An inductor is connected in series to a fully charged capacitor. Which of the following statements are true? Check all that appl
1 answer:
Answer:
As the capacitor is discharging, the current is increasing
Explanation:
Lets take
C= Capacitance
L=Inductance
V=Voltage
I= Current
The total energy E given as
We know that total energy E is conserved so when electric energy 1/2 CV² decreases then magnetic energy 1/2 IL² will increases.
It means that when charge on the capacitor decreases then the current will increase.
As the capacitor is discharging, the current is increasing
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According to Newton’s law of universal gravitation, as we move to higher altitudes, the force of gravity on us decreases and as we gain mass, the force of gravity on us increases both are the true statement.
<u>Explanation: </u>
Newton law of universal gravity extends gravity beyond the earth's surface. This gravity depends on the masses directly and inverse to the distance square between their centers.
Where,
F – Force, G – gravitational constant, M and m – masses in kg, r – distance in meters.
Since force is proportional to the masses of interacting objects. If the mass of any one object increases, gravity between them also gets increased. When moving to higher altitude, force decreases as the distance is inverse proportion to gravity.
The fundamental frequency on a vibrating string is given by:
where
L is the length of the string
T is the tension
is the mass per unit length of the string
Keeping this equation in mind, we can now answer the various parts of the question:
(a) The fundamental frequency will halve
In this case, the length of the string is doubled:
L' = 2L
Substituting into the expression of the fundamental frequency, we find the new frequency:
So, the fundamental frequency will halve.
(b) the fundamental frequency will decrease by a factor
In this case, the mass per unit length is doubled:
Substituting into the expression of the fundamental frequency, we find the new frequency:
So, the fundamental frequency will decrease by a factor .
(c) the fundamental frequency will increase by a factor
In this case, the tension is doubled:
Substituting into the expression of the fundamental frequency, we find the new frequency:
So, the fundamental frequency will increase by a factor .