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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