The horizontal component of the earth’s magnetic field can be represented as
- Bsin(\(\theta\))
- B = Bcos(\(\theta\))
- BHcos(\(\theta\))
- BH cos(\(\theta\))
The Correct Option is B
Solution and Explanation
The horizontal component of the Earth's magnetic field is determined by resolving the total magnetic field vector B into its horizontal and vertical components. This is done by considering the angle \(\theta\) that the total magnetic field B makes with the horizontal.
To find the horizontal component BH, we use the cosine of the angle \(\theta\) since the horizontal component is adjacent to the angle in the right triangle formed by the magnetic field vector. This gives us the equation: BH = Bcos(\(\theta\))
This equation shows that the horizontal component is the product of the total magnetic field B and the cosine of the angle \(\theta\). Therefore, the correct representation of the horizontal component of the Earth's magnetic field is: BH = Bcos(\(\theta\))
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Concepts Used:
Magnetism & Matter
Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.
Magnetite is the world’s first magnet. This is also called a natural magnet. Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.
Read More: Magnetism and Matter
Some of the properties of the magnetic field lines are:
- The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
- They form closed loops traversing inside the magnet.
- But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
- More number of close lines indicate a stronger magnetic field
- The lines do not intersect each other
- The tangent drawn at the field line gives the direction of the field at that point.