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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? |
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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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