Suppose there is a circuit consisting of only resistances and batteries. Suppose one is to double (or increase it to n-times) all voltages and all. resistances. Show that currents are unaltered. Do this for circuit of Examples 3, 7 in the NCERT Text Book for Class XII.

This is a Short Answer Type Questions as classified in NCERT Exemplar

Explanation- according to ohms law

I= $\frac{V_{eff}}{R_{eff}+R}$

If voltage and resistance increase

V'= nVeff, R'= nReff

I'= $\frac{\mathrm{n}\mathrm{V}\mathrm{e}\mathrm{f}\mathrm{f}}{\mathrm{n}\mathrm{R}\mathrm{e}\mathrm{f}\mathrm{f}+\mathrm{n}\mathrm{R}}=$ $\frac{V_{eff}}{R_{eff}+R}$ =

<p>This is a Short Answer Type Questions as classified in NCERT Exemplar</p><p>Explanation- according to ohms law</p><p><strong>I=&nbsp;<math><mfrac><mrow><mrow><msub><mrow><mrow><mi>V</mi></mrow></mrow><mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub></mrow></mrow><mrow><mrow><msub><mrow><mrow><mi>R</mi></mrow></mrow><mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub><mo>+</mo><mi>R</mi></mrow></mrow></mfrac></math></strong></p><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1742969382phpySYnll_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1742969382phpySYnll.jpeg" alt="" width="189" height="117"></picture></div><div><p>If voltage and resistance increase</p><p>V'= nVeff, R'= nReff</p><p>I'=&nbsp;<math><mfrac><mrow><mrow><mi mathvariant="normal">n</mi><mi mathvariant="normal">V</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi></mrow></mrow><mrow><mrow><mi mathvariant="normal">n</mi><mi mathvariant="normal">R</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi><mo>+</mo><mi mathvariant="normal">n</mi><mi mathvariant="normal">R</mi></mrow></mrow></mfrac><mo>=</mo><mi></mi></math>&nbsp;<math><mfrac><mrow><mrow><msub><mrow><mrow><mi>V</mi></mrow></mrow><mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub></mrow></mrow><mrow><mrow><msub><mrow><mrow><mi>R</mi></mrow></mrow><mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub><mo>+</mo><mi>R</mi></mrow></mrow></mfrac></math> =</p></div></div>

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