Answer:
Therefore,
Current required is , I
Explanation:
Given:
Turns = N = 1140
length of solenoid = l = 0.415 m
Magnetic Field,
To Find:
Current , I = ?
Solution:
If N is the number of turns in the length, the total current through the rectangle is NI. Therefore, Ampere’s law applied to this path gives
Where,
B = Strength of magnetic field
l = Length of solenoid
N = Number of turns
I = Current
Therefore,
Substituting the values we get
Therefore,
Current required is , I
Answer:
the magnetic field experienced by the electron is 0.0511 T
Explanation:
Given the data in the question;
Wavelength λ = 21 cm = 0.21 m
we know that Bohr magneton μ is 9.27 × 10⁻²⁴ J/T
Plank's constant h is 6.626 × 10⁻³⁴ J.s
speed of light c = 3 × 10⁸ m/s
protein spin causes magnetic field in hydrogen atom.
so
Initial potential energy = -μB × cos0°
= -μB × 1
= -μB
Final potential energy = -μB × cos180°
= -μB × -1
= μB
so change in energy will be;
ΔE = μB - ( -μ
B )
ΔE = 2μB
now, difference in energy levels will be;
ΔE = hc/λ
2μB = hc/λ
2μBλ = hc
B = hc / 2μλ
so we substitute
B = [(6.626 × 10⁻³⁴) × (3 × 10⁸)] / [2(9.27 × 10⁻²⁴) × 0.21 ]
B = [ 1.9878 × 10⁻²⁵ ] / [ 3.8934 × 10⁻²⁴ ]
B = 510556326.09
B = 0.0511 T
Therefore, the magnetic field experienced by the electron is 0.0511 T