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AP EAMCET · PHYSICS · Current Electricity

Two wires \(A\) and \(B\) of same material having length \(L_A, L_B\) and radii \(R_A, R_B\) and drift velocity \(v_A, v_B\) respectively carries same current. If \(L_A=L_B\) and \(R_A=2 R_B\) then the value of \(\left(\frac{v_A}{v_B}\right)\) is

  1. A \(0.25\)
  2. B \(0.5\)
  3. C \(2.0\)
  4. D \(1.0\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.25\)

Step-by-step Solution

Detailed explanation

Current through a wire is given by \(I=n e v_d A=n e v_d \pi R^2\) Here, \(n\) = number density of free charge carriers \(v_d=\) drift speed of electrons \(R=\) radius of wire \(e=\) charge on an electron Here, for two wires \(A\) and \(B\)…