The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r₁ = 3.5 cm and outer radius r2 = 7 cm. A 51-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 0.5 cm, r = 6.5 cm, and T = 8 cm. 12 Hints a. Magnetic field at r = 0.5 cm is 0 b. Magnetic field at r = 6.5 cm is c. Magnetic field at r = 8 cm is T. Additional hint for (a) T. Additional hint for (b) T. Additional hint for (c)

You place a 10cm x 20 cm, rectangular circuit in 4 T magnetic field. This circuit has a battery in it that provides 0.5 A of current. If the orientation of the magnetic field with respect to the normal vector of the rectangle is 30 degrees, what it is the torque experienced by the circuit? a. 2.5 N m b. 2 N m c. 200 N m d. 0.02 N m

Q1. A square loop, 5 cm on a side, is placed within a 3.7 T magnetic field such that the field makes an angle of 60o to the loop. Calculate the magnetic flux through the loop   a. 4.526 Wb       b. 4.256 Wb       c. 45.26 Tm2       d. 46.25 Wb

A rectangular semi- conductor of length 50 mm, width 30 mm and depth 20 mm in the same uniform magnetic field of 12500 Oersteds. It was observed that 12500 Oersteds produces Hall voltage of 0.5 milli Volts. Find the number density of charge carriers. a. 9.72 x 1024 /m³ b. 3.9 x 1024 /m³ 9.72 x 1028 / m³ d. 3.9 x 1028 /m³ C. e. None of the above

1. A student uses a coil of radius 14 cm with 90 windings.a) Calculate the expected slope for a plot of magnetic field vs current in this coil.b) She performs the lab and measures a slope of 4.2  ́ 10-4 T/A. Based on this slope, what valuedoes she calculate for μo ?c) Calculate the percent error between her measured value of μo and the theoretical value.

4. A wire is bent into the shape shown in Figure 4. If a = 20 cm and I = 12 A, calculate the magnetic field at point P. Ans.: 8.26 x 10-5 T, out of page CO a/2 a a/4 P. Figure 4.

A square portion of a circuit is in a region with an homogeneous magnetic field. The length of the sides is L = 10 cm. The current through the circuit is 1.5 Amp. As a result there is a net force of 0.15 N acting on the wires of circuit. What is the value of the magnetic field? AWhat direetion dees the net feree peint? Te the right L

a.) A wire 4 m long has a mass of 224 g. The wire is connected to an emf. What is the minimum current in the wire that would allow it to levitate above the ground in a magnetic field of magnitude0.4 T? Round your answer to 2 decimal places b.) Per previous question, what direction must the current flow?

Draw a magnetic circuit with 2 coils. The 1st coil with 50 turns and the 2nd coil with 150 turns. If coil 1 carry 2 A and coil 2 carry 1 A Find: A. The total Magneto motive force when the coils adding each other and draw the flux direction. B. The total Magneto motive force when the coils opposing each other and draw the flux direction.

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 m2