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Electric Charges And Fields

Question
CBSEENPH12039840

A coil of resistance 400 is placed in magnetic field. If the magnetic flux Φ (Wb) linked with the coil varies with time t  (sec) as Φ = 50t2 +4.
The current in the coil at t= 2 s is

  • 0.5 A

  • 0.1 A

  • 2 A

  • 1 A

Solution

A.

0.5 A

 Induced space emf space of space space coil space straight E space equals space open vertical bar negative dΦ over dt close vertical bar subscript straight t
Given comma space equals space 50 straight t squared space plus 4 space and space straight R space equals space 400 straight capital omega
straight E equals space open vertical bar negative dΦ over dt close vertical bar subscript straight t space equals 2 end subscript space
equals open vertical bar 100 straight t close vertical bar subscript straight t equals 2 end subscript space equals space 200 straight V
Current space space in space the space coil space
straight i space equals space straight E over straight R space equals space 200 over 400
space equals space 0.5 space straight A space