Energy Stored in a Capacitor

The video tutorial explains the derivation of the energy stored in a capacitor, starting with an uncharged capacitor. It covers the work needed to move charges, evaluates the integral for charging a capacitor, and presents different expressions for the energy stored. The tutorial also discusses assumptions about capacitor plate size and demonstrates discharging a capacitor using a metal paper clip. An example calculation of energy stored in a disposable camera capacitor is provided, including a conversion to electron volts. The session concludes with a humorous reference to a movie scene.

What happens to the work required when moving the first infinitesimally small charge between the plates of an uncharged capacitor?

• It requires double the work.

• It requires zero work.

• It requires maximum work.

• It requires half the work.

Which of the following expressions represents the energy stored in a capacitor in terms of charge and capacitance?

• Q^2 / 2C

• C^2 / 2Q

• 2Q / C

• C / 2Q

Why can we assume the plates of a parallel plate capacitor are infinitely large in derivations?

• Because it simplifies the math.

• Because electrons are large enough to see the plates as finite.

• Because it is a common misconception.

• Because to an electron, the plates appear infinitely large.

What safety measure is mentioned when discharging a capacitor with a metal paper clip?

• Using a wooden stick instead of a metal clip.

• Wearing shoes that insulate from the ground.

• Standing in a pool of water.

• Wearing rubber gloves.

How much energy is stored in the capacitor of the disposable camera, as calculated in the video?

• 1.5 joules

• 330 joules

• 120 joules

• 6.5 joules

What is the equivalent of 6.5 joules in electron volts, as discussed in the video?

• 1.6 billion billion electron volts

• 1.6 billion electron volts

• 41 billion billion electron volts

• 41 billion electron volts

What humorous comparison is made regarding the energy released by the capacitor?

• It is compared to a billion electron volts in a movie.

• It is compared to a car battery.

• It is compared to a nuclear explosion.

• It is compared to a lightning strike.