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4. Express the average distance from a point on a square of side length 2b to the center of the square in the form kb, where k (expressed as an integral) and p are constants. First determine the valu...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius of the toroid is R. You may express your results in terms ofN, R,a, i, and natural constants. Use Ampere's Law, prove that the magnetic field at a point inside the toroid and a distance r from the center is given by ue Ni/ (2 r). Find the magnetic flux through the cross section of the toroid....
(1 point) (a) Evaluate the integral Your answer should be in the form kT, where k is an integer. ...
help me with this.
(1 point) (a) Evaluate the integral Your answer should be in the form kT, where k is an integer. What is the value of k? (Hint: darctan(z)- dr 2+1 tb) Now, lets evaluate the same integral using power series. First, find the power series for the function f(). Then, integrate it from 0 to 2, and call it S. S should be an infinite series an What are the first few terms of S 16 2+4...
1. The distance from the center of a lens to the location where parallel rays converge...
1. The distance from the center of a lens to the location where parallel rays converge or appear to converge is called the length. convergence O meeting O focal O None of the above 2. When incoming rays are the focal point and the image point are the same. O parallel O from a nearby object O passing through the near side focal point O None of the above 3. A(n) image will not appear on a screen placed at...
The charge per unit length on the thin rod of length L shown below is λ what is the electric field at the point P, distance a away from the right end of the rod?
The charge per unit length on the thin rod of length L shown below is λ what is the electric field at the point P, distance a away from the right end of the rod? 1. Define a segment of charge: 2. Express the charge of one segment: 3. Express the E field of that one segment. 4. Integral each of the components of that field:
Four point charges are placed at the corners of a square as shown in the figure....
Four point charges are placed at the corners of a square as shown in the figure. Each side of the square has length 2.0 m. Determine the magnitude of the electric field at the point P, the center of the square. Top right corner has a charge of 1 uC, bottom right corner has a charge of +4 uC, top left corner has a charge of +4 uC (top left and bottom right corners cancel out), and bottom left corner...
We can play a variation of a child's game called "What am 12" that I will call "Where am 1? (a) I am a square. The intersection of my two diagonals lies at the point (4, 4), and the l...
We can play a variation of a child's game called "What am 12" that I will call "Where am 1? (a) I am a square. The intersection of my two diagonals lies at the point (4, 4), and the length of each of my sides is 8. My sides form horizontal and vertical lines. Where am I? Order your answers from smallest to largest x, then from smallest to largest y.) x, y) (x, y)s x, y) (x, y) (b)...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 ...
need help
Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A cylindrical Gaussian surface of radius d is drawn with the wire along its central axis, as shown above. Point P is located at the center of one end of the cylinder, a distance d from the end of the wire. Point Q is on the edge of the cylinder directly above the center of the wire, as shown above. A student says, "Gauss's law...
Problem 4. Radiation from the black hole accretion disk.] In this problem you will find the...
Problem 4. Radiation from the black hole accretion disk.] In this problem you will find the temperature of an accretion disk surrounding the black hole, and the wavelength of maximal radiation from the disk. Note that the calculation is super-simplified - if you take more advanced astronomy courses, you will do the same calculation more carefully. In this problem 'BH' means black hole. We will consider the BH of mass equal to twenty solar masses MBH = 20 MSun. (a)...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius of the toroid is R. You may express your results in terms ofN, R,a, i, and natural constants. Use Ampere's Law, prove that the magnetic field at a point inside the toroid and a distance r from the center is given by ue Ni/ (2 r). Find the magnetic flux through the cross section of the toroid....
help me with this.
(1 point) (a) Evaluate the integral Your answer should be in the form kT, where k is an integer. What is the value of k? (Hint: darctan(z)- dr 2+1 tb) Now, lets evaluate the same integral using power series. First, find the power series for the function f(). Then, integrate it from 0 to 2, and call it S. S should be an infinite series an What are the first few terms of S 16 2+4...
1. The distance from the center of a lens to the location where parallel rays converge or appear to converge is called the length. convergence O meeting O focal O None of the above 2. When incoming rays are the focal point and the image point are the same. O parallel O from a nearby object O passing through the near side focal point O None of the above 3. A(n) image will not appear on a screen placed at...
We can play a variation of a child's game called "What am 12" that I will call "Where am 1? (a) I am a square. The intersection of my two diagonals lies at the point (4, 4), and the length of each of my sides is 8. My sides form horizontal and vertical lines. Where am I? Order your answers from smallest to largest x, then from smallest to largest y.) x, y) (x, y)s x, y) (x, y) (b)...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
need help
Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A cylindrical Gaussian surface of radius d is drawn with the wire along its central axis, as shown above. Point P is located at the center of one end of the cylinder, a distance d from the end of the wire. Point Q is on the edge of the cylinder directly above the center of the wire, as shown above. A student says, "Gauss's law...
Problem 4. Radiation from the black hole accretion disk.] In this problem you will find the temperature of an accretion disk surrounding the black hole, and the wavelength of maximal radiation from the disk. Note that the calculation is super-simplified - if you take more advanced astronomy courses, you will do the same calculation more carefully. In this problem 'BH' means black hole. We will consider the BH of mass equal to twenty solar masses MBH = 20 MSun. (a)...
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