Question:

The magnetic needle of a tangent galvanometer is deflected at an angle $30^{\circ}$ due to a magnet. The horizontal component of earth's magnetic field $0.34$ $\times 10^{-4} T$ is along the plane of the coil. The magnetic intensity is

Updated On: Aug 1, 2022
  • $1.96 \times 10^{-4} T$
  • $1.96 \times 10^{4} T$
  • $1.96 \times 10^{-5} T$
  • $1.96 \times 10^{5} T$
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The Correct Option is C

Solution and Explanation

Angle through which magnet is deflected $( \theta )=30^{\circ}$ and horizontal magnetic field $\left( B _{ H }\right)=0.34 \times 10^{-4} T$. Magnetic intensity $= B _{ H } \tan\,\theta$ $ =0.34 \times 10^{-4} \times \tan 30^{\circ}$ $=\left(0.34 \times 10^{-4}\right) \times 0.577$ $=1.96 \times 10^{-5} T$
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Concepts Used:

Magnetic Field

The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.

A magnetic field can be presented in two ways.

  • Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
  • Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.

Properties of Magnetic Field Lines

  • Magnetic field lines never cross each other
  • The density of the field lines indicates the strength of the field
  • Magnetic field lines always make closed-loops
  • Magnetic field lines always emerge or start from the north pole and terminate at the south pole.