\(0.15 m^2\) પૃષ્ઠ ક્ષેત્રફળ ધરાવતાં ગૂંચળાના આંટાઓની સંખ્યા 200 છે. ગૂંચળામાં પૃષ્ઠ સાથે સંકળાયેલ ગૂંચળાના સમતલને લંબ ચુંબકીયક્ષેત્રનું મૂલ્ય 0.2 T થી બદલાઈને 0.4 સેકન્ડમાં 0.6 T થતું હોય, તો ગૂંચળામાં પ્રેરિત થતું સરેરાશ emf __________ V હશે.

A 45
B 30
C 15
D 60

Verified Solution

Answer & Solution

Correct Answer

(B) 30

Step-by-step Solution

Detailed explanation

B.30
\(|\varepsilon|= N \frac{\Delta \phi}{\Delta t}\)
\(|\varepsilon|=\frac{N\left(\phi_2-\phi_1\right)}{\Delta t}\)
\(|\varepsilon|=\frac{N A\left(B_2-B_1\right)}{\Delta t}\)
\(|\varepsilon|=\frac{200 \times 0.15 \times(0.6-0.2)}{0.4}\)
\(|\varepsilon|=30 V\)

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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