A long solenoid of diameter $$0.1$$ m has $$2 \times 10^4$$ turns per meter. At the center of the solenoid, a coil of $$100$$ turns and radius $$0.01$$ m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to $$0$$ A from $$4$$ A in $$0.05$$ s. If the resistance of the coil is $$10\pi^2~\Omega$$ then the total charge flowing through the coil during this time is:
1. $$16~\mu \text{C}$$
2. $$32~\mu \text{C}$$
3. $$16\pi~\mu \text{C}$$
4. $$32\pi~\mu \text{C}$$

Subtopic:  Faraday's Law & Lenz Law | Mutual Inductance |
57%
From NCERT
NEET - 2017
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A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate $\frac{dB}{dt}$. Loop 2 of radius R is outside the region of magnetic field as shown in the figure. Then the emf generated is-

(1) zero in loop 1 and zero in loop 2

(2) $-\frac{dB}{dt}{\mathrm{\pi r}}^{2}$ $\mathrm{in}$ $\mathrm{loop}$ $1$ $\mathrm{and}-\frac{\mathrm{dB}}{\mathrm{dt}}{\mathrm{\pi r}}^{2}$ $\mathrm{in}$ $\mathrm{loop}$ $2$

(3) $-\frac{dB}{dt}{\mathrm{\pi r}}^{2}$ $\mathrm{in}$ $loop$ $1$ $and$ $zero$ $\mathrm{in}$ $\mathrm{loop}$ $2$

(4) $\frac{2dB}{dt}{\mathrm{\pi r}}^{2}$ $\mathrm{in}$ $loop$ $1$ $and$ $zero$ $\mathrm{in}$ $\mathrm{loop}$ $2$

Subtopic:  Faraday's Law & Lenz Law |
74%
From NCERT
NEET - 2016
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
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