TS EAMCET · Physics · Current Electricity
Charge passing through a conductor of cross-section area \(A=0.3 \mathrm{~m}^2\) is given by \(q=3 t^2+5 t+2\) in coulomb, where \(t\) is in second. What is the value of drift velocity at \(t=2 \mathrm{~s}\) ? (Given, \(n=2 \times 10^{25} / \mathrm{m}^3\) )
- A \(0.77 \times 10^{-5} \mathrm{~m} / \mathrm{s}\)
- B \(1.77 \times 10^{-5} \mathrm{~m} / \mathrm{s}\)
- C \(2.08 \times 10^{-5} \mathrm{~m} / \mathrm{s}\)
- D \(0.57 \times 10^{-5} \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(B) \(1.77 \times 10^{-5} \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\(A=0.3 \mathrm{~m}^2\) \(n=2 \times 10^{25} / \mathrm{m}^3\) \(q=3 t^2+5 t+2\) \(i=\frac{d q}{d t}=6 t+5=17\) \(i=n e A v_d\) Drift velocity, \(v_d=\frac{i}{n e A}\) \(=\frac{17}{2 \times 10^{25} \times 1.6 \times 10^{-19} \times 0.3}\) \(=\frac{17}{0.96 \times 10^6}\)…
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