1. A rectangular loop of wire of length L = 8.0 cm and width s = long wire carrying a current I = 30 A , as shown in the figure. (The loop and the 3.0 cm lies near a very current carrying wire are in the same plane, and the two long edges of the loop are parallel to the wire.) What is the magnetic flux through the loop in units of µWb? Take h = 2.0 cm and µo =47T r10- T.m/A .

75. A circular loop of wire with a diameter of 8.0 cm lies in the zx plane, centered about the origin. A uniform magnetic field of 2,500 G is oriented along the +y direction. What is the magnetic flux through the area of the loop? H.W

The aurora is caused when electrons and protons, moving in the earth’s magnetic field of  ≈5.0×10^−5 T, collide with molecules of the atmosphere and cause them to glow. a.  What is the frequency of the circular orbit for an electron with speed 1.0×10^6 m/s? Assume that the electron moves in a plane perpendicular to the magnetic field. b.  What is the frequency of the circular orbit for a proton with speed 5.0×10^4 m/s?

give answer of a and b.

A. 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.

1. A long, straight wire has a current of I₁ = 35 A going upward. Next to this wire is a rectangular loop of wire with a clockwise current of I₂ = 25 A. One side of the loop is 10 cm from the straight wire, and the other side is 30 cm from the straight wire. a. What is the magnitude and direction of the magnetic field from straight wire, on the left side of the loop? I, c. What is the magnitude and direction of the force on the left side of the loop? Iz Ļ 10 CM 30cm 50cm b. What is the magnitude and direction of the magnetic field from the straight wire, on the right side of the loop?

9. An infinite sheet of current lying in the yz plane carries a surface current of linear density J, (i.e. amps/m). The current is in the positive z direction and J; represents the current per length measured along the y axis. Prove that the magnetic field near the sheet is parallel to the sheet and perpendicular to the current direction, with a magnitude of Ho Js / 2.

Q3. A torus with the dimensions shown in Figure is wound with N = 100 turns of wire, uniformly wound around the torus. The coil thus formed carries a current I =1 A. Calculate the magnetic flux density everywhere in space. The torus has a rectangular cross section and the permeability of the core is µ, [H/m]. Figure OF Q3 HA N