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JEE Mains · Physics · STD 12 - 3. current electricity
A cylindrical wire of radius \(0.5 \,mm\) and conductivity \(5 \times 10^{7}\, S / m\) is subjected to an electric field of \(10 \,mV / m .\) The expected value of current in the wire will be \(x ^{3} \,\pi mA\). The value of \(x\) is ......
- A \(5\)
- B \(10\)
- C \(8\)
- D \(15\)
Answer & Solution
Correct Answer
(A) \(5\)
Step-by-step Solution
Detailed explanation
Conductivity \(\sigma=5 \times 10^{7} \,S / m\) Radius \(r =0.5 \,mm =5 \times 10^{-4}\, m\) \(E =10 \times 10^{-3}\, \frac{ V }{ m }\) \(J =\sigma E =10 \times 10^{-3} \times 5 \times 10^{7}\) \(J =5 \times 10^{5}\) \(\frac{ i }{ A }=5 \times 10^{5}\)…
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