Question

In: Physics

A parallel-plate capacitor has 2.18 cm2 plates that are separated by 5.69 mm with air between...

A parallel-plate capacitor has 2.18 cm2 plates that are separated by 5.69 mm with air between them. If a 18.0 V battery is connected to this capacitor, how much energy does it store?

Expert Solution

DATA:

SOLUTION

The energy stored by a parallel plate capacitor can be obtained using:

Where:

is the voltage on the capacitor.

is the capacitance, which is defined as:

Where:

is the permitivity of free space, which has a value of:

is the area of plates of the capacitor

is the distance between plates.

Now, first we need to find the capacitance , with the help of equation (2). Therefore, replacing (3) and data given values into equation (2) we have:

Solving we obtain:

Now, we can find the energy stored . Therefore, inserting (5) and data given values into equation (1) we have:

Solving we obtain:

genius_generous answered 2 years ago

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