Q2. The infinitely long cylinder volume ra Figure of Q2
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![Q2. The infinitely long cylinder volume r<a carries a steady electric current of unknown density
J(A/m?) oriented through z direction (J =Jêz) as shown in the figure. There is no current outside of
the cylinder. All space is vacuum. The magnetic flux density vector for r<a is given as
B=êgHoGr³(Tesla). Here, G is a constant.
a) Find J
b) Find B for r>a
Figure of Q2
Ho Ho](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3bce1e8-8847-4344-a86b-d4c99b4bad02%2Fb126f154-9fac-47d2-b532-3b6878a01636%2Fo4cg13_processed.jpeg&w=3840&q=75)
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- A small circular coil of 20 loops of wire having a radius of 1 cm is at rest in the X-y plane (so the normal to the loop points in the +z-direction). A uniform magnetic field of 0.5 T is turned on in the +x-direction. What is the magnetic flux through the loop? a. 7.85 x 10 Tm² b. 1.57 x 10 4 T m² O c. 3.14 x 10 3 T m2 O d. 0 T m2A 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) =N circular loops of conducting wire of radius 3.0 cm carries a current of 10 A. If the magnetic field at the center of the multiple turns of loop is 3.14 x 10-3 T, how many turns of loop are in the conducting coil? a. 15 b. 10 c. 30 d. 20 e. 25
- A very long hollow cylindrical conductor has a current i flowing in it in the direction 2) out of the page. The current density is constant throughout the conductor. The inner radius of this conductor is R1 and the outer radius is R2. a) What is the current density inside the conductor? A Derive the magnetic field (magnitude and direction) R2 b) for radiusr> R2? c) for R1A. What is the current in the current loop? B. What is the current density J in the current loop? C. To decide whether this is a large or a small current density, find the ratio of the current density J in the current loop to the current density of a 8.0 A current in a 1.6- mm diameter wire. Express your answer using two significant figures.The figure below shows two very long straight wires (in cross section) that each carry a current of 4.81 A directly out of the page. Distance d1 = 8.00 m and distance d2 = 6.00 m. What is the magnitude of the net magnetic field at point P, which lies on a perpendicular bisector to the wires?A long cylindrical conductor of radius a has two cylindrical cavities diameter a along its entire length, as shown in figure. An I current is directed out of the page and has a uniform value across the entire cross-section of the conductor. Determine the magnitude and direction of the magnetic field based on μ0, I, r and a at a) point P1 and b) at point P2.A point charge Q moves on the x-axis in the positive direction with a speed of 644 m/s. A point P is on the y-axis at 43 mm. The magnetic field produced at point P, as the charge moves through the origin, is equal to -6.24 µT in the +z direction. When the charge is at x = 53 mm, what is the magnitude of the magnetic field at point P (in μ.)? μT