. A metallic rod of length I and resistance R is rotated with a frequency v, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius I, about an axis passing through the centre and perpendicular to the plane of the ring. A constant and uniform magnetic field B parallel to the axis is present everywhere. Derive the expression for the induced emf and the current in the rod.
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- A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight wire carrying a current I as shown in Figure. Find the magnitude of the emf generated between the ends of the rod.A 2.00 cm diameter, 14.0 cm long solenoid has 60.0 turns and has a 1.00 cm diameter loop inside it. The loop has a resistance of 0.400 Ω. What is the current in the loop at 0.00600 s? The the maximum and the minimum current in the graph have the same magnitude which is 3.60 A.A conducting rod with length L = 18.6 cm is being pulled along a long rotated U-shape conductor, with negligible resistance. If the magnetic fileld has a constant value of 35.6 mT and the constant velocity at which the vertical rod is being pulled is 8.28 m/s
- The figure shows an end view of a single-turn square loop of metal wire in the center of and coaxial with a very long solenoid with a circular cross section. The solenoid is 15.0 cm long, has a radius r = 3.00 cm, and consists of 120 turns of wire. The length of each side of the square loop is / = 1.50 cm. The current in the solenoid decreases from 4.00 A to zero in 0.40 s. What is the magnitude of the average induced emf (in uv) in the square loop over this time? noliill O a. 2.3 كلية العلوo O b. 4.5 O.6.3 O d. 1.5 O e. 3.0 Scanned with CamScannerA coil has an area of 100 cm2 with 282 turns connected across a 5.00 Q resistor to form a closed circuit as in the figure. Initially, a 1.4 T uniform magnetic field points upward through the plane of the coil. The direction of the field then reverses so that the final magnetic field has a magnitude of 1.4T and points downward through the coil. If the time interval required for the field to reverse directions is 0.100 s, what is the average current (in units of A) in the coil during that time? В R Select one: A. 21.71 В. 7.90 OC. 17.77 D. 15.79 E. 3.95A coil has an area of 100 cm2 with 190 turns connected across a 5.00 Q resistor to form a closed circuit as in the figure. Initially, a 2 T uniform magnetic field points upward through the plane of the coil. The direction of the field then reverses so that the final magnetic field has a magnitude of 2 T and points downward through the coil. If the time interval required for the field to reverse directions is 0.100 s, what is the average current (in units of A) in the coil during that time? on B Select one: O A. 15.20 O B. 17.10 OC. 3.80 OD. 7.60 O E. 20.90 Activate Windows Go to Settings to activete Wdows Next page ENG 9:44 PM рage UK 5/24/2021
- Mindy, a medical device engineer, is designing an apparatus to monitor the breathing of a patient. The apparatus consists of a stretchable loop of conductive material wrapped in a small band around the patient's chest. A constant uniform external magnetic field is produced by a nearby solenoid. As the patient inhales, his chest expands, stretching the chest band. The resulting increase in the area of the loop causes an emf to be induced in the loop. By measuring the induced emf, a device user can estimate the patient's breathing rate. Mindy needs the apparatus to be able to detect a change in area as small as 5.50 cm? occuring over a time period of 1.50 s. If the minimum emf that can be reliably detected is 2.00 x 10-4 V, what is the magnitude of the minimum external magnetic field that would be needed from the solenoid? magnitude of minimum external magnetic field: TA power line carries a current I = 100 sin(380t), where I is in amps and t is in seconds. A clever engineering student wants to steal power by inducing emf in a rectangular loop of copper wire as shown below. If the student wants to induce a maximum emf in the loop equal to 1.7 V, what should be the length L of the loop? Assume that the magnetic field produced by the power line is uniform inside of the rectangular loo and equal to the magnetic field at the center of the loop. 5 mi To equipment I 0.5 mA piece of insulated wire is shaped into a figure eight as shown in Figure P.SI.20. For simplicity, model the two halves of the figure eight as circles. The radius of the upper circle is 5.00 cm and that of the lower circle is 9.00 cm. The wire has a uniform resistance per unit length of 3.00 Ω/m. A uniform magnetic Held is applied perpendicular to theplane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2.00 T/s. Find (a) the magnitude and (b) the direction of the induced current in the wire.
- Problem 7: Part (a) Express the current induced in the loop, I, in terms of ε and R. I = ______ Part (b) Calculate the value of I, in amperes. I = ______A solenoid ring with N = 3 loops is immersed in a uniform time-varying magnetic field (shown in the figure) whose strength is given by B = (1/4) sin(t/2) T, where t is in seconds. If the radius of the loop is r = 4m, what is the maximum magnitude of the EMF in the loop? At what time is the magnitude of the EMF at half its max value?An electric field of 140 x10-6 V/m is induced within the loop of long solenoid with cross sectional area of 3.09 cm2. The radius of the loop is 4.61 cm. Calculate the number of turns if the current in the winding is increasing at a rate of 85 A/s. Final answer should be expressed in two (2) decimal places. Round up or down accordingly. For the final answer, please write/include the unit, express you answer in "Turns" For example: 5 Turns DO NOT answer in exponential form.