ઊલટસૂલટ (alternating) પ્રવાહનું મહત્તમ (peak) મૂલ્ય 5 A છે અને તેની આવૃત્તિ 60 Hz છે, તો તેનું rms મૂલ્ય અને શૂન્યથી શરૂ કરી પ્રવાહનું મહત્તમ મૂલ્ય પ્રાપ્ત કરવાનો સમય શોધો.

A 3.536 A, 4.167 ms
B 3.536 A, 15 ms
C 6.07 A, 10 ms
D 2.536 A, 4.167 ms

Verified Solution

Answer & Solution

Correct Answer

(A) 3.536 A, 4.167 ms

Step-by-step Solution

Detailed explanation

A.3.536 A, 4.167 ms
પ્રવાહનું rms મૂલ્ય \(I =\frac{i_m}{\sqrt{2}}\)
\(I=\frac{5}{1.414}\)
\(I=3.536 A\)
⇒ પ્રવાહનું મહત્તમ મૂલ્ય પ્રાપ્ત કરવાનો સમય
\(t=\frac{ T }{4}\)
\(t=\frac{1}{4 v}\)\(\left(\because T =\frac{1}{v}\right)\)
\(\therefore t=\frac{1}{4 \times 60}\)
\(\therefore t \approx 4.167 ms\)

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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