An electron and a proton, moving side by side at the same speed, enter a 0.020-T magnetic field. The electron moves in a circular path of radius 7.0 mm. Describe the motion of the proton qualitatively and quantitatively

a. Radius of the proton (r) = 12.85m

b. Velocity of the proton = 24.62 × 10⁶ m/s

c. Periodic Time (T) = 3.22 × 10⁻⁶ s

Explanation:

The motion of a proton can be described quantitatively and qualitatively by finding the velocity of the proton, the periodic time and radius of the proton.

The first step is to find the Radius of the circular path.

We would derive this formula for Force

Force = mass × acceleration

Where acceleration = (velocity)²/ radius

Therefore

Force of a proton  = Force of an electron

(mass of a proton × (velocity)²)/radius of a proton = (mass of a electron × (velocity)²)/radius of a electron

Radius of a proton = (mass of a proton × radius of an electron) ÷ mass of and electron

Mass of a proton = 1.67 × 10⁻²⁷kg

Mass of an electron = 9.1 × 10⁻³¹kg

Radius of an electron = 7.0mm = 7.0 × 10m

Radius of a proton = ( 1.67 × 10⁻²⁷kg× 7.0 × 10⁻³m) ÷ 9.1 × 10⁻³¹kg

Radius of a proton = ( 1.67 × 10⁻²⁷kg × 7.0 × 10⁻³m) ÷ 9.1 × 10⁻³¹kg

Radius of a proton = 12.85m

b. Velocity of a proton =

v = (B × r × q) ÷ m

Where B = Magnetic Flux = 0.020T

r = radius of a proton = 12.85m

q = charge of a proton = 1.602 × 10⁻¹⁹ coulombs

m = mass of a proton = 1.67 × 10⁻²⁷kg

Velocity of a proton = ( 0.020T × 12.85m × 1.602 × 10⁻¹⁹c ) ÷ 1.67 × 10⁻²⁷kg

Velocity of a proton = 24.62 × 10⁶ m/s

c. Periodic Time(T) = (2πr) ÷ v

where r = radius of a proton = 12.85m

v = velocity of a proton = 24.62 × 10⁶ m/s

T = (2 × π × 12.85m) ÷ 24.62 × 10⁶ m/s

= 3.22 × 10⁻⁶ s

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia