A conducting rail shaped like you see in the picture has a resistance R = 3.40 Q between points (1) and (2). The circuit is completed by a movable rod. The rod moves toward the left at constant velocity v = 1.20 m/s. All the circuit is inside a uniform, constant magnetic field that is entering the plane of the rail like shown in my picture. B = 10.0 T. The length of the rod is 15.0 cm. (Neglect forces of friction and gravity). Determine the magnitude of induced current in the circuit. Write the units in your answer. What is the direction of the induced current in the resistor R? Write True, or False in the following blank. The direction is from (1) to (2)
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- A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 36.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.290 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.) В LA long solenoid has 78 turns/cm and carries current i. An electron moves within the solenoid in a circle of radius 3.13 cm perpendicular to the solenoid axis. The speed of the electron is 0.0359c (c = speed of light, equal to 2.998 × 10° m/s). Find the current i in the solenoid. Number i UnitsA rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 50.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.230 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.) L
- A straight wire carries a current. What can be said about the resulting magnetic field? The magnetic field is along the wire in the same direction as the current and is stronger nearest the wire. The magnetic field is along the wire in the opposite direction as the current and is stronger nearest the wire. The magnetic field is in a helical pattern around the wire and is of uniform strength along the direction that the helix spirals around the wire. The magnetic field is in a circular pattern around the wire and is stronger nearest the wire.A metal rod (mass m = 0.10 kg, resistance R = 2.0 2) is lying on top of two conducting rails that are separated by 1.6 m. The rails are located in a uniform magnetic field B = 0.15 T, which is perpendicular to the plane of the rails, as shown below. a. Determine the force (magnitude and direction) acting on the metal bar at the moment when a 12.0 V battery is connected to the rails. Assume that the resistance of the rails and connecting wires is negligible. Ignore the friction between the rod and the rails. b. The metal rod moves with an acceleration until it reaches a constant terminal speed v. Explain why. Determine the terminal speed v. Conducting rails 90* 1.6mA v-shaped metal rod completes a circuit while sliding without friction on a pair of rails in a uniform magnetic field. The rod is placed symmetrically between the rails, i.e. its vertex is right in the middle between the rails. The angle between the arms of the "v" is 132.45 degrees. B is uniform sliding v-shaped rod The mass of the rod is 382g. The resistor has a value of 2.09 ohm. The magnetic field has a strength of 6.40T and the distance between the rails is 1.25m. What is the force (in Newtons) pulling the rail downwards, when it moves downwards with a constant velocity 7.28 m/s? (Note that the magnetic field created by the current in the circuit is small compared to the external field and can be neglected.)
- A circular coil enclosing an area of 120 cm² is made of 190 turns of copper wire (shown in the figure below). The wire making up the coil has no resistance; the ends of the wire are connected across a 9.00- resistor to form a closed circuit. Initially, a 1.60-T uniform magnetic field points perpendicularly upward through the plane of the coil. The direction of the field then reverses so that the final magnetic field has a magnitude of 1.60 T and points downward through the coil. If the time interval required for the field to reverse directions is 0.500 s, what is the average current in the coil during that time? A RThe figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is R = 5.40 02, and a 2.50-T magnetic field is directed perpendicularly downward, into the page. Let = 1.20 m. R x M xxxxx x x xxxxx x x x x xxxxxx x x xxxx x x x *→ x xxxxxx xxxxxx XAX X *F 30 x x x app (a) Calculate the applied force required to move the bar to the right at a constant speed of 1.90 m/s. N (to the right) (b) At what rate is energy delivered to the resistor? WAn electron enters a region of space containing a uniform 2.93 x 10 T magnetic field. Its speed is 179 m/s and it enters perpendicularly to the field. Under these conditions, the electron undergoes circular motion. Find the radius r of the electron's path and the frequency f of the motion. r = Hz f%3D
- A rod with resistance R lies across frictionless conducting rails in a constant uniform magnetic field B, pointing into the paper as shown below. Assume the rails have negligible resistance. The magnitude of the force that must be applied by a person to pull the rod to the right at constant speed v is: BLv B² L²v/ R No force (zero Newton) BLv(x/ R) B?L2v(x/ R)The figure below shows a zero-resistance rod sliding to the left with speed v = 37.0 m/s on two zero-resistance rails separated by a distance L = 0.752 m. The rails are connected by a R = 93.2 Ω resistor. Suppose the entire system is in a uniform magnetic field B. (a) In what direction should the magnetic field point (i.e. into the page or out of the page). (b) What must be its magnitude B in order to produce a clockwise current of I = 0.274 A in the resistor?A conducting loop is in the shape of a square of side ℓ. Current I flows clockwise through the loop. A conducting loop in the shape of a square of edge length ℓ = 480m carries a current I = 10.4 A as in the figure above. Calculate the magnitude and direction of the magnetic field at the center of the square. If this conductor is reshaped to form a circular loop and carries the same current, what is the value (magnitude and direction) of the magnetic field at the center?