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1 answer:
<h2>C. 20 T</h2>
The strength of the magnetic field is equal to 20 Tesla.
<h3>Explanation:</h3>Given:
Induced potential difference = V = 12 V
Length of wire = L = 0.20 m
Speed of the moving wire = V = 3.0 m/s
Magnetic field strength = B = ?
A conductor, placed in a uniform magnetic field; when moved at a constant speed with respect to the field, leads to a changing magnetic flux, generating an electromotive force (EMF). Using, Faraday's law of magnetic induction, a moving conductor's induced EMF in terms of the magnetic field strength is given by :
......................(1)
where
E = Induced potential difference (EMF)
L = Length of the conductor
V = Speed of the conductor moved with respect to the magnetic field
B = Strength of uniform magnetic field
Rewriting equation (1) for B, we get
The strength of magnetic field is equal to 20 Tesla.
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Answer:
The motion is over-damped when λ^2 - w^2 > 0 or when > 0.86
The motion is critically when λ^2 - w^2 = 0 or when = 0.86
The motion is under-damped when λ^2 - w^2 < 0 or when < 0.86
Explanation:
Using the newton second law
k is the spring constante
b positive damping constant
m mass attached
x(t) is the displacement from the equilibrium position
Converting units of weights in units of mass (equation of motion)
From hook's law we can calculate the spring constant k
If we put m and k into the DE, we get
Denoting the constants
2λ = =
λ = b/0.215
λ^2 - w^2 =
This way,
The motion is over-damped when λ^2 - w^2 > 0 or when > 0.86
The motion is critically when λ^2 - w^2 = 0 or when = 0.86
The motion is under-damped when λ^2 - w^2 < 0 or when < 0.86