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  4. A solenoid has text2000 turns wound over a length of text0 text.30 m . The area of its cross section is 1.2× 10- 3 m2 . Around its central section, a coil of text300 turns is wound. If an initial current of text2 A in the solenoid is reversed in text0 text.25 s , then the emf induced in the coil is equal to

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Q. A solenoid has $\text{2000}$ turns wound over a length of $\text{0} \text{.30 m}$ . The area of its cross section is $1.2\times 10^{- 3} \, m^{2}$ . Around its central section, a coil of $\text{300}$ turns is wound. If an initial current of $\text{2 A}$ in the solenoid is reversed in $\text{0} \text{.25 s}$ , then the emf induced in the coil is equal to

NTA AbhyasNTA Abhyas 2020

Solution:

$E m f = \frac{M d i}{d t} = \, \left(\frac{\left(\mu \right)_{0} N_{1} N_{2} A}{l}\right) \frac{d i}{d t}$
$= \, \frac{4 \pi \times \left(10\right)^{- 7} \times 2000 \times 300 \times 1.2 \, \times \left(10\right)^{- 3} \left(4\right)}{0.3 \times 0.25}$
$=4.8 \, \times 10^{- 2}$ V