નીચે (આકૃતિમાં દર્શાવ્યા અનુસાર) જણાવેલ પરિપથ માટે ઉચ્ચત્તમ (મહત્તમ) પ્રવાહ અને અનુનાદિત આવૃત્તિ શોધો.

A \(0.2\, A\) અને \(50 \,Hz\)
B \(0.2\, A\) અને \(100\, Hz\)
C \(2\, A\) અને \(100\, Hz\)
D \(2\, A\) અને \(50\, Hz\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(0.2\, A\) અને \(50 \,Hz\)

Step-by-step Solution

Detailed explanation

as given \(z=\sqrt{\left(x_{L}-x_{C}\right)^{2}+R^{2}}\) \(x _{ L }=\omega_{ L }=100 \times 100 \times 10^{-3}=10 \, \Omega\) \(x _{ C }=\frac{1}{\omega_{ C }}=\frac{1}{100 \times 100 \times 10^{-6}}=10\, \Omega\) \(z=\sqrt{(10-100)^{2}+R^{2}}=\sqrt{90^{2}+120^{2}}\)…

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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