A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.16 m. The normal to the plane of the loop is parallel to a constant magnetic field (p=0") of magnitude 0.74 T. What is the change AD in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) AD= 0.0296 Wb 4 I
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- You are given a hollow copper cylinder with inner radius a and outer radius 3a. The cylinder's length is 200a and its electrical resistance to current flowing down its length is R. To test its suitability for use in a circuit, you connect the ends of the cylinder to a voltage source, causing a current I to flow down the length of the cylinder. The current is spread uniformly over the cylinder's cross section. You are interested in knowing the strength of the magnetic field that the current produces within the solid part of the cylinder, at a radius 2a from the cylinder axis. But since it's not easy to insert a magnetic-field probe into the solid metal, you decide instead to measure the field at a point outside the cylinder where the field should be as strong as at radius 2a. Part A At what distance from the axis of the cylinder should you place the probe?A long solenoid with n = 45 turns per centimeter and a radius of R = 19 cm carries a current of i = 35 mA. Find the magnetic field in the solenoid. The magnetci field, B0 = Units . If a straight conductor is positioned along the axis of the solenoid and carries a current of 99 A, what is the magnitude of the net magnetic field at the distance R/2 from the axis of the solenoid? The net magnetic field, BNet = Units .A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.19 m. The normal to the plane of the loop is parallel to a constant magnetic field (p = 0°) of magnitude 0.60 T. What is the change AO in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) ΔΦ = i x X میرا www I
- An eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (see figure). The coil lies in the plane of the page and carries a clockwise current of 5.55 A. If the coil is in a uniform magnetic field of 2.09 x 10-4 T directed toward the left of the page, what is the magnitude of the torque on the coil? Hint: The area of an ellipse is A = лab, where a and b are, respectively, the semimajor and semiminor axes of the ellipse. N•m 18 I 30.0 cm T 40.0 cmAn electron moves in a circle of radius r = 6.19 × 10-11 m with a speed 2.47 x 106 m/s. Treat the circular path as a current loop with a constant current equal to the ratio of the electron's charge magnitude to the period of the motion. If the circle lies in a uniform magnetic field of magnitude B = 6.04 mT, what is the maximum possible magnitude of the torque produced on the loop by the field? Number i UnitsAt a particular point on Earth, the magnitude of the Earth's magnetic field is 2.50 x 10-5 T. At this point, the field through a small square loop is essentially uniform. The area of the loop is 30.0 cm². What is the magnitude of the magnetic flux (in T. m²) through the loop when the loop is at the following orientations? (a) the magnetic field is perpendicular to the plane of the loop T.m² (b) the magnetic field and the normal to the plane of the loop are at a 22.0° angle T.m² (c) the magnetic field and the normal to the plane of the loop are at a 90.0° angle T.m²
- If a rectangular loop of wire is placed between the two poles poles of a magnet, with the dimensions w = 0.30 m and L = 1.2 m, and carries a current | = 3.0 A ( clockwise). The magnetic field due to the magnet is uniform and of magnitude 0.90 T. The loop rotates in the magnetic field. What is the magnitude of maximum torque acting on the wire due to the magnetic field? B WC N L A D O 0.40 N · m O 0.83 N · m O 0.48 N · m O 0.97 N · m O 0.88 N · mIn each of the figures below, a uniform magnetic field B points in the +x-direction. The magnitude of the field is 1.75 T. In each figure, a square loop, shown edge-on, with sides of length = 0.380 m, is oriented within the magnetic field as shown. In the left figure, the loop is oriented vertically, perpendicular to the magnetic field. In the middle figure, it is tilted such that the plane of the loop makes a 60.0° angle with the magnetic field. In the right figure, the loop is oriented horizontally, parallel to the magnetic field. y (b) 60.0° from the magnetic field Wb B What is the magnetic flux (in Wb) through the loop in each of the three cases shown? (a) perpendicular to the magnetic field Wb (c) parallel to the magnetic field Wb B 60.0°A circular conductor with r=4cm is in uniform magnetic field B=5.0T that is pointing into the page. There is a clockwise current of 7.0A in the loop. What is the magnitude of torque on the loop along the y-axis which passes through the diameter of the loop?
- An eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (see figure). The coil lies in the plane of the page and has a 5.72-A current flowing clockwise around it. If the coil is in a uniform magnetic field of 1.99 × 10-4 T directed toward the left of the page, what is the magnitude torque on the coil? Hint: The area of an ellipse is A = nab, where a and b are, respectively, the semimajor and semiminor axes of the ellipse. 40.0 cm |- 30.0 cm-|A conducting bar of length L = 0.40 m rotates in a counterclockwise direction with a constant angular speed of +2.0 rad/s about a pivot P at one end, as shown. A uniform magnetic field (magnitude = 7.5 T) is directed out of the paper. What is the potential difference, Vp- VA? AL B P. -L/2 -L/2- O a. 0.30 V O b. -0.30 V О с. - 1.20 V O d. 0.90 V О е. -0.90 VA loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.12 m. The normal to the plane of the loop is parallel to a constant magnetic field (p = 0°) of magnitude 0.73 T. What is the change AO in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) ΔΦ =