એક A.C. જનરેટરની કોઇલમાં 100 આંટાઓ છે. અને તેના આડછેદનું ક્ષેત્રફળ \(2.5 m^2\) છે. કોઇલ \(60 rad s ^{-1}\) ના નિયમિત કોણીયવેગથી 0.3 T ના સમાન ચુંબકીયક્ષેત્રમાં ભ્રમણ કરે છે; તો જનરેટરમાં ઉદ્ભવતું મહત્તમ વિધુતસ્થિતિમાન __________ kV છે.

A 1.25
B 4.50
C 6.75
D 2.25

Verified Solution

Answer & Solution

Correct Answer

(B) 4.50

Step-by-step Solution

Detailed explanation

B.4.50
\(\varepsilon= N B A \omega \sin \omega t\)
ε મહત્તમ થવા sin ω t = 1 થવું જોઈએ.
\(\varepsilon_{\max }= NBA \omega\)
\(\begin{aligned} \therefore \quad \varepsilon_{\max } =100 \times 0.3 \times 2.5 \times 60 \\ =4500 V \\ =4.5 kV \end{aligned}\)

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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