Question

The relation of moving charge is the cause of energy.

Answer 1

Answer:

Magnetic force can cause a charged particle to move in a circular or spiral path. Cosmic rays are energetic charged particles in outer space, some of which approach the Earth. They can be forced into spiral paths by the Earth’s magnetic field. Protons in giant accelerators are kept in a circular path by magnetic force. The bubble chamber photograph in Figure 1 shows charged particles moving in such curved paths. The curved paths of charged particles in magnetic fields are the basis of a number of phenomena and can even be used analytically, such as in a mass spectrometer.

Explanation:

Because the magnetic force F supplies the centripetal force Fc, we have

qvB=mv2rqvB=mv2r.

Solving for r yields

r=mvqBr=mvqB.

Here, r is the radius of curvature of the path of a charged particle with mass m and charge q, moving at a speed vperpendicular to a magnetic field of strength B. If the velocity is not perpendicular to the magnetic field, then vis the component of the velocity perpendicular to the field. The component of the velocity parallel to the field is unaffected, since the magnetic force is zero for motion parallel to the field. This produces a spiral motion rather than a circular one.