Question

In: Physics

Given a square of side a, lying in the x-y plane, with one corner at the...

Given a square of side a, lying in the x-y plane, with one corner at the origin and the two adjacent sides aligned with the x and y axis, respectively. Three of the corners of the square are occupied by fixed charges: two equal positive charges Q each at (a,0) and (0.a), and a negative charge -q at (a,a). There is NO charge at the origin (0.0). We want to find and discuss the NET electric field AT THE ORIGIN (call it E) due to the three given charges. Let’s do that step by step--

  1. (a) Sketch the setup.

  2. (b) State what the DIRECTION of E must be, no matter what the values of Q and q. No calculation

    required but give a convincing argument.

  3. (c) Now calculate E. (Remember, E is a vector!) Simplify your result by collecting all the x

    components and all the y components, and factoring out common factors.

  4. (d) For given Q what must be q such that E is zero? Give your answer in the form, q = c Q, where c

    is a NUMERICAL factor (like 1/5 or 2sqrt(2) or the like). Hint: careful inspection of your answer to part (c) will save you a new calculation!

Solutions

Expert Solution

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

Along, square, electrical heating element standing on a corner with one side of the square heating...
Along, square, electrical heating element standing on a corner with one side of the square heating element being 25mm, thermal conductivity k = 240 W/m ? K, density ñ = 2700 kg/m3, and specific heat cp = 900 J/kg ? K is installed in a duct for which air moves in cross flow over the heater at a temperature and velocity of 30°C and 10 m/s, respectively. (a) Neglecting radiation, estimate the steady-state surface temperature when, per unit length of...
find the point lying on the intersection of the plane, x + (1/4)y + (1/3)z =...
find the point lying on the intersection of the plane, x + (1/4)y + (1/3)z = 0 and the sphere x 2 + y 2 + z 2 = 25 with the largest z-coordinate. (x,y,z)=(_)
Write the class Square that takes X,Y and Side as parameters (these are used in the...
Write the class Square that takes X,Y and Side as parameters (these are used in the __init__ method) Write the method draw that will draw the square at location X,Y of size Side from the __init__ parameters using turtle graphics. Instantiate the class. Call the draw method The result of the program's execution will be to draw a square. Good descriptive comments are vital. No comments, no grade. There should be comments after every line, and you need to explain...
A nonslender square corner column is subjected to biaxial bending about its x and y axises....
A nonslender square corner column is subjected to biaxial bending about its x and y axises. It suppoerts a factored load  Pu= 300,000 lbs acting at eccentricities ex=ey= 7 in. Design the column size and reinforcement needed to resist the applied stresses. Given: f'c = 4000 psi fy = 60,000 psi. d'=2.5 in. Gross reinforcement percentage, px=0.03. Solve by using all three methods. Please show all work and explain your steps, please.
A square loop of wired with side length 2 cm is in the plane of the...
A square loop of wired with side length 2 cm is in the plane of the page. At time t= 0, a 9 T magnetic field is directed into the page. The field changes to 4 T directed into the page in 0.25 seconds. What is the magnetic flux through the loop of wire at time, t = 0? What is the magnetic flux through the loop of wire 0.25 seconds later?What is the emf induced in the loop of...
A straight wire lying in a horizontal plane carries a current of 20 A. (Given, μ0...
A straight wire lying in a horizontal plane carries a current of 20 A. (Given, μ0 = 4π × 10-7 Tm/A) (a) Find the magnitude of the magnetic field at a perpendicular distance of 35 cm from it on the plane. How do you know the direction of the magnetic field? (b) If the length of the current carrying straight wire is 0.75m and it makes an angle of 60° with the Earth’s magnetic field 6× 10-5 T, find the...
A straight wire lying in a horizontal plane carries a current of 20 A. (Given, μ0...
A straight wire lying in a horizontal plane carries a current of 20 A. (Given, μ0 = 4π × 10-7 Tm/A) (a) Find the magnitude of the magnetic field at a perpendicular distance of 35 cm from it on the plane. How do you know the direction of the magnetic field? (b) If the length of the current carrying straight wire is 0.75m and it makes an angle of 60° with the Earth’s magnetic field 6× 10-5 T, find the...
By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and...
By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the cardboard is 6 inches long by 6inches wide, find the value of x that will yield the maximum volume of the resulting box.
a square coil of side 0.18 and 68 turns is positioned with its plane parallel to...
a square coil of side 0.18 and 68 turns is positioned with its plane parallel to 43 T magnetic field. the coil is then turned so that the plane is now perpendicular the magnetic field, in a time of 9ms, what is the magnitude of the induced emf in units of V in the coil
Given the plot of y=f(x) below, find the plot of y=f−1(x). A coordinate plane has a...
Given the plot of y=f(x) below, find the plot of y=f−1(x). A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. A curve starts at the point left-parenthesis negative 1 comma 0 right-parenthesis, rises at an increasing rate from left to right and passes through left-parenthesis 1 comma 1 right-parenthesis and left-parenthesis 4 comma 6 right-parenthesis. Select the correct...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT