1. Consider a closed loop of wire of two semi-circles of different radii (R and 2R) centered on a common point P and connected by straight wires with current i flowing as shown. Use an appropriate combination of the Biot-Savart Law dB = Hoi ds x f 47 r2 superposition, and symmetry to find an expression for B at point P as indicated. Note: You must correctly support each step and explain exactly what assumptions you are making.
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- Instructions1. In the three cases, use the average of the two angles ( = (+) + () =2), the averageof the two currents ( I = I(+) + I() =2), and Eqs. (1) and (2), and calculate coilÖeld and the earth ís horizontal component of magnetic Öeld, B(earth) H [ Tesla ].2. Based on the three previous calculations, what is your experimental determination ofthe horizontal component of the earthís magnetic Öeld, B(earth) H [ Gauss ]?3. Take the accepted value of the earthís horizontal component of magnetic Öeld in southFlorida to be 0:25 Gauss and calculate the percent error in your answer.Assume that the circuit in Figure 5(a) is now placed in a uniform magnetic field under test. The inductor L2 in Figure 5(a) is now replaced by a Hall element shown in Figure 5(b). The depth of the Hall element is d, and its Hall coefficient is Ry. How can we determine the magnitude B of the magnetic field with a voltage meter? Write down the experimental procedure and show your derivation. lell L1 R1 ►R2 L2 メ メ Figure 5 (a) Figure 5(b) lellCalculate the magnetic flux through a square of length 1.9 cm, if the magnetic field is 2.5x10-5 T and the loop is oriented at an angle of 40.00 to the magnetic field. Submit your answer in exponential form with correct number of significant digits. You are required to show your work in the file you submit.
- A conducting rectangular loop of mass M, resistance R, and dimensions a x b is allowed to fall from rest through a uniform magnetic field which is perpendicular to the plane of the loop. The loop accelerates until it reaches a terminal speed (before the upper end enters the magnetic field). If a = 2.1 m, B = 3.8 T, R = 79 Ω, and M = 0.2 kg, what is the terminal speed? To continue please enter your result in units of m/s. Round your answer to 1 decimal place.Two long wires, one of which has a semicircular bend of radius R and center P, are positioned as shown below. If both wires carry a current I, how far apart must their parallel sections be so that the total magnetic field at P is zero? Express a in terms of R. Does the current in the straight wire flow up or down? Explain. The infinite, straight wire shown below carries a current I1. The rectangular loop, whose long sides are parallel to the wire, carries a current I2. What are the magnitude and direction of the total magnetic force on the rectangular loop due to the magnetic field of the long wire?Figure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q. The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r<a, a<r<b, and r>b.
- Don't use chatgptConsider the diagram below. One wire is aligned with the x-axis and carries current I1 = 1.0 A. Another wire carries current l2 = 2.0 A out of the page at point (0,1) as shown. P(3, 1) What is the magnitude of the B-field at point P? Express your answer to the nearest nT.(Answer all three questions in this page according to the description below.) Two lined conductors are connected by a resistor R = 30SN, and separated by L = 5 m. A moving conductor of mass m slides on the conductors at a constant speed v, which produces a current I = 4 %3D A. The conductors are placed in a B = 6 T magnetic field out of the page. In what direction does the current flow through the moving conductor when the bar is sliding in the direction as shown in the figure? R O a. To the left. b. To the right. From the previous question, calculate the speed at which the bar is moving. О а. 40 m/s. O b. 4 m/s. О с. 50 m/s. O d. 5 m/s. From the previous question, calculate the magnitude and direction of magnetic force on the bar. а. 120N down the page. b. 120N dn page. the O c. 50N down the page. O d. 50N up the page.