A small solid sphere and a small thin hoop are rolling along a horizontal surface with the same translational speed when they en
2 answers:
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Answer:
The number of turns, N = 1750
Explanation:
It is given that,
The inner radius of a toroid, r = 12 cm
Outer radius, r' = 15 cm
The magnetic field at points within the coils 14 cm from its center is,
R = 14 cm = 0.14 m
Current, I = 1.5 A
The formula for the magnetic field at some distance from its center is given by :
N = 1750
So, the number of turns must have in a toroidal solenoid is 1750. Hence, this is the required solution.
Complete Question
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Answer:
The acceleration would be
Explanation:
The objective of this solution is to obtain the acceleration of the particle
Now looking at Newton law which is mathematically represented as
Where F is the force experience by a particle
m is the mass of the particle
a is the acceleration of the particle
And also this force is equivalent to magnetic force in a magnetic field which is mathematically represented as
Where q is the charge of the particle
v is the velocity of the charge
B is the magnetic field the charge is under it influence
Now equating this two formulas
Making a the subject we have
In the question the direction of the is in the positive x-axis which is hence the direction would be in the
direction
So substituting for B
Substituting for v and
for q
According to vector multiplication
So
