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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate dBdt. 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) -dBdtπr2 in loop 1 and-dBdtπr2 in loop 2

(3) -dBdtπr2 in loop 1 and zero in loop 2

(4) 2dBdtπr2 in loop 1 and zero in 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
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh