Two generators use the same magnetic field and operate at the same frequency. Each has a single-turn circular coil. One generator has a coil radius of 5.8 cm and a peak emf of 1.8 V. The other generator has a peak emf of 3.9 V. Find the coil radius r of this other generator.

A bicycle generator rotates at 127 rad/s, producing a 15.5 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.66 T field. How many turns are in the coil?

The figure below shows a 117-turn square coil rotating about a vertical axis at at w = 1,460 rev/min. The length of a side of the coil is 20.0 cm. The horizontal component of the Earth's magnetic field at the coil's location is equal to 2.00 x 10-5 T. 20.0 cm 20.0 cm (a) What is the magnitude of the maximum emf (in mV) induced in the coil by the Earth's magnetic field? mV (b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs? The plane of the coil is oriented 45° with respect to the magnetic field. O The plane of the coil is parallel to the magnetic field. The plane of the coil is perpendicular to the magnetic field.

A 75 turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 rad/s in a 1.40 T field, starting with the normal of the plane of the coil perpendicular to the field. Assume that the positive max emf is reached first. a)What (in V) is the peak emf? b) At what time (in s) is the peak emf first reached? c) At what time (in s) is the emf first at its most negative? and d) What is the period (in s) of the AC voltage output?

A square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.1410 - 0.8500 t with B in teslas and t in seconds, what is the total emf in the circuit?

A 227-turn circular coil of radius 24 cm is perpendicular to a uniform magnetic field of 0.55 T. During a 0.75 s time interval, this field increases to 1.7 T. If the resistance of the coil is 11.5 ohm, calculate the average emf and current that flows in the coil during this interval. The average emf, Emf = 47.23 V Units V The average current, i = 5.5 x Units A

A bicycle generator rotates at 1875 rad/s, producing an 18.0 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.60 cm diameter wheel that rolls on the outside rim of the bicycle tire.                  (a) What is the velocity of the bicycle if the generator’s angular velocity is1875 rad/s?                                                                                                        (b) What is the maximum emf of the generator when the bicycle moves at 10.0 m/s, noting that it was 18.0 V under the original conditions?                    (c) If the sophisticated generator can vary its own magnetic field, what field strength will it need at 5.00 m/s to produce a 9.00 V maximum emf?

The figure below displays a circular loop of conducting wire in a uniform magnetic field pointing into the page. The radius of the loop is 10.0 cm and the magnitude of the field is 0.160 T. You grab points A and B and pull them in opposite directions, stretching the loop until its area is nearly zero, taking a time of 0.170 s to do so. What is the magnitude of the average induced emf in the loop (in mV) during this time? * х * X x х A x * * x K mV X x * x. B * * *

A circular coil (670 turns, radius = 0.079 m) is rotating in a uniform magnetic field. At t = 0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.020 s, the normal makes an angle of 45 degrees with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.052 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil.

A 5.00*10^-2 ohm square wire loop 30.0 cm on a side has its plane normal to a uniform magnetic field of magnitude B=4.0 T. If you pull two opposite sides of the loop away from each other, the other two sides automatically draw toward each other reducing the area enclosed by the loop. If the area is reduced to zero in a time of 0.30 s what is the average emf during this time interval? What is the average current during this time interval?