A rod of length L has a charge per unit length λ. The rod rotates around...

A rod of length L has a charge per unit length λ. The rod rotates around its center at angular frequency ω. Using the dipole approximation, find the power radiated by the rotating rod.

Expert Solution

solution

genius_generous answered 2 years ago

A slender rod with length L has a mass per unit length that varies with distance...

A slender rod with length L has a mass per unit length that varies with distance from the left end, where ? = 0, according to ??/?? = ??, where ? has units of kg/m^2 a. Calculate the total mass M of the rod in terms of ? and L. b. Use the equation ? = ∫ ?=?? to calculate the moment of inertia of the rod for an axis at the left end, perpendicular to the rod. Express your...

A line of charge (with charge per unit length given by λ) extends from (0,0,0) along...

A line of charge (with charge per unit length given by λ) extends from (0,0,0) along the x axis to infinity. Answer the following 2 questions about the electric field at the point (x,y,z) = (0,a,0). A correct integral expression for the y component of the electric field at this point is given by which of the following? In each case the integral has limits 0 and ∞. λ/(4πε0)∫dx a/(a2 + x2)3/2 k λ/(4πε0)∫dx a/(a2 + x2)3/2 j λ/(4πε0)∫dx a/(a2...

A rod of length 22.00 cm has linear density (mass per length) given by λ =...

A rod of length 22.00 cm has linear density (mass per length) given by λ = 50.0 + 16.0x where x is the distance from one end, and λ is measured in grams/meter. (a) What is its mass? _______________g (b) How far from the x = 0 end is its center of mass? ________________m

A wire containing a charge of λ Coulombs per unit length is embedded along the axis...

A wire containing a charge of λ Coulombs per unit length is embedded along the axis of a cylinder of dielectric material. There is no free charge inside the dielectric. The composition of the dielectric is non-uniform, such that its permittivity is a function of the distance from the central axis, i.e. ε = ε(r). (a) Find the displacement field, D as a function of distance from the central axis of the wire, r. (b) if the electric field strength,...

Given is the rod of length L with the linear charge of density ?=?/? . The...

Given is the rod of length L with the linear charge of density ?=?/? . The rod lies on the x axis with its midpoint at the origin. Find the electric field vector on y axis resulting from such continuous system of charge at distance y from the origin. Use this result to obtain the expression for electric field at distance y from the infinitely long wire.

A solid dielectric cylinder of length L and radius R has a uniform charge per unit...

A solid dielectric cylinder of length L and radius R has a uniform charge per unit volume ρ. Derive a mathematical expression for the electric field E ! at a point on the axis of the cylinder, a distance z above the center of the cylinder, and outside the cylinder, i.e., for z > L/2. {Simplify and express your answer in terms of the given parameters and fundamental constants.

A horizontal insulating rod, of length L, has a uniform charge density of theta on its...

A horizontal insulating rod, of length L, has a uniform charge density of theta on its right half and of negative theta on its left half. Find the net force on a test charge of magnitude q placed to the right of the rod, on the axis of the rod, a distance x from the center of the rod (where x > L=2).

A charge per unit length λ = +6.00 μC/m is uniformly distributed along the positive y-axis...

A charge per unit length λ = +6.00 μC/m is uniformly distributed along the positive y-axis from y = 0 to y = +a = +0.400 m. A charge per unit length λ = -6.00 μC/m, is uniformly distributed along the negative y-axis from y = 0 to y = –a = -0.400 m. What is the magnitude of the electric field at a point on the x-axis a distance x = 0.271 m from the origin?

A thin copper rod has a mass per unit length of 0.1 kg/m. What is the...

A thin copper rod has a mass per unit length of 0.1 kg/m. What is the minimum current in the rod that would allow it to levitate above the ground in a magnetic field of magnitude 0.5 T? (g = 10.0 m/s2) 2.9 A 2.5 A 2.2 A 2.0 A 1.8 A

A slender rod with a length of 0.280 m rotates with an angular speed of 8.00...

A slender rod with a length of 0.280 m rotates with an angular speed of 8.00 rad/s about an axis through one end and perpendicular to the rod. The plane of rotation of the rod is perpendicular to a uniform magnetic field with a magnitude of 0.620 T . 1)What is the induced emf in the rod? E= V 2)What is the potential difference between its ends? V= 3)Suppose instead the rod rotates at 8.00 rad/srad/s about an axis through...

Question