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Question 26

A rectangular parallelopiped is measured as 1 cm $$\times$$ 1 cm $$\times$$ 100 cm. If its specific resistance is $$3 \times 10^{-7}$$ $$\Omega$$ m, then the resistance between its two opposite rectangular faces will be _______ $$\times 10^{-7}$$ $$\Omega$$.

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Correct Answer: 3

Rectangular parallelepiped: 1 cm × 1 cm × 100 cm = 0.01 m × 0.01 m × 1 m.

Opposite rectangular faces (1 cm × 100 cm = 0.01 × 1 m²): area A = 0.01 m², length = 0.01 m.

$$R = \frac{\rho l}{A} = \frac{3 \times 10^{-7} \times 0.01}{0.01} = 3 \times 10^{-7}$$ Ω.

The answer is 3.

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