12th Class Physics Sample Paper Physics Sample Paper-7

  • question_answer
    Obtain relations between
    (i) earth's magnetic field and its horizontal and vertical components,
    (ii) angle of dip and the horizontal and vertical components of the earth's magnetic field.


    We know that, \[{{B}_{H}}={{B}_{E}}\cos \delta \]                             ?(i) and       \[{{B}_{V}}={{B}_{E}}\sin \delta \]                              ?(ii) Here,     \[{{B}_{E}}\]= Earth?s magnetic field, \[{{B}_{H}}\] = horizontal component of magnetic field, \[{{B}_{V}}\]= vertical component of magnetic field and       \[\delta \] = Angle of dip. (i) Squaring Eqs, (i) and (ii) and then adding, we get \[B_{H}^{2}+B_{V}^{2}=B_{E}^{2}\] or \[{{B}_{E}}=\sqrt{B_{H}^{2}+B_{V}^{2}}\] (ii) Dividing Eq. (ii) by Eq. (i), we get             \[\frac{{{B}_{V}}}{{{B}_{H}}}=\tan \delta \] or \[{{B}_{V}}={{B}_{H}}.\tan \delta \]

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