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प्रश्न
A conductor of length 85 cm has a resistance of 3.75 Ω. Calculate the resistance of a similar conductor of length 540 cm.
संख्यात्मक
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उत्तर
l1 = 85 cm; R1 = 3.75 Ω; l2 = 540 cm; R2 = ?
For a similar conductor, resistance is directly proportional to length.
\[ \frac{\text{R}_{1}}{\text{R}_{2}}=\frac{l_{1}}{l_{2}}\]
\[\text{R}_{2} = \frac{\text{R}_{1} \cdot l_{2}}{l_{1}}\]
\[= \frac{3.75 \times 540}{85}\]
= 23.82 Ω
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