Q. 10

A uniform wire of resistance 50 Ω is cut into 5 equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is
A. 2Ω B. 10Ω

C. 250Ω D. 6250Ω

Answer :

Formula used :


Resistance of a wire is given by


Resistance,


Where


ρ resistivity of the material


l length of the wire


A cross sectional area of the wire


l is proportional to R.


When a uniform wire of resistance 50Ω is cut into 5 equal parts then resistance of each part is


10 Ω.


Now they are connected in parallel.


Equalent resistance is calculated as



Ω


A uniform wire of resistance 50 Ω is cut into 5 equal parts. If the parts are connected in parallel then equivalent resistance is Ω. So option A is correct.

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