On what factors does the capacitance of a conductor depend?
Answer
550.5k+ views
Hint : There are three major factors that can affect the value of capacitance in a conductor. The first among them is the size of the conductors, then the gap between the two parallel plates and the size of the conductor. That is ,capacitance increases with increase in area and decreases with increase in the distance between the parallel plates.
Complete step-by-step solution:
In general the capacitance of a capacitor is directly proportional to the area of the plates, inversely proportional to the distance between the parallel plates and the value of capacitance increases with increase in the permittivity of dielectric material.
$C=\varepsilon \dfrac{A}{d}$
Where C is the capacitance
A is the area of plates
‘d’ is the distance between the parallel plates
$\varepsilon _{{}}^{{}}$is the permittivity of dielectric material.
There are three major factors that can affect the value of capacitance in a conductor. The first among them is the size of the conductors. The second factor is the size of the gap between them. This gap between the two parallel plates of a capacitor is called the dielectric. And it also depends on the size of the conductor. That is, the bigger the conductors, the bigger the value of its capacitance. When the gap between the two parallel plates of a capacitor is small the capacitance will be larger.
Note: Thus we can define the capacitance as the amount of electric charge stored inside a conductor. The unit of capacitance is farad. And in other words we can define the capacitance as the ability of a capacitor to store charge. That means the more the value of capacitance the more charge it can store.
Complete step-by-step solution:
In general the capacitance of a capacitor is directly proportional to the area of the plates, inversely proportional to the distance between the parallel plates and the value of capacitance increases with increase in the permittivity of dielectric material.
$C=\varepsilon \dfrac{A}{d}$
Where C is the capacitance
A is the area of plates
‘d’ is the distance between the parallel plates
$\varepsilon _{{}}^{{}}$is the permittivity of dielectric material.
There are three major factors that can affect the value of capacitance in a conductor. The first among them is the size of the conductors. The second factor is the size of the gap between them. This gap between the two parallel plates of a capacitor is called the dielectric. And it also depends on the size of the conductor. That is, the bigger the conductors, the bigger the value of its capacitance. When the gap between the two parallel plates of a capacitor is small the capacitance will be larger.
Note: Thus we can define the capacitance as the amount of electric charge stored inside a conductor. The unit of capacitance is farad. And in other words we can define the capacitance as the ability of a capacitor to store charge. That means the more the value of capacitance the more charge it can store.
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