JEE Mains · Physics · STD 12 - 3. current electricity

સમાન EMF E અને આંતરિક અવરોધ r ધરાવતા કોષ માટે, જ્યારે બંને કોષ સમાંતરમાં કે શ્રેણીમાં જોડાય ત્યારે 6 Ω ના બાહ્ય અવરોધમાંથી સમાન પ્રવાહ વહે છે. આંતરિક અવરોધ r નું મૂલ્ય ________ Ω.

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Answer & Solution

Correct Answer

(D) 6

Step-by-step Solution

Detailed explanation

શ્રેણીમાં, \(i_{1} = \frac{2E}{6+2r}\) સમાંતરમાં, \(i_{2} = \frac{E}{6 + \frac{r}{2}}\) \(i_{1} = i_{2} \Rightarrow \frac{2E}{6+2r} = \frac{E}{6 + \frac{r}{2}}\) \(12+r = 6+2r\) \(\Rightarrow r = 6\Omega\)

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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