ફ્લૂરેસ્કેન્ટ લેમ્પ ચોકમાં(નાનું ટ્રાન્સ્ફોર્મર) \(0.025 \;\mathrm{ms} \) માં પ્રવાહ એકસમાન રીતે \(0.25 \;\mathrm{A}\) થી ઘટીને \(0\;\mathrm{A}\) થાય છે ત્યારે તે \(100 \;\mathrm{V}\) નો રિવર્સ વૉલ્ટેજ ઉત્પન્ન કરે છે.તો ચોકનું આત્મપ્રેરકત્વ(\(\mathrm{mH}\) માં) કેટલું હશે?

A \(15\)
B \(10\)
C \(20\)
D \(25\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(10\)

Step-by-step Solution

Detailed explanation

\(\mathrm{V}=\left|\mathrm{L} \frac{\mathrm{di}}{\mathrm{dt}}\right|\) \(\Rightarrow \mathrm{L}=\frac{\mathrm{V}}{\left|\frac{\mathrm{di}}{\mathrm{dt}}\right|}=\cfrac{100}{\frac{0.25}{0.025 \times 10^{-3}}}=10 \mathrm{mH}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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