Question

what will be the magnetic field B in this question?​

Answer 1

Answer:

MAGNETIC FIELD ( B ) = 4π × 10^-8 T

OR

MAGNETIC FIELD ( B ) = μ / 10 T

Explanation:

★ MAGNETISM ★

★ GIVEN ;

» Radius ( R ) = 0.8 m

» Time = 1 Second

» Charge of Particle (q) = 2 × q

[ Helium ]

» Mass of Helium particle ( m ) = 4 × mp ( Mass of proton )

» Permeability Constant (μ) = 4π × 10^-7

★ MAGNETIC FIELD ( B ) = ???

____ [ BY USING FORMULA ] _____

$[Time ( \: T \: ) \: = \: \frac{ \: 2 \times \pi \: \times \: Mass \: ( \: M \: ) \: }{Charge \: ( \: q \: ) \: \times \: Magnetic \: field \: ( \: B \: )} ]$

★ T = [ 2 × π × m ] / q × B

» B = [ 2 × π × m ] / q × T

» B = [ 2 × π × 4 × 1.6 × 10^-27 ] / 2 × 1.6 × 10^-19 × 1

» B = [ 4 × π × 3.2 × 10^-27 ] / 3.2 × 10^-19

» B = [ 4 × π × 10^-27 ] / 10^-19

» B = [ 4π × 10^-7 × 10^-20 ] / 10^-19

» B = [ μ ] × [ 10^-20 / 10^-19 ]

» B = μ / 10 Tesla

★ MAGNETIC FIELD ( B ) = μ / 10 Tesla

_______________________________________

ANSWER :- MAGNETIC FIELD DUE TO HELIUM NUCLEUS IS ;

[ B = μ / 10 Wb / m² ]