NEET Physics Electro Magnetic Induction NEET PYQ-Electro Magnetic Induction

  • question_answer
    A long solenoid has 500 rums. When a current of 2 A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is \[4\times {{10}^{-3}}\,Wb\]. The self-inductance of the solenoid is          [AIPMPT (S) 2008]

    A)  2.5 H    

    B)                   2.0 H

    C)  1.0 H              

    D)       4.0 H

    Correct Answer: C

    Solution :

    Key Idea: Inductance of a coil is numerically equal to the emf induced in the coil when the current in the coil changes at the rate of \[1A{{s}^{-1}}\].
    If \[I\] is the current flowing in the circuit, then flux linked with the circuit is observed to be proportional to I, i.e., \[\phi \propto I\] or \[\phi =LI\]           ...(i)
    where L is called the self-inductance or coefficient of self-inductance or simply inductance of the coil.
    Net flux through solenoid,
    \[\phi =500\times 4\times {{10}^{-3}}=2Wb\]
    or         \[2=L\times 2\]
    [after putting values in Eq. (i)] or \[L=1H\]


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