Consider a car turning about curved path of radius 40 m and banking angle 5 degree without skidding.
1 answer:
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Answer:
(a) B = 2.85 × Tesla
(b) I = I = 0.285 A
Explanation:
a. The strength of magnetic field, B, in a solenoid is determined by;
r =
⇒ B =
Where: r is the radius, m is the mass of the electron, v is its velocity, q is the charge on the electron and B is the magnetic field
B =
=
B = 2.85 × Tesla
b. Given that; N/L = 25 turns per centimetre, then the current, I, can be determined by;
B = μ I N/L
⇒ I = B ÷ μN/L
where B is the magnetic field, μ is the permeability of free space = 4.0 ×Tm/A, N/L is the number of turns per length.
I = B ÷ μN/L
=
I = 0.285 A
To solve this problem it is necessary to apply the concepts related to the magnetic field.
According to the information, the magnetic field INSIDE the plates is,
Where,
Permeability constant
Electromotive force
r = Radius
From this deduction we can verify that the distance is proportional to the field
Then the distance relationship would be given by
On the outside, however, it is defined by
Here the magnetic field is inversely proportional to the distance, that is
Then,