A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is…

Physics · JEE Advanced · NTA ExamsElectromagnetic Induction and Alternating Currents

A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails lie in the same horizontal plane, as shown in the figure. Two ends of
the semi-circular rod are at distances 1 cm and 4 cm from the wire. At time t = 0, the rod starts moving on the rails with a speed v = 3.0 m s–1 (see the figure).
 
A resistor R =1.4 Ω and a capacitor C0 = 5.0 μF are connected in series between the rails. At time t = 0, C0 is uncharged. Which of the following statement(s) is(are) correct?
0 = 4π × 10−7 SI units. Take ln2 = 0.7]
  1. Maximum current through R is 1.2 ×10−6 ampere.
  2. Maximum current through R is 3.8 × 10−6 ampere.
  3. Maximum charge on capacitor C0 is 8.4 × 10−12 coulomb.
  4. Maximum charge on capacitor C0 is 2.4 ×10−12 coulomb.

Answer

(B) Maximum current through R is 3.8 × 10 −6 ampere.

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