What is the speed of a charged body intersecting in a magnetic field with an induction of 2 tesla

| August 11, 2021 | education

What is the speed of a charged body intersecting in a magnetic field with an induction of 2 tesla if it is acted on by a force of 32 Newtans from the side of the magnetic field, the speed and the magnetic field are mutually perpendicular; the charge of the body is equal to 0.5 micro coulomb.

B = 2 T.

Fl = 32 N.

q = 0.5 μC = 0.5 * 10 ^ -6 C.

∠α = 90 “.

V -?

A moving charge in a magnetic field is acted upon by the Lorentz force Fl, which is determined by the formula: Fl = q * B * V * cosα, where q is the magnitude of the particle charge, B is the magnetic induction of the field, V is the velocity of the charge, ∠α is the angle between the magnetic induction B and speed V.

Let us express the speed of movement of the charge: V = Fl / q * B * cosα.

V = 32 N / 0.5 * 10 ^ -6 C * 2 T * cos90 “= 32 * 10 ^ 6 m / s.

Answer: the speed of a charged particle is V = 32 * 10 ^ 6 m / s.



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