Potential due to q1 = 9x is V1 = k*q1/r1 = k*9x/sqrt(9L^2+4L^2) = 9*k*x/(L*sqrt(13)) = 2.5*k*x/L
potential due to q2 is V2 = k*q2/r2= -k*3x/3L = -k*x/L
potential due to q3 is V3 = k*q3/r3 = k*2x/2L = k*x/L
potential due to q4 is V4 = k*q4/r4 = k*(-7x)/(sqrt(8)*L) = -2.5*k*x/L
due to q5 is V5 = k*q5/r5 = k*4x/sqrt(L^2+4L^2) = 1.8*k*x/L
due to q6 is V6 = k*q6/r6 = k*(-2x)/2L = -k*x/L
due to q7 is V7 = k*q7/r7 = k*3x/L = 3*k*x/L
due to q8 is V8 = k*q8/r8 = k*(-7x)/(sqrt(8)*L) = -2.5*k*x/L
due to q9 is V9 = k*q9/r9 = k*(-4x)/(sqrt(5)*L) = -1.8*k*x/L
V = V1+V2+V3+V4+V5+V6+V7+V8+V9
V = kx/L[(2.5-1+1-2.5+1.8-1+3-2.5-1.8)]
V = -0.5*k*x/L
What is the potential at point A? Give your answer in terms of x, L, and...
What is the potential at point A? Give your answer in terms of
x, L, and k. Simplify your answer to at most three terms. (Hint:
look for things that cancel. Make a note of them, then you don’t
need to calculate.) (And you can simplify to just one term if you
want.)
q4-2x 96-6X 2L 2L s-2x q,-4x 8-2x 2L 2L q,-6x 10--6X 411-2x
Please don't refer to other questions. Thank you.Three point charges are arranged at the corners of a square of side L as shown in (Figure 1).1. What is the potential at the fourth corner (point A)?Express your answer in terms of the variables Q, L, and the Coulomb's constant k.
Q) What is the potential at the fourth corner (point A), taking
V=0 at a great distance? (Give your answer in terms of Q, l, ϵ0 and
appropriate constants.)
+Q -20 +30
Three point charges are arranged at the
corners of a square of side L as shown in the figure below. What is
the potential at the fourth corner (point A), taking V = 0 at a
great distance? Let q1 = -2Q and q2 = 1Q. (Express your answer in
terms of k, Q, & L.)
Three point charges are arranged at the corners of a square of side L as shown in the figure below. What is the potential...
Three point charges are arranged at the corners of a square of side L as shown in (Figure 1). Part A What is the potential at the fourth corner (point A)? Express your answer in terms of the variables Q, L, and the Coulomb's constant k. Figure < 1 of 1 > V AED A O O ? V- +Q9 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining < Return to Assignment Provide Feedback +3Q6
d. Find the general solution of the differential equation56-48x + 49y - 42xy dx Give an implicit solution in the form F(x)GK, in which the coefficient of x2 is 84. Answer: =K e. Find the particular solution of the differential equation (4 +x2)으-2V 16-r, such that y-t as x →-2. dx Simplify your answer as much as possible. Answer: y=
d. Find the general solution of the differential equation56-48x + 49y - 42xy dx Give an implicit solution in the...
Three point charges are arranged at the corners of a square of side L as shown in the figure below. What is the potential at the fourth corner (point A), taking V 0 at a great distance? Let q-2Q and q 4Q. (Express your answer in terms of k, Q, & L.) ko V L 4A
P1 What is the potential energy of the bob in terms of the
string length (L), the mass of the bob (m), and g? Take the zero of
potential energy to be at the bottom of the bob’s path.
P2 What is the kinetic energy of the bob in terms of the sting
length L, the tension in the string when the bob is at the bottom
of its arc (Ttotal), the mass of the bob (m), and g?
P3...
7. (a) (1 point) Define the linearization L(x) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (c) (4 points) determine the linearization L(x) of the function f(x) = Ýr at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);
7. (a) (1 point) Define the linearization L(x) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (c) (4 points) determine the linearization L(x) of the function f(x) = Ýr at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);