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Which of the following gives the value o...

Which of the following gives the value of magnetic field due to small current elememt accordong to Biot -Savart's law

A

`(iDeltalsintheta)/(r^(2))`

B

`(mu_(0))/(4pi)(iDeltalsintheta)/(r)`

C

`(mu_(0))/(4pi)(iDeltalsintheta)/(r^(2))`

D

`(mu_(0))/(4pi)(iDeltalsintheta)/(r^(3))`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Which of the following gives the value of magnetic field according to, Biot-Savart’s law

    A
    `(i/_\lsin theta)/(r^(2))`
    B
    `(mu_(0))/(4pi)(i/_\lsin theta)/r`
    C
    `(mu_(0))/(4pi)(i/_\l sin theta)/(r^(2))`
    D
    `(mu_(0))/(4pi) i /_\l sin theta`

  • The magnetic field bar(dB) due to a small current element bar(dl) at a distance vec(r) and carrying current 'I' is

    A
    `bar(dB)=(mu_(0))/(4pi)i((bar(dl)xxbar(r))/(r))`
    B
    `bar(dB)=(mu_(0))/(4pi)i^(2)((bar(dl)xxbar(r))/(r^(2)))`
    C
    `bar(dB)=(mu_(0))/(4pi)i^(2)((bar(dl)xxbar(r))/(r))`
    D
    `bar(dB)=(mu_(0))/(4pi)i((bar(dl)xxbar(r))/(r^(3)))`

  • The magnetic field at the origin due to the current flowing in the wire is

    A
    `-(mu_0I)/(8pia)(hati+hatk)`
    B
    `(mu_0I)/(2pia)(hati+hatk)`
    C
    `(mu_0I)/(8pia)(-hati+hatk)`
    D
    `-(mu_0I)/(4piasqrt2) (hati-hatk)`

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