4) A coil of wire 0.25 m long and having 400 turns carries a current of 15 A. (a) What is the magnitude of the magnetic field strength H? (b) Compute the flux density B if the coil is in a vacuum. (c) Compute the flux density inside a bar of chromium that is positioned within the coil. The susceptibility for chromium is 3.13 × 10* (d) Compute the magnitude of the magnetization M.
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- The Hall effect can be used to determine the density of mobile electrons in a conductor. A thin strip of the material being investigated is immersed in a magnetic field and oriented so that its surface is perpendicular to the field. In a particular measurement, the magnetic field strength was 0.735 T, the strip was 0.101 mm thick, the current along the strip was 2.95 A, and the Hall voltage between the strip's edges was 2.95 mV. Find the density n of mobile electrons in the material. The elementary charge is 1.602 x 10-19 C. 1.56 x104 n 3= -3 IncorrectA strip of copper 220 um thick and 4.70 mm wide is placed in a uniform magnetic field of magnitude B = 0.96 T, that is perpendicular to the strip. A currenti- 25 Ais then sent through the strip such that a Hall potential difference Vappears across the width. Calculate V. (The number of charge carriers per unit volume for copper is 8.47 x 102 electrons/m) Number Units4n J dl x RB : Problem 1: An electric current I = 0.45 A is flowing in an infinitely long wire. Randomized Variables A I= 0.45 A I Part (a) Write an equation for the magnetic field vector B generated by the current at an arbitrary point in terms of I, the length element dl, and the vector for the distance R from dl to the point. dl x R Rx dl Hol SRx dl B = B = - В — R3 R3 R3 Ho. Hol Hol B = - R3 dl x R Hol B = 47 dl x R 4) ai x RB = - R3 R3 Submit Hint Feedback I give up! IL Part (b) If the distance from point A to the wire is a as in the figure, write an equation for the magnitude of the magnetic field [B| generated by the current at A in terms of I and a. Part (c) If a = 0.035 m, calculate the numerical value of B in tesla.
- A strip of copper is placed in a uniform magnetic field of magnitude 3.5 T. The Hall electric field is measured to be 2.0 x 10-3 V/m. (a) What is the drift speed of the conduction electrons m/s)? m/s (b) Assuming that n = 8.0 x 1028 electrons per cubic meter and that the cross-sectional area of the strip is 4.4 x 10-6 m², calculate the current in the strip (in A). (in m³/C)? nq (c) What is the Hall coefficient m3/cThe cross-sectional dimensions of the copper strip shown are 2.0 cm by 2.0 mm. The strip carries a current of 120 A, and it is placed in a magnetic field of magnitude B = 1.4 T. What are the value (in V) and polarity of the Hall potential in the copper strip? (Assume the charge carrier density of copper is 8.0 x 1028 electrons/m³). B 2.0 cm X 2.0 mm value polarity The ---Select--- of the strip is at a higher potential.The magnetic field in a region of space is given by B-8 +8. A coil of N turns is oriented so that its cross-sectional area is in the x direction: A-A1. A small bulb is connected across the ends of the coil. The total resistance of the coil and the bulb is R. Find an expression for the current through the bulb if By(t) = Bo(t/to) and By-Bo where Bo and to are constants. (Use the following as necessary: A, B, N, R, to, and t. Enter the magnitude.)
- (a) A 0.740-m-long section of cable carrying current to a car starter motor makes an angle of 40° with the Earth's 5.5 x 10-5 T field. What is the current when the wire experiences a force of 7.30 x 10-³ N? Submit Answer Tries 0/5 (b) If you run the wire between the poles of a strong horseshoe magnet, subjecting 4.00 cm of it to a 1.05-T field, what force is exerted on this segment of wire? Submit Answer Tries 0/5The force on a wire is a maximum of 4.38 N when placed between the pole faces of a magnet. The current flows horizontally to the right and the magnetic field is vertical. The wire is observed to "jump" toward the observer when the current is turned on. If the pole faces have a diameter of 12.9 cm, estimate the current in the wire if the field is 0.184 T. If the wire is tipped so that it now makes an angle of 15.1° with the horizontal, what force will it now feel?