \)
2. \(\sqrt{2} \dfrac{\mu_0 L^2}{R} \)
3. \( \sqrt{2} \dfrac{\mu_0 R^2}{L} \)
4. \(2 \sqrt{2} \dfrac{\mu_0 R^2}{L}\)
1. \(2 \sqrt{2} \dfrac{\mu_0 L^2}{R} \)
2. \(\sqrt{2} \dfrac{\mu_0 L^2}{R} \)
3. \( \sqrt{2} \dfrac{\mu_0 R^2}{L} \)
4. \(2 \sqrt{2} \dfrac{\mu_0 R^2}{L}\)
Subtopic: Mutual Inductance |
51%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
A sqaure loop of side \(2~\text{cm}\) is placed in a time varying magnetic field with magnitude as \(B = 0.4~\text{sin}(300t)\) Tesla. The normal to the plane of loop makes an angle of \(60^\circ\) with the field. The maximum induced emf produced in the loop is: (in \(\text{mV}\))
1. \(12\)
2. \(18\)
3. \(21\)
4. \(24\)
1. \(12\)
2. \(18\)
3. \(21\)
4. \(24\)
Subtopic: Magnetic Flux |
87%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
When a coil is placed in a time dependent magnetic field the power dissipated in it is \(P.\) The number of turns, area of the coil and radius of the coil wire are \(N,A\) \(2N,2A\) \(a\)
1. \(36\)
2. \(128\sqrt2\)
3. \(16\)
4. \(64\)
1. \(36\)
2. \(128\sqrt2\)
3. \(16\)
4. \(64\)
Subtopic: Faraday's Law & Lenz Law |
52%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
In the given circuit below inductance values of \(L_1, L_2 \text { and } L_3\) are same. The magnetic energy stored in the entire circuit is \(\left(U_t\right)\) and that stored in the \(L_2\) inductor is \(\left(U_l\right) . U_t / U_l \) is:
(Ignore the mutual inductance if any)
1. \(6\)
2. \(8\)
3. \(10\)
4. \(15\)
(Ignore the mutual inductance if any)
1. \(6\)
2. \(8\)
3. \(10\)
4. \(15\)
Subtopic: Self - Inductance |
57%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
A metal rod of length \(L\) \(\omega\). \(B(r)=B_{0} {e}^{-\lambda r} ; \lambda\)
1. \(B_0 \omega\left[\dfrac{1}{\lambda^2}-e^{-\lambda L}\left(\dfrac{1}{\lambda^2}+\dfrac{L}{\lambda}\right)\right]\)
2. \(B_0 \omega\left[\dfrac{1}{\lambda^2}+e^{-\lambda L}\left(\dfrac{1}{\lambda^2}+\dfrac{L}{\lambda}\right)\right]\)
3. \(B_0 \omega\left[\dfrac{4}{\lambda^2}-e^{-2 \lambda L}\left(\dfrac{1}{\lambda^2}+\dfrac{2 L}{\lambda}\right)\right]\)
4. \(B_0 \omega\left[\dfrac{3}{\lambda^2}-e^{-3 \lambda L}\left(\dfrac{3}{\lambda^2}+\dfrac{L}{\lambda}\right)\right]\)
1. \(B_0 \omega\left[\dfrac{1}{\lambda^2}-e^{-\lambda L}\left(\dfrac{1}{\lambda^2}+\dfrac{L}{\lambda}\right)\right]\)
2. \(B_0 \omega\left[\dfrac{1}{\lambda^2}+e^{-\lambda L}\left(\dfrac{1}{\lambda^2}+\dfrac{L}{\lambda}\right)\right]\)
3. \(B_0 \omega\left[\dfrac{4}{\lambda^2}-e^{-2 \lambda L}\left(\dfrac{1}{\lambda^2}+\dfrac{2 L}{\lambda}\right)\right]\)
4. \(B_0 \omega\left[\dfrac{3}{\lambda^2}-e^{-3 \lambda L}\left(\dfrac{3}{\lambda^2}+\dfrac{L}{\lambda}\right)\right]\)
Subtopic: Motional emf |
55%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
A circular loop of radius \(20~\text{cm}\) and resistance \(2~\Omega\) \(\vec{B}=\left(2 t^2+2 t+3\right)\text{T}\) \(t=0\)
1. \(50\)
2. \(44\)
3. \(20\)
4. \(60\)
1. \(50\)
2. \(44\)
3. \(20\)
4. \(60\)
Subtopic: Faraday's Law & Lenz Law |
73%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
A \(30~\text{cm}\) long solenoid has \(10\) turns per cm and area of \(5~\text{cm}^2\). The current through the solenoid coil varies from \(2~\text{A}\) to \(4~\text{A}\) in \(3.14~\text{s}\). The emf induced in the coils is \(\alpha\times 10^{-5}~\text{V}\). The value \(\alpha\) is:
1. \(60\)
2. \(12\)
3. \(120\)
4. \(34\)
1. \(60\)
2. \(12\)
3. \(120\)
4. \(34\)
Subtopic: Self - Inductance |
68%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
A conducting circular loop of area \(1.0~\text{m}^2\) is placed perpendicular to a magnetic field which varies as \(B = \sin(100 t)~\text{T}\). If the resistance of the loop is \(100~\Omega \), then the average thermal energy dissipated in the loop in one period is: (in J)
1. \(\dfrac{\pi}{2}\)
2. \(2 \pi\)
3. \( \pi\)
4. \(\pi^2\)
1. \(\dfrac{\pi}{2}\)
2. \(2 \pi\)
3. \( \pi\)
4. \(\pi^2\)
Subtopic: Faraday's Law & Lenz Law |
52%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
A \(1~\text{m}\) long metal rod \(AB\) completes the circuit as shown in figure. The area of circuit is perpendicular to the magnetic field of \(0.10~\text{T}\). If the resistance of the total circuit is \(2~\Omega\), then the force needed to move the rod towards right with constant speed \((v)\) of \(1.5~\text{m/s}\) is: (in N)
1. \(7.5 \times 10^{-2}\)
2. \(5.7 \times 10^{-3}\)
3. \(5.7 \times 10^{-2}\)
4. \(7.5 \times 10^{-3}\)
1. \(7.5 \times 10^{-2}\)
2. \(5.7 \times 10^{-3}\)
3. \(5.7 \times 10^{-2}\)
4. \(7.5 \times 10^{-3}\)
Subtopic: Motional emf |
74%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
\(XPQY\) is a vertical smooth long loop having a total resistance \(R\) where \(PX\) is parallel to \(QY\) and separation between them is \(l\). A constant magnetic field \(B\) perpendicular to the plane of the loop exists in the entire space. A rod \(CD\) of length \(L(L>l)\) and mass \(m\) is made to slide down from rest under gravity as shown in the figure. The terminal speed (in m/s) acquired by the rod is: (\(g\) = acceleration due to gravity)
1. \(\dfrac{2 {mgR}}{{B}^2 l^2}\)
2. \(\dfrac{8 {mgR}}{{B}^2 l^2}\)
3. \(\dfrac{2 {mgR}}{{B}^2 {L}^2}\)
4. \(\dfrac{{mgR}}{{B}^2 l^2}\)
1. \(\dfrac{2 {mgR}}{{B}^2 l^2}\)
2. \(\dfrac{8 {mgR}}{{B}^2 l^2}\)
3. \(\dfrac{2 {mgR}}{{B}^2 {L}^2}\)
4. \(\dfrac{{mgR}}{{B}^2 l^2}\)
Subtopic: Motional emf |
68%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
Select Chapter Topics:
© 2026 GoodEd Technologies Pvt. Ltd.