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Question: Dimensions of a block are \(1cm \times 1cm \times 100cm\). If specific resistance of its material is...

Dimensions of a block are 1cm×1cm×100cm1cm \times 1cm \times 100cm. If specific resistance of its material is 3×10−7ohm−m3 \times 10^{- 7}ohm - m, then the resistance between the square faces is

A

3×10−9ohm3 \times 10^{- 9}ohm

B

3×10−7ohm3 \times 10^{- 7}ohm

C

3×10−5ohm3 \times 10^{- 5}ohm

D

3×10−3ohm3 \times 10^{- 3}ohm

Answer

3×10−3ohm3 \times 10^{- 3}ohm

Explanation

Solution

In the above question for calculating equivalent resistance between two opposite square faces.

l = 100 cm = 1 m, A = 1 cm2 = 10–4 m2, so resistance R = 3 × 10–7 ×110−4\times \frac{1}{10^{- 4}}= 3 × 10–3 Ω