Two charges $Q _ { 1 } ( + 2.00 \mu \mathrm { C } ) \text { and } Q _ { 2 } ( + 2.00 \mu \mathrm { C } )$ are placed symmetrically along the x-axis at $x = \pm 3.00 \mathrm { cm }$. Consider a charge $Q _ { 3 }$ of charge $+ 4.00 \mu \mathrm { C }$ and mass 10.0 mg moving along the y-axis. If $Q _ { 3 }$ starts from rest at y = 2.00 cm, what is its speed when it reaches y = 4.00 cm?

What is the strength of the electric field between two parallel conducting plates separated by 1.00 cm and having a potential difference (voltage) between them of $1.50 \times 10 ^ { 4 } \mathrm { V }$?

A wire with a resistance of 5.0 $\Omega$ is drawn out through a die so that its new length is twice times its original length. Find the resistance of the longer wire. You may assume that the resistivity and density of the material are unchanged.

Two isolated, concentric, conducting spherical shells have radii $R_1 = 0.500$ m and $R_2 = 1.00$ m, uniform charges $q_1 = +2.00 \mu$C and $q_2 = +1.00 \mu$C, and negligible thicknesses. What is the magnitude of the electric field E at radial distance r = 4.00 m?

In open-heart surgery, a much smaller amount of energy will defibrillate the heart. (a) What voltage is applied to the $8.00 - \mu \mathrm { F }$ capacitor of a heart defibrillator that stores 40.0 J of energy? (b) Find the amount of the stored charge.

An evacuated tube uses an accelerating voltage of 40 kV to accelerate electrons to hit a copper plate and produce X-rays. Non-relativistically, what would be the maximum speed of these electrons?

Point charges q1 = 50μC and q2 = −25 μC are placed 1.0 m apart. What is the force on a third charge q3 = 20μC placed midway between q1 and q2?

The electric field strength between two parallel conducting plates separated by $4.00 \mathrm { cm } \text { is } 7.50 \times 10 ^ { 4 } \mathrm { V }$. (a) What is the potential difference between the plates? (b) The plate with the lowest potential is taken to be zero volts. What is the potential 1.00 cm from that plate and 3.00 cm from the other?

A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of $\lambda$. (a) Find the electric field inside and outside the cylinder. (b) Plot electric field as a function of distance from the center of the rod.

Two parallel conducting plates are separated by 10.0 cm, and one of them is taken to be at zero volts. (a) What is the electric field strength between them, if the potential 8.00 cm from the zero volt plate (and 2.00 cm from the other) is 450 V? (b) What is the voltage between the plates?

Three point charges are arranged as shown in Figure (a) Find the vector electric field that the 6.00-nC and $-3.00-\mathrm{nC}$ charges together create at the origin. (b) Find the vector force on the $5.00-\mathrm{nC}$ charge.

Charge is distributed along the entire x-axis with uniform density $\lambda$. How much work does the electric field of this charge distribution do on an electron that moves along the y-axis from y = a to y = b?

Write each statement in “If p, then q” form. I could buy the house provided that I could sell my condominium.

Three-point charges lie along a straight line , where $q_1=6.00 \mu \mathrm{C}, q_2=1.50 \mu \mathrm{C}$, and $q_3=-2.00 \mu \mathrm{C}$. The separation distances are $d_1=$ $3.00 \mathrm{~cm}$ and $d_2=2.00 \mathrm{~cm}$. Calculate the magnitude and direction of the net electric force on (a) $q_1$, (b) $q_2$, and (c) $q_3$.