In Fig. 4, a long circular pipe with outside radius R = 2.6 cm carries a (uniformly distributed) current i = 8.00 mA into the page. A wire runs parallel to the pipe at a distance of 3R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the net magnetic field at point P has the same magnitude as the net magnetic field at the center of the pipe but is in the opposite direction. Wire O- P.- х X. Pipe Fig. 4

In Fig. 4, a long circular pipe with outside radius R = 2.6 cm carries a (uniformly distributed) current i = 8.00 mA into the page. A wire runs parallel to the pipe at a distance of 3R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the net magnetic field at point P has the same magnitude as the net magnetic field at the center of the pipe but is in the opposite direction. Wire O- P.- х X. Pipe Fig. 4

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A cylindrical conductor with a radius R carries a current I. The current is uniformly distributed over the cross-sectional area of the conductor. Find the magnetic field as a function of the distance r from the conductor axis for both inside (rR) the conductor.
The figure below shows two current segments. The lower segment carries current i = 0.68 A and includes a circular arc with radius 6.8 cm, angle 180°, and center point P. The upper segment carries current iz = 2i1 and includes a circular arc with radius 4.2 cm, angle 120°, and the same center point P. What are the (a) magnitude and (b) direction (into or otherwise of the page) of the net magnetic field B for the indicated current directions? What are the (c) magnitude and (d) direction (into or otherwise of the page) of B if iq is reversed? (a) Number i Units (b) (c) Number i Units (d) > >
Consider the long (L> b) cylindrical shell of inner radius a R and outer radius b = 3R as shown in the figure. The current I = 5 A is uniformly distributed over the cross section of the wire. Here R= 1.2 cm. What is the magnitude of the magnetic field, in units of microtesla, at distance 2R? (µo = 4n x 10 7T m/A)
A long solenoid with 10.0 turns/cm and a radius of 10.1 cm carries a current of 29.8 mA. A current of 4.51 A exists in a straight conductor located along the central axis of the solenoid. (a) At what radial distance from the axis in centimeters will the direction of the resulting magnetic field be at 33.8° to the axial direction? (b) What is the magnitude of the magnetic field there? (a) Number 1.61 (b) Number 6.73e-5 Units Units cm T
A long straight wire of a radius of 10.0 cm carries a steady current 40.7 A that is uniformly distributed through the cross-section of the wire. Calculate the magnetic field ( in units of µT) at a distance of 7.5 cm from the center of the wire?
A long, straight wire going through the origin is carrying a current of 2.80 A in the positive z-direction (see the figure below). HINT At a point a distance r = 2.70 m from the origin on the positive x-axis, find the magnitude and direction of the magnetic field. (a) magnitude of the magnetic field (in T) T (b) direction of the magnetic field O +x-direction O -x-direction O +y-direction O-y-direction O +z-direction O -z-direction A At a point the same distance from the origin on the negative y-axis, find the magnitude and direction of the magnetic field. (c) magnitude of the magnetic field (in T) T (d) direction of the magnetic field O +x-direction O -x-direction O +y-direction O -y-direction O +z-direction
(a) A conducting loop in the shape of a square of edge length ℓ = 0.380 m carries a current I = 10.6 A as in the figure above. Calculate the magnitude and direction of the magnetic field at the center of the square.find magnitude ut and direction.b) If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center? find magnitude and direction. magnitude µT direction
A very long wire carrying a current of I = 2.00 A has a short segment Al = 4.00 mm of its length along the y-axis and centered on the origin. The current flows in the +y-direction through the segment. Find the contribution AB of the short segment to the total magnetic field B of the wire at the specified locations. If the direction is negative, indicate it by entering the value of AB as a negative number. What is AB on the x-axis at x = 2.50 m? %3D in the direction. AB = T What is AB on the z-axis at z = 4.50 m? in the direction. AB = T
The current density J (current per unit area) in a solid cylinder of radius R varies with distance r from its axis as J= kr where k is a constant. Find the magnetic field at a point P where (a) r> R and (b) r < R.
A segment of wire centered at the origin (x = y = z = 0) is 2.00 mm in length and carries a current of 6.00 A in the +y-direction. You measure the magnetic field due to this segment at the point x = 3.00 m, y = 4.00 m, z = 0. Find (a) the unit vector from the wire segment to this point and (b) the magnetic field at this point.
A long solenoid with 12.5 turns/cm and a radius of 9.52 cm carries a current of 25.2 mA. A current of 11.1 A exists in a straight conductor located along the central axis of the solenoid. (a) At what radial distance from the axis in centimeters will the direction of the resulting magnetic field be at 50.2° to the axial direction? (b) What is the magnitude of the magnetic field there? (a) Number i Units (b) Number i Units
A current I = 18 A is directed along the positive x-axis and perpendicular to a magnetic field. A magnetic force per unit length of 0.17 N/m acts on the conductor in the negative y-direction. Calculate the magnitude and direction of the magnetic field in the region through which the current passes.