What is the time constant for the discharge of the capacitor? express your answer with the appropriate units?
1 answer:
The time constant for the discharge of a capacitor in a RC circuit is given by
where R is the equivalent resistance of the circuit and C is the capacitance of the capacitor. The time constant corresponds to the time after which the charge on the capacitor has reduced to
of the initial charge on the capacitor.
Since it is a time, the units of the time constant are seconds:
![[\tau]=[s]](https://tex.z-dn.net/?f=%5B%5Ctau%5D%3D%5Bs%5D)
where R is the equivalent resistance of the circuit and C is the capacitance of the capacitor. The time constant corresponds to the time after which the charge on the capacitor has reduced to
Since it is a time, the units of the time constant are seconds:
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The two forces of gravity are equal
Explanation:
We can answer this question by applying Newton's third law of motion, which states that:
"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"
In this problem, we can identify the Sun as object A and the Earth as object B. This means that the force of gravity exerted by the Sun on the Earth is the action, while the force of gravity exerted by the Earth on the Sun is the reaction: according to Newton's third law, these two forces are equal and opposite.
Therefore, the two forces of gravity are equal in magnitude, which is given by:
where
G is the gravitational constant
M is the mass of the Sun
m is the mass of the Earth
r is the separation between the Earth and the Sun
Learn more about Newton's third law:
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