Question

Calculate the strength of the magnetic field if the angular frequency of an electron is
5.93x10^5rad/s.
(a) 6.18 mT
(b) 3.38 UT
(c) 6.18 UT
(d) 3.38 ml​

Answer 1

Answer:

(a) 6.18 mT

Explanation:

Answer 2

Concept:

• Magnetic field
• An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field.
• Subatomic particles

Given:

• Angular frequency of the electron ω = 5.93× 10⁵ rad/s
• Mass of electron m = 9.1× 10⁻³¹ kg
• Charge of an electron q = 1.6 × 10⁻¹⁹ C

Find:

• The strength of the magnetic field due to the electron B

Solution:

The angular frequency of a rotating particle can be expressed as follows

ω = qB/m

B = mω/q

m = 9.1× 10⁻³¹ kg, ω = 5.93× 10⁵ rad/s, q = 1.6 × 10⁻¹⁹ C

B =  9.1× 10⁻³¹ × 5.93× 10⁵ / 1.6 × 10⁻¹⁹

B = 3.37 × 10⁻⁶ T

B = 3.37 μT

The strength of the magnetic field is 3.37 μT.

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