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Two solenoids A and B spaced close to ea...

Two solenoids `A` and `B` spaced close to each other and sharing the same cylindrical axis have `400` and `700` turns, respectively. A current of `3.50A` in coil `A` produced an average flux of `300muT-m^2` through each turn of `A` and `a` flux of `90.0mT-m^2` through each turn of `B`.
a. Calculate the mutual inductance of the two solenoids.
b.What is the self inductance of `A`?
c. What emf is induced in `B` when the current in `A` increases at the rate of `0.5A//s`?

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Knowledge Check

  • If the self inductance of 500 turns coil is 125 mH, then the self inductance of the similar coil of 800 turns is

    A
    `48.8 mH`
    B
    `200 mH`
    C
    `290 mH`
    D
    `320 mH`

  • If the number of turns per units length of a coils of solenoid is doubled , the self- inductance of the soleniod will

    A
    remain unchanged
    B
    be halved
    C
    be doubled
    D
    become four times

  • The self inductance of a solenoid that has a cross-sectional area of 1 cm^(2) , a length of 10 cm and 1000 turns of wire is

    A
    `0.86 mH`
    B
    `1.06 mH`
    C
    `1.26 mH`
    D
    `1.46 mH`

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