A current I= 3 A is passed through a wire. A second wire of length L = 1 m is moving with velocity v= 210.7 m s¹ at a distance d=1 cm perpendicular to the magnetic field generated by the first wire (see sketch below). Calculate the current in the circuit that includes the second wire and a stationary piece of wire (green in the sketch below). Take the resistance in the circuit to be 10 Q2 (Ohm). Consider the magnetic field B to be constant over the range of motion of the second wire (i.e. d > 1). For the permeability of vacuum take μ₁ = 1.3x106 NA-2. Provide your answer in milliamperes (mA). Enter your answer in the box below. Answer: Choose... + Wire 1 Wire 2 V Wire loop
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- The density of charge carriers far copper is 8.471028 electrons per cubic meter. What will be the Hall voltage reading from a probe made up of 3cm2cm1cm ( (LWT) ) copper plate when a current of 1.5 A is passed through it in a magnetic field of 2.5 T perpendicular to the 3cm2cm .A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?As seen in Figure 2, a rod with minimal resistance rotates at an angular velocity of @= 5.0 rad/s across a circular area with a radius of a = 0.2 m. A second rod with low resistance is immobile. Two rods are interconnected in the middle of a circle. A magnetic field with a strength of B = 0.3 T permeates the paper. r = 0.40 m/m is the resistance per unit length of the circular arc. Determine the induced emf and current direction. Indicate the induced current and its direction on the diagram. X X X-X X X x xx xx x X X B xx x X XXX x x X X X X X X X Fig 2. Problem 2
- A circuit is made with a resistor of resistance 25 ohms and a movable bar with length 15 cm moving to the left with speed 8 m/s. The whole circuit is in a magnetic field B = 1.5 T (into page). Use this set up to answer the following questions. What is the current through the resistor in amps? Answer to 3 decimal places.Question: V Figure 1. A rectangular sample of semiconductor is in a magnetic field B, oriented approximately into the page, as shown. The sample is connected to an ammeter, voltmeter and a voltage source. The schematic shows a circuit involving a sample of semiconductor, whose cross-section is L by w. The sketch is not to scale and the electrodes attached to the sample are not shown. A uniform magnetic field B is applied in the direction indicated by the crosses (roughly, into the page). Each charge carrier has a charge q and the density of charge carriers, measured in ions per cubic metre, is n. Part 1) Use the definition of electric current to give an expression for the average speed of the charge carriers when the ammeter registers a current i. vd = Part 2) Give an expression for the magnitude of the magnetic force on a charge carrier. Your answer should be in terms of ¿, not v. F= Part 3) The magnetic force in part 2 produces a lateral displacement in the charge carriers, and the…A single loop of wire has a radius of 0.9 meters and a resistance of 18 Ω. A magnetic field pointing out of the screen changes from 2.6T to 7.9T in 0.2s. Which current flows through the wire? answer in milliAmpere (mA), and keep three significant digits. positive will be a counterclockwise current and negative will be a clockwise current.
- Tutorial Exercise In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.495 cm thick is positioned along an east-west direction. Assume n = 8.46 × 1028 electrons/m³ and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the -12 conductor results in a Hall voltage of 4.37 x 10 V, what is the magnitude of the Earth's magnetic field at this location? Part 1 of 3 - Conceptualize From this Table of Approximate Magnetic Field Magnitudes, the magnitude of the Earth's magnetic field is about 50 μT. We expect a result with this order of magnitude. Part 2 of 3 - Categorize We will find the magnitude of the magnetic field from the equation for the Hall effect voltage. Part 3 of 3 - Analyze Hall effect voltage is given by the following. IB nqt' AVH where I is the current, n is the volume density of electrons, B is the magnitude of the magnetic field, and t is the thickness of the copper bar. Solving…Given that there are two wires right next to one another with the left ones current going downwards and the rights ones current going upwards. If we know that the field of the current of the left wire at the current on the right is 5.5 x 10-7 T, then what is the current in the left wire? Assume that the current on the right is 0 A and the currents are separated by 1.4 m.Let's call the current on the left I1 and the current on the right I2. What current in I1 (consider both magnitude and direction) is needed if it is to be repelled from I2 (0.4 A) with a magnetic force per length of 4 x 10-7 N/m if they are separated by 1.2 m. Assume that upward is positive and downward is negative.A circuit is made with a resistor of resistance 25 ohms and a movable bar with length 15 cm moving to the left with speed 8 m/s. The whole circuit is in a magnetic field B = 1.5 T (into page). Use this set up to answer the following questions. What is the magnetic force on the bar in Newtons? Answer to 4 decimal places.
- A current is running through a 1.80m wire. The resistance is 0.75 ohms and the voltage is 12.0V. If the force going through the wire is 125N, what is the magnetic field strength created by the wire?Shown in the figure below is a rectangle of wire immersed in a magnetic field. The rectangle has length L = 2 meters, width w = 2 meters, and a resistance of R = 7.97 Ω. The magnetic field varies with time according to the equation:B(t) = 5t2 + 2t5As a result of the varying field, a voltage and current will be established in the loop.Answer all of the following: What is the FORMULA for the rate of change of magnetic field with time, dB dt = What is the FORMULA for the rate of change of magnetic flux with time, dΦB dt = What is the voltage in the circuit at t=1.1 seconds? Volts What is the current in the circuit at this same time? Amps NOTE: Make all formulas POSITIVE (field and flux). Make all values POSITIVE (voltage and current). Format your equations as atn + btm where a,b,n,m are numerical values. Example: 12t2 + 72t3An electron is sent through a mass spectrometersimilar to the diagram shown below. The electron startsfrom restandis accelerated East byan electric potential difference of 120 V. It then passes into a uniform magnetic field of magnitude 0.12T [North]. The electron follows a curve path, changing direction by 180° before it strikes a sensor.What is the displacement of the electron from the time it enters the magnetic field to the time it has changed direction by180°?(note: diagram below shows positive chargesentering the mass spectrometer)