Science, asked by tonystark4830, 9 months ago

A wire of given material having length l and area of cross-section 'A' has a resistance of 27 ohms. What would be the resistance of the same material having length l/3 and area of cross-section 3A?​

Answers

Answered by AdorableMe
1

Answer:

Explanation:

In the 1st case,

Let the length be = l

Let the area of cross-section be =A

Resistance=27Ω

We know, R=ρl/A----------------------------(i)

In the 2nd case,

Length=l/3

Area=3A

Now,

R¹=ρl/3 ÷ 3A

R¹=ρl/9A----------------------------(ii)

From equation (i) and (ii) we get:

R¹=R*1/9

or R¹=27*1/9

or R¹=3Ω

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