Exam 25: Capacitance

An air-filled capacitor is charged, and then a dielectric is inserted.As a result, there is an induced charge on the dielectric.What is the difference between induced charge and free charge?

Two parallel-plate capacitors with different plate separation but the same capacitance are connected in series to a battery.Both capacitors are filled with air.The quantity that is NOT the same for both capacitors when they are fully charged is:

The diagram shows six 6- $\mu$ F capacitors.The capacitance between points a and b is:

A parallel-plate capacitor has a plate area of 0.3 m² and a plate separation of 0.1 mm.If the charge on each plate has a magnitude of 5 *10^-6 C then the force exerted by one plate on the other has a magnitude of about:

There are approximately 10 explosions in the US every year due to agricultural grain (corn and soybean)dust.Why is corn dust so dangerous?

Let Q denote charge, V denote potential difference and U denote stored energy.Of these quantities, capacitors in parallel must have the same:

Each of the four capacitors shown is 500 $\mu$ F.The voltmeter reads 1000V.The magnitude of the charge on each capacitor plate is:

A battery is used to charge a parallel combination of two identical capacitors.If the potential difference across the battery terminals is V and the total charge Q flows through the battery during the charging process then the charge on the positive plate of each capacitor and the potential difference across each capacitor are:

Capacitor C₁ is connected alone to a battery and charged until the magnitude of the charge on each plate is 4.0 * 10^-8 C.Then it is removed from the battery and connected to two other capacitors C₂ and C₃, as shown.The charge on the positive plate of C₁ is then 1.0 *10^-8 C.The charges on the positive plates of C₂ and C₃ are:

Which of the following is not a dielectric?

An air-filled parallel-plate capacitor has a capacitance of 1 pF.The plate separation is then doubled and a wax dielectric is inserted, completely filling the space between the plates.As a result, the capacitance becomes 2 pF.The dielectric constant of the wax is:

If the charge on a parallel-plate capacitor is doubled:

A 20-µF capacitor is charged to 200 V.Its stored energy is:

A parallel-plate capacitor has a plate area of 0.30 m² and a plate separation of 0.10 mm.If the charge on each plate has a magnitude of 5.0 *10^-6 C, what is the energy density in its electric field?

A parallel-plate capacitor, with air dielectric, is charged by a battery, after which the battery is disconnected.A slab of glass dielectric is then slowly inserted between the plates.As it is being inserted:

A charged capacitor stores 10 C at 40 V.Its stored energy is:

What is the difference between a polar dielectric and a nonpolar dielectric?

A battery is used to charge a series combination of two identical capacitors.If the potential difference across the battery terminals is V and total charge Q flows through the battery during the charging process then the charge on the positive plate of each capacitor and the potential difference across each capacitor are:

A 2- $\mu$ F and a 1- $\mu$ F capacitor are connected in series and charged from a battery.They store charges P and Q, respectively.When disconnected and charged separately using the same battery, they have charges R and S, respectively.Then:

A farad is the same as a: