Grouping of resistance Assignment Help

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Series grouping

(i) Same current flows through each resistance but potential difference distributes in the ratio of resistance i.e. V∝R

(ii) Req = R1+R2+R3 equivalent resistance is greater than the maximum value of resistance in the combination.

562_grouping of resistance.png

(iii) If n identical resistance are connected in series Req =nR and potential difference across each resistance V′=V/n

 

Parallel grouping

(i) Same potential difference appeared across each resistance but current distributes in the reverse ratio of their resistance i.e i∝1/R.

(ii) Equivalent resistance is provided by 391_grouping of resistance4.png  

or        1945_grouping of resistance5.png

810_grouping of resistance1.png

Equivalent resistance is lower than the minimum value of resistance in the combination.

(iii) If two resistance in parallel 1714_grouping of resistance6.png

(iv) Current through any resistance,  i′= i* [Resistance of opposite branch/total resistance]      

Where i' = needed current (branch current),

i = main current

  1978_grouping of resistance7.png

483_grouping of resistance3.png

 (v) In n similar resistance are interconnected in parallel Req = R/n and current through each resistance 

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