A technician wearing a brass bracelet enclosing area 0.00500 m2 places her hand in a solenoid whose magnetic field is 4.30T directed perpendicular to the plane of the bracelet. The electrical resistance around the circumference of the bracelet is 0.0200 N. An unexpected power failure causes the field to drop to 1.29 T in a time of 21.0 ms. (a) Find the current induced in the bracelet. A (b) Find the power (P) delivered to the bracelet. (Note: As this problem implies, you should not wear any metal objects when working in regions of strong magnetic fields.) w
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- A 140-mH inductor and a 5.50-0 resistor are connected with a switch to a 6.00-V battery as shown in the figure below. (a) After the switch is first thrown to a (connecting the battery), what time interval elapses before the current reaches 220 mA? ms (b) What is the current in the inductor 10.0 s after the switch is closed? A (c) Now the switch is quickly thrown from a to b. What time interval elapses before the current in the inductor falls to 160 mA? msA bicycle generator rotates at 1,975 rad/s, producing a 17.5 V peak emf. It has a 46-turn, 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.76 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle? (Enter the magnitude in m/s.) m/s (b) What is the maximum emf (in V) of the generator when the bicycle moves at 10.0 m/s, noting that it was 17.5 V under the original conditions? V (c) If the sophisticated geherator can vary its own magnetic field, what field strength (in T) will it need at 5.00 m/s to produce a 9.00 V maximum emf?A 9.00 - V battery is connected to a coil which has a self-inductance of 125 mH and a resistance of 5.00 Ω. At what rate is energy being stored in the magnetic field of the coil when the current in the circuit is 0.500 Amps? Hint: Apply conservation of energy.
- An 820 turn wire coil of resistance 30.00 is placed around a 12500 turn solenoid, 5.60 cm long, as shown in the figure below. Both coil and solenoid have cross-sectional areas of 1.40 x 10 m². 60.0 V 14.00 w 12 500 turns Re 820 turns (a) How long does it take the solenoid current to reach 63.2% of its maximum value? (No Response) ms (b) Determine the average back emf caused by the self-inductance of the solenoid during this interval. (No Response) V (c) Determine the average rate of change in magnetic flux through the coll during this interval. (No Response) V (d) Determine the magnitude of the average induced current in the coil. (No Response) AThe figure represents a moving rod of length 3 cm in a magnetic field B= 4T What is the current in the circuit represented in the figure, if the speed of the rod is 12 m/s and the resistance of the wire is 9 ohms? X X x x x R X X X X x X X X X X X X O I =122.45 mA O I =160.00 mA O I = 11.00 mA O I = 44.90 mA O I = 81.34 mAConsider the RL direct current circuit shown. The circuit contains R = 4.0 Ω, L = 10 mH, & ε = 12 V. The circuit is charging. (a) Determine the time constant for the circuit? (b) What is the maximum current in the circuit? (c) What is the current one time constant (t = τ )? (d) When the current is 0.5 A, what is the strength of the magnetic field in the solenoid, with n = N/ℓ = 319x103 turns/m. ( T×m/A)
- QUESTION 1 https://per.physics.illinois.edu/per/IE/ie.pl?phys112/ie/08/IE_movingcoil X X X X XX X W X X X X XX X X X X X X X X X X X X X X X Lg At t=0, a rectangular coil of resistance R = 2 ohms and dimensions w = 3 cm and L = 8 cm enters a region of constant magnetic field B = 1.6 T directed into the screen as shown. The length of the region containing the magnetic field is LB = 15 cm. The coil is observed to move at constant vėlocity v = 5 cm/s. What is the force required at time t = 0.8 sec to maintain this velocity? Answer in uN (u = micro = EE-06)A bicycle generator rotates at 1,800 rad/s, producing a 15.5 V peak emf. It has a 45-turn, 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.48 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle? (Enter the magnitude in m/s.) m/s (b) What is the maximum emf (in V) of the generator when the bicycle moves at 10.0 m/s, noting that it was 15.5 V under the original conditions? V (c) If the sophisticated generator can vary its own magnetic field, what field strength (in T) will it need at 5.00 m/s to produce a 9.00 V maximum emf?It is desired to construct a solenoid that will have a resistance of 4.15 2 (at 20°C) and produce a magnetic field of 4.00 x 10-2 T at its center when it carries a current of 5.00 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 x 10-8 0 • m.) (a) the number of turns of wire needed to build the solenoid turns (b) the length the solenoid should have cm