The figure below shows a piece of insulated wire formed into the shape of a figure eight. You may consider the two loops of the figure eight to be circles, where the upper loop's radius is 3.00 cm and the lower loop's radius is 8.00 cm. The wire has a unifor resistance per unit length of 4.00 Q/m. The wire lies in a plane that is perpendicular to a uniform magnetic field directed into the page, the magnitude of which is increasing at a constant rate of 2.50 T/s. (a) What is the magnitude of the induced current in the wire (in A)? A (b) Find the direction of the induced current in the wire. (Select all that apply.) O clockwise in the upper lop O clockwise in the lower loop
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- Ampere's Law 2. Figure 4 shows a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and a second rubber layer. Suppose the current in the inner conductor is 11 = 1.00 A pointing out of the page and the current in the outer conductor is 12 = 3.00 A pointing in the page. If the distance d = 1.00 mm, determine the magnitude and direction of the magnetic field at (a) point "a", and (b) at point "b". Figura 4The right edge of the circuit in the diagram extends into a 84.8 mT uniform magnetic field. What is the magnitude of the net force (in N) on the circuit? What is the direction of the force?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 0.723 T, the strip was 0.107 mm thick, the current along the strip was 2.83 A, and the Hall voltage between the strip's edges was 2.73 mV. Find the density n of mobile electrons in the material. The elementary charge is 1.602 x 10-1° C. n = -3 m
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