Question

In: Physics

Consider two infinitely long wires running parallel to the x axis, one along (x, a, 0)...

Consider two infinitely long wires running parallel to the x axis, one along (x, a, 0) the other along (x, −a, 0), for −∞ < x < ∞ and 2a is the separation between the two wires. They carry opposite uniform charge densities +λ and −λ respectively. (a) Find the potential at any point (x, y, z) using the origin at your reference point so that V (0) = 0. (b) Show that the equipotential surfaces are (generically) circular cylinders. Locate the axis and radius of the cylinder corresponding to a given potential V0 .

Solutions

Expert Solution

Let me know if you have any doubt. This solution is based on electric field and electric potential and basic equation of circles.


Related Solutions

Two long parallel wires are placed side by side on a horizontal table. The wires carry...
Two long parallel wires are placed side by side on a horizontal table. The wires carry equal currents in the same direction. Which of the following statements are true? Check all that apply. The magnetic field is a maximum at a point midway between the two wires The magnetic force between the two wires is attractive. The magnetic force between the two wires is repulsive. The magnetic field at a point midway between the two wires is zero. 
Two long, straight, parallel wires are separated by 0.50 m and lie in the X-Y plane....
Two long, straight, parallel wires are separated by 0.50 m and lie in the X-Y plane. Wire “A” has a current of 1.4 A traveling in the -Y direction and wire “B” has a current of 6.3 A flowing in the +Y direction. What is the magnitude of the magnetic field at the midpoint between the two wires? A. 4.5 µT B. 2.5 µT C. 1.2 µT D. 3.9 µT E. 0.98 µT
One long wire carries current 16.0 A to the left along the x axis. A second...
One long wire carries current 16.0 A to the left along the x axis. A second long wire carries current 72.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of ?2.00 µC is moving with a velocity of 150î Mm/s along the line (y = 0.100 m, z = 0). Calculate...
One long wire carries current 32.0 A to the left along the x axis. A second...
One long wire carries current 32.0 A to the left along the x axis. A second long wire carries current 68.0 A to the right along the line (y = 0.280 m, z = 0). a) (5 points) Where in the plane of the two wires is the total magnetic field equal to zero? b) (5 points) A particle with a charge of −2.00 µC is moving with a velocity of 150 î Mm/s along the line (y = 0.100...
One long wire carries current 12.0 A to the left along the x axis. A second...
One long wire carries current 12.0 A to the left along the x axis. A second long wire carries current 80.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? y = ________m (b) A particle with a charge of −2.00 µC is moving with a velocity of 150î Mm/s along the line (y = 0.100 m, z...
One long wire carries current 32.0 A to the left along the x axis. A second...
One long wire carries current 32.0 A to the left along the x axis. A second long wire carries current 58.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of −2.00 µC is moving with a velocity of 150î Mm/s along the line (y = 0.100 m, z = 0). Calculate...
Consider 3 long parallel wires arranged such that they form an equilateral triangle in a plane...
Consider 3 long parallel wires arranged such that they form an equilateral triangle in a plane perpendicular to them. The upper wires carry l 185A and 13SA in the same direction while the lower wire carries lg 370A in opposite direction. Calculate the intensity (magnitude and direction) of the magnetic field at the center of the triangle. For direction specify an angle with respect to any line you want. 1.3
Consider an electron between two grounded conducting parallel plates perpendicular the x axis, and intersecting x...
Consider an electron between two grounded conducting parallel plates perpendicular the x axis, and intersecting x at ±a. A particle with charge q is placed at x = a/2 between the plates. Derive an expression for the magnitude and direction of the force exerted on the particle. Write your answer in terms of the parameters q and a of the problem, and use a computer if necessary to obtain a numerical value for your answer. Computed numerical values should be...
Suppose a particle moves along the x-axis beginning at 0. It moves one integer step to...
Suppose a particle moves along the x-axis beginning at 0. It moves one integer step to the left or right with equal probability. a)What is the pdf of its position after three steps? b)What is the pdf of its position after three steps if the x-axis beginning at 1? c)What is the pdf of its position after two steps? d)What is the pdf of its position after two steps if the x-axis beginning at 1?
The two 10-cm-long parallel wires in the figure are separated by 5.0 mm.
The two 10-cm-long parallel wires in the figure are separated by 5.0 mm. For what value of the resistor R will the force between the two wires be 1.1×10−4 N ?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT