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.

Solutions

Expert Solution

genius_generous answered 6 months ago

Next > < Previous

Related Solutions

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 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.

1. A rod of uniform density and weight W=120N has length L=1.00 m and is supported...

1. A rod of uniform density and weight W=120N has length L=1.00 m and is supported at two points, under the 10 cm point and under the 70 cm point. The support at 10 cm exerts a force NL on the rod and the support at 70 cm exerts a force NR on the rod, both forces being in the vertical direction. (a) Use the conditions of static equilibrium to find the values of NL and NR. (b) In order...

We have a metal rod of length L. The rod is on the x-axis extending from...

We have a metal rod of length L. The rod is on the x-axis extending from 0 to L. We select a point X on the rod randomly and uniformly and cut the rod at X. This gives two smaller rods of lengths X and L − X. We select the longer piece (if the two pieces are of equal length we select one of them) and cut it again randomly and uniformly to get three pieces. What is the...

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...

As shown in the figure, a conducting rod with a linear mass density of 0.0395 kg/m...

As shown in the figure, a conducting rod with a linear mass density of 0.0395 kg/m is suspended by two flexible wires of negligible mass in a uniform magnetic field directed into the page. A power supply is used to send a current through the rod such that the tension in the support wires is zero. (a) If the magnitude of the magnetic field is 3.70 T, determine the current in the conducting rod. (b) Determine the direction of the...

In the figure, a conducting rod of length L = 29.0 cm moves in a magnetic...

In the figure, a conducting rod of length L = 29.0 cm moves in a magnetic field B⃗ of magnitude 0.390 T directed into the plane of the figure. The rod moves with speed v = 6.00 m/s in the direction shown. When the charges in the rod are in equilibrium, what is the magnitude E of the electric field within the rod? What is the magnitude Vba of the potential difference between the ends of the rod? What is...

A finite rod of length LLL has total charge qqq, distributed uniformly along its length. The...

A finite rod of length LLL has total charge qqq, distributed uniformly along its length. The rod lies on the x -axis and is centered at the origin. Thus one endpoint is located at (−L/2,0)(−L/2,0), and the other is located at (L/2,0)(L/2,0). Define the electric potential to be zero at an infinite distance away from the rod. Throughout this problem, you may use the constant kkk in place of the expression 14πϵ014πϵ0. Part A What is VAVAV_A, the electric potential...

- A charge of 22 nC is uniformly distributed along a straight rod of length 13...

- A charge of 22 nC is uniformly distributed along a straight rod of length 13 m that is bent into a circular arc with a radius of 5.6 m. What is the magnitude of the electric field at the center of curvature of the arc? - How much work is required to turn an electric dipole 180o in a uniform electric field of magnitude 42.2 N/C if p = 3.50 × 10-25 C·m and the initial angle is 62.8o....

Consider a long line of charge with linear charge density lambda = 4 micro C/m and...

Consider a long line of charge with linear charge density lambda = 4 micro C/m and a point charge q = −2 micro C with mass m = 0.1 kg at coordinate 2,3 . The point charge is launched from (2,3) with v= 2000 m/s at an angle of 20° with respect to the x-axis. Find the velocity of the point charge when its x-coordinate is 5.( wire goes to positive infinity Y axis)

Subjects