If the current flowing in the coils is a sinusoidal signal I=I0sin(t) which of t

Question

If the current flowing in the coils is a sinusoidal signal I=I0sin(t) which of the following statements best describes the amplitude of the generated voltage as the frequency increases? The amplitude of will decrease because the magnitude of the current will decrease The amplitude of will increase because the same magnitude of current changes in shorter period of time The amplitude of will not change as long as I0 is constant The amplitude of will decrease because the same magnitude of current changes in longer period of time The amplitude of will increase because the magnitude of the current will increase If the current flowing in the coils is a sinusoidal signal I=I0sin(t) which of the following statements best describes the amplitude of the generated voltage as a function of time when and I0 are constant? The magnitude of is largest when the current is at minimum because of the minus sign relating and the change in current The magnitude of does not change with time when and I0 are constant The magnitude of is largest when the current is zero because this is where the largest change in I occurs The magnitude of is largest when the current reaches maximum because this is where the largest change in I occurs

Explanation / Answer

To answer that statement is correct we will evaluate the expression induced electromotive force

a solenoid

B = (oN/l ) I

Faraday's law

E = - d B/dt

E = -d ( B A Cos )

In a normal solenoid of the coils and the magnetic field they are parallel in the vicinity of the center of the radius of the coil and is a rigid body A = Cte

E = -A dB/dt

E = -A w Io Cos (wt)

with this expression we can analyze each statement.

The claim is that w increases, as shown in the above expression if w increases in corrriente E that depends on w also increases, even with a phase shift of 90 deg

The best paragraph is : “The amplitude of will increase because the same magnitude of current changes in shorter period of time ”

The second claim is that s and Io is constant

in the initial expression we see that if w e io are constant E remains constant

The best paragraph is : The magnitude of does not change with time when and I0 are constant

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