At a place the value of the horizontal component of the earth's magnetic field is 3x10^5 wb
Answers
Answer:
Here,
Horizontal component, straight B subscript straight H space equals space 0.4 space cross times space 10 to the power of negative 4 end exponent straight T
Angle of dip, straight delta space equals space 45 to the power of straight o
Using the formula, box enclose straight B subscript straight V over straight B subscript straight H space equals space tan space straight delta space end enclose
Putting values, we get
straight B subscript straight V space equals space straight B subscript straight H space tan apostrophe straight delta
straight B subscript straight V space equals space 0.4 space cross times space 10 to the power of negative 4 end exponent space tan space 45 degree
straight B subscript straight V space equals space 0.4 space cross times space 10 to the power of negative 4 end exponent straight T
which is the required vertical component of Earth's magnetic field.
Using the below formula we can find the value of resulatant magnetic field.
box enclose straight B subscript straight H space equals space straight B subscript straight E space cos space straight delta space end enclose
space space space straight B subscript straight E space equals space fraction numerator straight B subscript straight H over denominator cos space straight delta end fraction
straight B subscript straight E space equals space fraction numerator 0.4 space cross times space 10 to the power of negative 4 end exponent over denominator cos space 45 degree end fraction space
space space space space space equals space 0.4 square root of 2 space cross times space 10 to the power of negative 4 end exponent straight T
straight B subscript straight E space equals space 0.5656 space cross times space 10 to the power of negative 4 end exponent straight T.
Horizontal component, straight B subscript straight H space equals space 0.4 space cross times space 10 to the power of negative 4 end exponent straight T
Angle of dip, straight delta space equals space 45 to the power of straight o
Using the formula, box enclose straight B subscript straight V over straight B subscript straight H space equals space tan space straight delta space end enclose
Putting values, we get
straight B subscript straight V space equals space straight B subscript straight H space tan apostrophe straight delta
straight B subscript straight V space equals space 0.4 space cross times space 10 to the power of negative 4 end exponent space tan space 45 degree
straight B subscript straight V space equals space 0.4 space cross times space 10 to the power of negative 4 end exponent straight T
which is the required vertical component of Earth's magnetic field.
Using the below formula we can find the value of resulatant magnetic field.
box enclose straight B subscript straight H space equals space straight B subscript straight E space cos space straight delta space end enclose
space space space straight B subscript straight E space equals space fraction numerator straight B subscript straight H over denominator cos space straight delta end fraction
straight B subscript straight E space equals space fraction numerator 0.4 space cross times space 10 to the power of negative 4 end exponent over denominator cos space 45 degree end fraction space
space space space space space equals space 0.4 square root of 2 space cross times space 10 to the power of negative 4 end exponent straight T
straight B subscript straight E space equals space 0.5656 space cross times space 10 to the power of negative 4 end exponent straight T.
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