Physics 2

A very long cylindrical insulator with a radius of 30 cm has a volumetric charge density of -80 $\frac{nC}{m^2}$. What is the volume of the electric field a distance of 10 cm away from the center? 30 cm from the center? 50 cm from the center?

Use Gauss's law to find the electric field around a conducting sphere of radius R, both within and outside the sphere. That is for a distance rR. (this is a calculus based derivation)

Find the total potential energy this set of point charges contains.

An electron is accelerated from rest through a potential difference of 1800 V. What is its speed?

Points A and B are in a region of uniform electric field, $\vec{E}$ = < 65, 0 > N/C. Point A is at < -0.1, 0 > and Point B is at < 0.7, 0 >. Find the electron potential difference between point A and B.

Points A and B are in a region of uniform electric field, $\vec{E}$ = < -85, 25 > N/C. Point A is at < -0.5, 0 > and Point B is at < 0.7, 0 >. Find the electron potential difference between point A and B.

A sphere carries a charge of +2 nC. Point A is X = 0.02 m to the direct right of the sphere, and point B is Y = 0.06 m to the right of the sphere. Find the electrostatic potential difference from A to B. (the solution involves calculus)

A very long thin wire carries a line charge density, $\lambda$ = 361.0 $\frac{nC}{m}$. Find the electric potential difference between points 3.0 m and 6.0 m on a perpendicular radius to the axis of the wire, provided the perpendicular radius is not near either end of the wire. (this problem requires calculus)

The figure below shows two capacitors. The capacitor on the left has a uniform electric field, $\vec{E}_1$ = < 535, 0 > N/C. The capacitor on the right has a uniform electric field, $\vec{E}_2$ = < -225, 0 > N/C. If we define the point directly between A and B to be the origin, then point A is at < -0.4 , 0 > and point B is at < 0.4, 0 >. Find the potential drop on the path from A to B. If a proton traveled from rest at point A to point B, what would be its kinetic energy at point B?

The capacitor below has a potential difference of 1010 V before an insulator is placed inside. The insulator placed inside has a diaelectric constant of k = 3.5. Find the electric potential difference across the capacitor with the insulator inside.

A circuit has 3 capacitors in series, A = 5 $\mu$F, B = 10 $\mu$F, C = 20 $\mu$F, with a 10 V battery. Find the potential difference across each individual capacitor.

A circuit has 2 capacitors in parallel, A = 20 $\mu$F, B = 10 $\mu$F, with a 10 V battery. Find the potential difference across each capacitor, and the charge of each capacitor.

What are the voltage drops across each capacitor? How much energy will capacitor C store?

The battery is 12 V

What are the charges and voltage drops across each capacitor?

What is the total energy stored by the 36 $\mu$F capacitor?

If the potential difference across the 20 $\mu$F capacitor is 12 V. What is the potential difference supplied by the battery? How much energy is stored in the 25 $\mu$F capacitor?

Find current and potential difference for each resistor.

Find the current flowing through the other two branches and the value of the resistor in the circuit below.

How much current flows through the 3 $\Omega$ resistor? The 4.5 $\Omega$ resistor? What is the value of $\Sigma$?

A circuit has the following R = 10 k$\Omega$, C = 25 $\mu$F, $\epsilon$ = 12 V.

How long will it take to charge the capacitor, C, to 10 V ?

How much current is flowing in the circuit at that time?