A 82-turn circular coil (radius = 26 cm) with a total resistance of 6.10 is placed in a uniform magnetic field directed perpendicular to the plane of the coil. The magnitude of this field varies with time according to B =A sin(wt), where the amplitude is A = 95 µT and the angular frequency is w = 83 m rad/s. What is the magnitude of the current (in mA) induced in the coil at t = 31 ms? Number i Units

The square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side. When it rotates at 3600 rpm, its peak output voltage is 120 V. (a) Wliat is the frequency' of the output voltage? (b) What is the strength of the magnetic field in which the coil is turning?

A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?

A coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A. (a) What is the energy stored in the magnetic field of the coil? (b) What is the energy per second dissipated in the resistance of the coil?

A rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a = 5.00 cm from a long, straight wire carrying current I = 7.00 A in the downward direction (Fig. P32.75). a. What is the magnitude of the magnetic flux through the loop? b. If the current in the wire is increased linearly from 7.00 A to 15.0 A in 0.230 s, what is the magnitude of the induced emf in the loop? c. What is the direction of the current that is induced in the loop during this time interval?

A metal bar of length 25 cm is placed perpendicular to a uniform magnetic field of strength 3 T. (a) Determine the induced emf between the ends of the rod when it is not moving, (b) Determine the emf when the rod is moving perpendicular to its Length and magnetic field with a speed of 50 cm/s.

Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .

A coil of wire consists of 65.0 turns and has an area of 7.9 m2. The magnetic field through the coil, which is oriented parallel to the normal to the area, changes from 4.2 T to 12.9 T in a time of 0.15 s. Find the magnitude (absolute value) of the average induced emf in the coil. in V

A 280-turn rectangular coil with area, A = 0.22 m², and resistance, R = 772, is rotating at a constant rate of 66 rpm in a uniform magnetic field, B = 0.473 T. (a) What is the angular speed of the rotating coil? rads/s W = (b) Calculate the frequency, f, and period, T, of the coil's rotation. Hz and T = f = sec

A circular coil of radius 5.0 cm and resistance 0.20 Ω is placed in a uniform magnetic field perpendicular to the plane of the coil. The magnitude of the field changes with time according to B =50e-0.2tT. What is the magnitude of the current induced in the coil at the time t = 2.0 s? Answer: 2.6 mA