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two metallic wires a and b are connected insecond wire a has lenght l and radius r, while wire b has lenght 2l and radius 2r. find the ratio of total resistance of series combination and the resistance of wire a, if both the wires are of same material?

Answer»

Explanation:Let the resistivity of both the WIRES be 'ρ'. The resistance of the wire A is given as  Ra = ​  The resistance of the wire B is given as Rb =                                                                                                                                                               =  Now when the resistance are connected in SEIRES is R=Ra + Rb ​​  . That is, R = So, the required ratio is R : Ra =  :   Therefore, R : Ra +  3:2Hence, the ratio of the RESISTANCES in SERIES and only wire A is 3/2.



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