Physics Electrostatics Level: High School
Gauss’ Law
A conducting sheet with a very large surface area has a thickness of 2.1 cm . Surface area is infinite . It has a uniform surface charge density of +1 e/cm2 on each of its faces . What is the direction and magnitude of the electric field 1.5 cm away from sheet ?
Physics Electrostatics Level: High School
A thin rod of length l and uniform charge per unit length lamda lies along the x axis , as shown in the figure at ‘click here’ .a) Show that the electric field at P , a distance y from the rod along its perpendicular bisector , has no x component and is given by E = 2ke lamda sin theta 0 / y .
b) Using your result to part (a), show that the field of a rod of infinite length is E = 2ke lamda / y .
(Hint : Calculate the field at P due to an element of length dx , which has a charge lamda dx . Then change variables from x to theta , using the relationships x = y tan theta and integrate over theta .)
Physics Electrostatics Level: High School
Consider a uniformly charged thin-walled right circular cylindrical shell having total charge Q , radius R , and height h . Determine the electric filed at a point a distance d from the right side of the cylinder as shown in the figure at “click here” . Hint : Treat the cylinder as a collection of ring charges .
Physics Electrostatics Level: High School
A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in the figure at ‘click here’ . The rod has a total charge of -7.50 micro C . Find the magnitude and direction of the electric field at O, the center of the semicircle .
Physics Electrostatics Level: High School
A continuous line of charge lies along the x axis , extending from x = +x0 to positive infinity . The line carries charge with a uniform linear charge density lamda 0 . What are the magnitude and direction of the electric field at the origin ?
Physics Electrostatics Level: High School
The current through a certain lighted light bulb is 0.50 A . How much charge flows through the bulb each second ? How many electrons flow through the bulb each second ?
Physics Electrostatics Level: High School
The electric field between two parallel metal plates is 3 x 10 to the 4th V/m . Consider two equipotential planes between the plates . We wish the potential difference between them to be 10 V . How far apart are these two equipotential planes ?
Physics Electrostatics Level: High School
In a TV tube , the beam shoots between two charged . closely spaced ,parallel metal plates . The electric field between the plates deflects the beam across the TV screen . If the potential difference between the plates is 140 V , how large is E between them ? The gap between the plates is 1.50 mm .
Physics Electrostatics Level: High School
A cylinder capacitor consists of two concentric metal cylinders . The cylinders are 20 cm long . they have a 0.10 mm gap between them , and the outer radius of the inner cylinder is 3 cm . What is the approximate capacitance of this capacitor ?
Physics Electrostatics Level: High School
What must be the capacitance of a device that is to hold a charge of 2 micro C when 1000 V is impressed across it ?
Physics Electrostatics Level: High School
A potential difference of 25 V exists across a 0.75 micro F capacitor . How large is the charge on the capacitor ?
Physics Electrostatics Level: High School
An electron is projected into a uniform electric field that has a magnitude of 5000 NC . The direction of the field is vertically upward . The initial velocity of the electron has a magnitude of 6.0*10^6 m/s and direction is at an angle of 30 degrees above the horz.a) Find maximum distant the electron rises vertically above its initial elevation.
b) After what horz distance does the electron return to its original elevation .
c) sketch the trajectory of the electron .
Physics Electrostatics Level: High School
In a rectangle coordinate system a charge with a magnitude of 2.50*10^-8 C is placed at point x = +.1 m y = 0 and an identical point charge placed at x = -.1m , y = 0 . Find magnitude and direction of the electric field at the following points .a) Origin
b) x =. 2m , y = 0
c) x = 1m, y = .15 m
d) x = 0, y = .1 m
Physics Electrostatics Level: High School
A uniform electric field exists in the region between two oppositely charged plane parallel plates . An electron is released from rest at the surface of the negatively charged plate and strikes the surface of the opposite plate 3.2 cm distant from the first , in a time interval of 1.5 *10^-8 sec .a) Find the electric field magnitude .
b) Find the speed of the electron when it strikes the second plate .
Physics Electrostatics Level: High School
A 30 micro F capacitor is charged to 80 V and then connected across an initial uncharged capacitor of unknown capacitance C . If the final potential difference across the 30 micro F capacitor is 20 V , determine C .Bonus : Charge of uniform density (3.5 nC/m) is distributed along the circular are shown in the figure at “click here” . Determine the electric potential (relative to zero at infinity) at point P .
