|ds|= dx Pds10a(a)P0102IX(b)Figure 30.3(Example 30.1) (a) A thin,straight wire carrying a current I. The magnetic field at point P due to the current ineach element ds of the wire is out of thepage, so the net field at point P is also outof the page. (b) The angles 0₁ and ₂ usedfor determining the net field. EXAMPLE 30.1 Magnetic Field Surrounding a Thin, Straight ConductorConsider a thin, straight wire carrying a constant current I and placed alongthe x axis as shown in Figure 30.3. Determine the magnitude and direction ofthe magnetic field at point P due to this current.

We need to find the magnetic field at point P due to the current-carrying conductor as shown in the…

Answered: Consider a thin, straight wire carrying…

Similar questions

Two conductors are perpendicular to each other and carry electric currents I1 and I2. Take I1 = 5.00 A; I2 = 6.00 A, x = 3.00 m and y = 4.00 m. 1. Calculate the magnitude of the induced magnetic field at point P with the coordinates (x, y) due to I1. 2. The direction of the magnetic field at point P due to I1 is 3. Calculate the magnitude of the induced magnetic field at point P with the coordinates (x, y) due to I2. 4. The direction of the magnetic field at point P due to I2 is 5. Calculate the magnitude of the resultant induced magnetic field at point P with the coordinates (x, y) due to both conductors. 6. The direction of the magnetic field at point P due to I2 is
Figure (a) shows an element of length ds = 1.26 um in a very long straight wire carrying current. The current in that element sets up a differential magnetic field aB at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 3.6 cm from the element, as a function of angle between the wire and a straight line to the point. The vertical scale is set by dB = 60.0 pT. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance 3.6 cm from the wire? Number i Units dB (pT) dB₂ 0 μT (a) π/2 9 (rad) (b) Wire 2
A conducting bar of length ℓ moves to the right on two frictionless rails as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 0.330 T. Assume R = 8.70 Ω and ℓ = 0.390 m. A vertical bar and two parallel horizontal rails lie in the plane of the page, in a region of uniform magnetic field, vector Bin, pointing into the page. The parallel rails run from left to right, with one a distance ℓ above the other. The left ends of the rails are connected by a vertical wire containing a resistor R. The vertical bar lies across the rails to the right of the wire. The bar moves to the right with velocity vector v. (a) At what constant speed should the bar move to produce an 8.60-mA current in the resistor? m/s(b) What is the direction of the induced current? clockwisecounterclockwise into the pageout of the page (c) At what rate is energy delivered to the resistor? mW(d) Explain the origin of the energy being delivered to the resistor.
A conducting cylinder has radius ?a and volume current density J1=κr in the direction of the axis of the cylinder where κ is known. It is coaxial with a conducting cylindrical shell which has inner radius b and outer radius c. Suppose we have already determined that the magnetic field outside both cylinders is zero. If the outer cylinder has a current density of J2=αr, find α. Find the magnetic field in each possible region B(r<a) = B(a<r<b) = B(b<r<c) =
(a) A conducting loop in the shape of a square of edge length ℓ = 0.460 m carries a current I = 8.00 A as in the figure above. Calculate the magnitude and direction of the magnetic field at the center of the square. magnitude µT 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? magnitude µT direction
A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure shows half of this toroid, allowing us to see its cross section. If R >> r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately
. A cylindrical solenoid has a length of 10 cm and a radius of 1 cm. It is tightly wound with 100 turns of wire. The axis of the solenoid is aligned with the z-axis, and the center of the solenoid is at the origin. The current flowing through the solenoid is 1.5 A. What is the magnetic field at the following points of interest? B, Tesla Point of interest x=0, y=0, z=2 cm x=0, y=0, z=200 cm x=0, y=2 cm, z=0 cm سا
Two wires, parallel to a z axis and a distance 4.60 m apart, carry equal currents 3.61 A in opposite directions, as shown in the figure. A circular cylinder of radius 1.15 m and length 8.27 m has its axis on the z axis, midway between the wires. Use Gauss' law for magnetism to find the net outward magnetic flux through the half of the cylindrical surface above the x axis. (Hint: Find the flux through the portion of the xz plane that lies within the cylinder.)
Four long, parallel conductors carry equal currents of I = 4.17 A. The figure shown below is an end view of the conductors. The direction of the current is into the page at points A and B (indicated by the crosses) and out of the page at C and D (indicated by the dots). Calculate the magnitude and direction of the magnetic field at point P, located at the center of the square with edge of length 0.200 m. 23.7 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. µT direction downward A (x 10.200 m B(x 0.200 m

Consider a thin, straight wire carrying a constant current I and placed along the x axis as shown in Figure 30.3. Determine the magnitude and direction of the magnetic field at point P due to this current.