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GUJCET · Physics · Current Electricity
A metal rod of length 10 cm and a rectangular cross section of \(1 \mathrm{~cm} \times \frac{1}{2} \mathrm{~cm}\) is connected to a battery across opposite faces. The resistance will be ___________.
- A Maximum when the battery is connected across \(1 \mathrm{~cm} \times \frac{1}{2} \mathrm{~cm}\) faces.
- B Maximum when the battery is connected across \(10 \mathrm{~cm} \times \frac{1}{2} \mathrm{~cm}\) faces.
- C Maximum when the battery is connected across \(10 \mathrm{~cm} \times 1 \mathrm{~cm}\) faces.
- D Same irrespective of the three faces.
Answer & Solution
Correct Answer
(A) Maximum when the battery is connected across \(1 \mathrm{~cm} \times \frac{1}{2} \mathrm{~cm}\) faces.
Step-by-step Solution
Detailed explanation
\( R = \rho \frac{L}{A} \) Case 1: Current along 10 cm length (connected across \(1 \mathrm{~cm} \times 0.5 \mathrm{~cm}\) faces)
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