Capacitance and electric field homework

In summary, capacitance is a measure of an object's ability to store electric charge and is calculated using the equation C = Q/V. The factors that affect capacitance include size, shape, distance between plates, and material used. Increasing capacitance decreases the electric field between plates, and it is used in applications such as energy storage, filtering electronic signals, and in electrical circuits to smooth out voltage fluctuations. It is also used in touch screens, cameras, and power factor correction in power systems.
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Homework Statement



ions and electrons produced in the electric field between the hand and the plate (3.0 x 10^6 Vm^-1) are accelerated and may collide with other particles, causing further ionisation. Calculate the force on an electron in this field.

Homework Equations



E=V/d

The Attempt at a Solution

 
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1. What is capacitance?

Capacitance is a measure of an object's ability to store electric charge. It is defined as the ratio of the electric charge stored on an object to the potential difference between the object's plates.

2. How is capacitance calculated?

Capacitance is calculated using the equation C = Q/V, where C is capacitance, Q is charge, and V is potential difference. It is measured in farads (F).

3. What factors affect capacitance?

The factors that affect capacitance include the size and shape of the object, the distance between its plates, and the type of material used. Capacitance increases with larger surface area, smaller distance between plates, and materials with higher permittivity.

4. What is the relationship between electric field and capacitance?

The electric field between the plates of a capacitor is directly proportional to the potential difference and inversely proportional to the distance between the plates. Therefore, increasing the capacitance (by increasing the surface area or decreasing the distance between plates) will decrease the electric field.

5. How is capacitance used in practical applications?

Capacitors are used in a variety of practical applications, including energy storage, filtering of electronic signals, and in electrical circuits to smooth out voltage fluctuations. They are also used in touch screens, cameras, and power factor correction in power systems.

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