ટ્રાન્સફોર્મર ગૂંચળામાં પ્રાથમિક ગૂચળું \(220V\) ac ઉદ્દગમ સાથે જોડેલ છે. ટ્રાન્સફોર્મરના પ્રાથમિક અને ગૌણ ગૂંચળાઓ અનુકમે \(100\) અને \(10\) છે. આકૃત્તિમાં દર્શાવ્યા અનુસાર ટ્રાન્સફોર્મરના ગૌણ ગૂંચળાને બે શ્રેણી અવરોધો સાથે જોડેલા છે. આઉટપુટ વોલ્ટેજ \(\left(\mathrm{V}_0\right)\) _______ થશે.

A \(7 \mathrm{~V}\)
B \(15 \mathrm{~V}\)
C \(44 \mathrm{~V}\)
D \(22 \mathrm{~V}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(7 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

\( \frac{\varepsilon_1}{\varepsilon_2}=\frac{N_1}{N_2}=\frac{100}{10} \Rightarrow \varepsilon_2=22 \mathrm{~V} \) \( I=\frac{22}{22 \times 10^3}=1 \mathrm{~mA}, V_0=7 \mathrm{~V}\)

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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