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A 2 cm by 4 cm rectangular loop of wire travels from the left, entering and
passing through a region of 0.5 Tesla magnetic field as shown below (out of
paper), traveling with a constant velocity of 3 m/s. Find the magnitude of emf
induced and direction of any induced current in the loop when the loop is (i) at A,
partially entering the magnetic field region (ii) at B, completely inside the
magnetic field, and (iii) at C, partially leaving the magnetic field region.
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- B,D,E,FA loop of wire sits in a uniform magnetic field, everywhere pointing toward you. Due to a changing magnetic flux through the loop, an induced current flows in the wire, clockwise as shown. The area of the loop is 0.300 m^2 , and the magnetic field initially has magnitude 0.300 T. Suppose that, over a time period of 2.30 s, the magnetic field changes from its initial value, producing an average induced voltage of 0.020 V. What is the final value of the magnetic field after this time period?Consider a conducting loop placed on a horizontal plane in a region of uniform vertical magnetic field directed downward. If the magnitude of the magnetic field begins to decrease, what will be the direction of the induced current in the loop, as viewed from above? O Counterclockwise, so that the magnetic field of the loop is downward. O Counterclockwise, so that the magnetic field of the loop is upward. O Clockwise, so that the magnetic field of the loop is upward. O There will be no induced current, so that the loop does not have a magnetic moment. O Clockwise, so that the magnetic field of the loop is downward.
- Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field of strength 0.2 T, which is directly into the page. The rod is pulled to the right at a constant speed of 6 m/s by a force F. The only significant resistance in the circuit comes from the 2-Q resistor shown. (a) What is the voltage induced in the circuit? (b) What is the induced current? (c) What is the magnitude of F? (d) What are the power output of F and the power dissipated in the resistor? 2.0 2 4.0 cm Hint a. Voltage of is induced. b. An induced current of mA flows in Select an answer v direction. c. Force F of magnitude mN is needed to maintain the constant speed. d. Force F does work at the rate of mW; power of mW is dissipated in the resistor.A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius r and with resistance R. The magnitude of the field varies with time according to B = B0e-t/T, where B0and T are constants (T is time constant). (a) Find an expresssion for the emf induced in the loop as a function of time. (b) If the loop lies in the plane of the page and the magnetic field initially points out of the page, then what is the magnitude and direction of the induced current in the loop, i.e., is it clockwise, counter-clockwise, or is there no current induced in the loop? Include a diagram for this situation.A single-turn circular loop of wire that has a radius of 2.0 cm lies in the plane perpendicular to a spatially uniform magnetic field. During a 0.12-s time interval, the magnitude of the field increases uniformly from 0.2 T to 0.5 T. 1)Determine the magnitude of the emf induced in the loop during the time interval. (Express your answer to two significant figures.)