3747

Physics Electrostatics Level: University

Energy of Capacitor
A lightning flash transfers 4.08 C of charge and 3.03 MJ of energy to the Earth. Between what potential difference did it travel?



3746

Physics Electrostatics Level: University

Capacitor
Consider the earth and a cloud layer 840 m above the Earth to be the plates of a parallel-plate capacitor. Assume that the cloud layer has an area of 1.14 km^2 = 1.14  X 10^6 m^2. If an electric field strength greater than 3.27 X 10^6 V/m causes the air to break down and conduct charge ( lightning) What is the maximum charge the cloud can hold?



3745

Physics Electrostatics Level: University

 Potential and field intensity
Consider an electron between the plates of a charged capacitor.The figure below shows a situation where the potential difference across the  capacitor (V) and the separation between the capacitor plates (d) vary, The values for six specific situations are given below.
Rank them in order of increasing magnitude of the force felt by the electron from smallest to largest
(If B is smallest then A C D and finally E is largest enter BACDE)
( Note: If of equal magnitude then enter in the order listed)
A. d = 3m           V= 100 volts
B. d = 3m            V = 60 volts
C. d = 4.5m        V = 90 volts
D.  d = 4.5m       V = 150 volts
E.  d = 3m          V = 60 volts
F. d = 3.5m        V = 100 volts



3723

Physics Electrostatics Level: University

Potential Energy
Calculate the speed of (a) a proton and (b) an electron after each particle accelerates  from rest through potential difference of 190V.



3722

Physics Electrostatics Level: University

Potential
The electric potential of a system as a function of position along the axis is given in figure 20-22. (a) In which of the regions 1,2,3 or 4 do you expect E sub x to be greatest. In which region does E sub x have its greatest magnitude .Explain. (b)Calculate the value of E sub x in each of the three regions 1, 2, 3, and 4 .



3721

Physics Electrostatics Level: University

Potential
A typical 12-V car battery can deliver 7.5 x 10 to the 5th C of charge. If  the energy supplied by the battery could be converted entirely to kinetic energy. What speed would it give to a 1200-kg car.



3720

Physics Electrostatics Level: University

Potential
The earth has an electric field with a magnitude of approximatly 100v/m near its surface. What is the potential difference between a point on the ground  and a point on the same  level as the top of the Washington Monument (555 ft high)



3719

Physics Electrostatics Level: University

Capacitor
Nerve cells are long, thin cylinders along which electrical disturbances ( never impulses) travel. The cell membrane of a typical nerve cell consists of an inner and outer well separated by a distance of. 10 um. The electric  field within the cell membrane  is 7.0 x 10 to 5th N/C. Approximating the cell membrane as a  parallel- plate capacitor determine the magnitude of the charge density on the inner and outer cell walls.



3710

Physics Electrostatics Level: University

Capacitor
A parallel plate capacitor is constructed with circular plates of radius 0.750 cm and plate separation 0.0500 mm. If the capacitor is connected across a 37.2V source find.
(a) The capacitance.
(b) The surface charge in each plate.
(c) The energy stored in the capacitor.
(d) The electric field between plates.
(e) If a slab of plastic with dielectric constant K = 3.6 is inserted between the plates of the capacitor What will the capacitance be?



3705

Physics Electrostatics Level: University

Coulombs Law
Three charges lie along the x-axis. The positive charge q1 = 15 uC is at x = 2M and a positive charge q2 = 6 uC is  at the origin. Where must a negative charge q3 be placed on the x-axis so that the resultant force will be 0? (Answer 0.78m)



3704

Physics Electrostatics Level: University

Coulombs Law
Three equal charges of +6 uC are spaced along a line. The end charges are 2 m from the central charge. What are the magnitude and direction of the force on each charge.



3650

Physics Electrostatics Level: University

Electric field
Sketch the electric field lines for the system of charges shown in 19-32



3649

Physics Electrostatics Level: University

Figure 19 - 32 shows a system consisting of three charges q1 = +5.oo uC   q2 = +5.00 uC and   q3 = + 5.00 uC at the  verticces of an equilateral traingle of side d=2.75 cm. (a) Find the magnitude of the electric field at a point halfway between the charges q1 and q2. (b) Is the magnitude of the electric field halfway between the charges q2 and q3 greater than less than or the same as the electric field found in fart (a) explain. (c) Find the magnitude of the elctric field at the point specified in part(b).



3648

Physics Electrostatics Level: University

Principle of super position
The point charges in 19-32 have the following values q1 = 2.1uC  q2 = + 6.3 uC q3 = -89 uC. (a) Given that the  distance d in figure 19 - 32 is 4.35 cm, Find the direction and magnitude of the net electrostatic force exerted on the point charge q1. (b) How would your answer to part (a) change of the distance d were doubled explain



3647

Physics Electrostatics Level: University

Two pont charges lie on the x axis.A charge of + 9.9 uC is at the origin and a charge of -5.1 uC is at x = 10.0cm (a) At what position x would a third charge q3 be in equilibrium. (b) Does your answer to part (a) Depened on whether q3 is positive or negative, Explain.

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