The loop in figure is being pushed into the 0.80 T magnetic field at 70 m/s. The resistance of the loop is 0.20 2. What are the direction and the magnitude of the current in the loop? Assume that x = 5.0 cm ● ● B ● ● · · ● ● ● · • • · · · · x ● ● ·
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- The loop shown below has a radius of 12 cm and is placed in a magnetic field oriented into the page, as shown. The resistance of the loop is 5 ohms. The magnitude of the magnetic field may be modeled as B(t )=3−2t . Determine the magnitude and direction of the current in the loop at time t = 3 seconds.A singly charged positive ion has a mass of 5 kg. After being accelerated through a potential difference of 170 V, the ion enters a magnetic field of 1.5 T, in a direction perpendicular to the field. Calculate the radius of the path of the ion in the field.(q = 1.6 × 10-19 C) 0.6872 m 0.0069 m 0.0117 m 0.0103 mIn a physics laboratory experiment, a coil with 250 turns enclosing an area of 10.5 cm^3 is rotated during the time interval 3.10 x 10^-2 s from a position in which it’s plane is perpendicular to Earth’s magnetic field to one in which it’s plane is parallel to the field. The magnitude of Earth’s magnetic field at the lab location is 7.00 x 10^-5 T. Part A: What is the magnitude of the magnetic flux through the coil before it is rotated? Part B: What is the magnitude of the magnetic flux through the coil after it is rotated? Part C: What is the magnitude of the average emf induced in the coil?
- A square coil of wire of side 2.35 cm is placed in a uniform magnetic field of magnitude 2.50 T directed into the page as in the figure shown below. The coil has 25.0 turns and a resistance of 0.780 . If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. x xx x X X X xxx x xx x X Rotation axis (a) the magnitude of the average emf induced in the coil during this rotation mV (b) the average current induced in the coil during this rotation MAA device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in (Figure 1). A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.85 mΩ resistance and a mass of 4.4 g . Ignore the resistance of the rails. The power supply is switched on. What is the magnitude of the force on the wire? What will be the wire's speed after it has slid a distance of 8.0 cm ?Two meter-long parallel wires each have a linear mass density of 30 g/m and carry the same current of 0.50 mA. The are hung from the same support bar by strings of length .080 m so that the wires run parallel to the ground. The current causes the wires to repel from each other, so they hang with an angle θ = 20◦ between the supporting strings of the two wires. Are the currents in the same or opposite directions? What is the magnitude of the current?
- A doctor monitors the flow rate of blood using an electromagnetic flowmeter. Electrodes A and Bmake contact with the outer surface of the blood vessel which has a diameter of 3 milimeters. For a magnetic field of 0.02T, an emf of 1.2 x 104V is measured between the electrodes. Calculate the speed of the blood in m/s. (The blood flow is out of the page.) Artery To voltmeter Blood Electrodes B flow Answer:Multiple-Concept Example 2 discusses the concepts that are used in this problem. In the drawing the magnetic field has a magnitude of 1.97 T, the rod has a length of 0.866 m, and the hand keeps the rod moving to the right at a constant speed of 2.02 m/s. If the current in the circuit is 0.0294 A, what is the average power being delivered to the circuit by the hand? Number i X X X X X X X X X X X X hand X X Units X X X X hand X X XA proton travelling at a high velocity enters a 0.45 T magnetic field and travels in a circular path of radius 0.28 m as shown. A B=0.45 T X X X X X X X X X X X B What is the kinetic energy of the proton? And which path will the proton follow? A or B? x X X X X
- Multiple-Concept Example 2 discusses the concepts that are used in this problem. In the drawing the magnetic field has a magnitude of 1.93 T, the rod has a length of 0.843 m, and the hand keeps the rod moving to the right at a constant speed of 2.31 m/s. If the current in the circuit is 0.0478 A, what is the average power being delivered to the circuit by the hand? Number i X X X X X X X X X hand X X Units X X x X hand X XA device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in (Figure 1). A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.85 mΩ resistance and a mass of 4.4 g . Ignore the resistance of the rails. The power supply is switched on. What is the current?You've decided to make a magnetic projectile launcher for your science project. An aluminum bar of length l = 5.19 cm slides along metal rails through a magnetic field B = 0.664 T. The switch closes at t = 0 s , while the bar is at rest, and a battery of emf = 16.50 V starts a current flowing around the loop. The battery had internal resistance, r = 0.139 Ω. The resistance of rails and the bar are effectively zero. What is the terminal speed (in m/s) of the bar?