The rotating loop in an AC generator is a square 10.0 cm on a side. It...

The rotating loop in an AC generator is a square 10.0 cm on a side. It is rotated at 55.0 Hz in a uniform field of 0.800 T. Calculate the following quantities as functions of time t, where t is in seconds.

(a) the flux through the loop
Click here to preview your answer.

mT·m²
(b) the emf induced in the loop
Click here to preview your answer.

V
(c) the current induced in the loop for a loop resistance of 2.00 Ω
Click here to preview your answer.

A
(d) the power delivered to the loop
Click here to preview your answer.

W
(e) the torque that must be exerted to rotate the loop
Click here to preview your answer.

mN·m

Expert Solution

genius_generous answered 2 years ago

A 10.0-cm side square loop is fashioned from a single 4.00-m long, 100-g wire. One side...

A 10.0-cm side square loop is fashioned from a single 4.00-m long, 100-g wire. One side of the loop is attached to a horizontal, frictionless axle. The loop is suspended in a region with a uniform 10.0-mT magnetic field oriented vertically. (a) What angle does the loop make with the vertical when it carries a current of 3.40 A? (b) What magnetic torque acts on the loop?

what is the name of the rotating electromagnet in the ac generator?

A square loop of wired with side length 2 cm is in the plane of the...

A square loop of wired with side length 2 cm is in the plane of the page. At time t= 0, a 9 T magnetic field is directed into the page. The field changes to 4 T directed into the page in 0.25 seconds. What is the magnetic flux through the loop of wire at time, t = 0? What is the magnetic flux through the loop of wire 0.25 seconds later?What is the emf induced in the loop of...

A square current loop 5.5 cm on each side carries a 470 mA current. The loop...

A square current loop 5.5 cm on each side carries a 470 mA current. The loop is in a 0.70 T uniform magnetic field. The axis of the loop, perpendicular to the plane of the loop, is 30 degrees away from the field direction. What is the magnitude of the torque on the current loop? 2 sig fig.

A square single loop of wire 4.00 cm on a side with 875 turns lies in...

A square single loop of wire 4.00 cm on a side with 875 turns lies in the xy-plane. The loop is in a uniform magnetic field that changes at a steady rate from B⃗ =(0.200T)i^+(0.150T)k^B→=(0.200T)i^+(0.150T)k^ at t = 0 to B⃗ =(0.300T)i^+(−0.200T)k^ B→=(0.300T)i^+(−0.200T)k^ at t=3.00s. At the time t=2.00s, a) find the magnitude of the induced emf in the coil. b) Find the direction of the induced current in the coil as seen from a point on the +z-axis.

A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω...

A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω is inside a 1.00m long solenoid with 1000 windings such that the plane of the loop is perpendicular to the solenoid’s magnetic field. The solenoid initially carries a current I = 6.0 A, which is turned down to zero evenly over a period of 12.0 s. If the solenoid’s initial magnetic field is out of the page in the figure, what is the magnitude...

A square conducting loop of side length a = 24 cm sits in three-dimensional space, such...

A square conducting loop of side length a = 24 cm sits in three-dimensional space, such that its area vector points along the vector -i - 4j + k. A uniform magnetic field of strength B = 0.04 mT points along the positive z-axis. A current of I = 0.3 mA is run through the loop. Find the net force on the loop. Find the torque on the loop. (Note it should be of the form (Tx , Ty ,...

In a model AC generator, a 497 turn rectangular coil 14.0 cm by 23 cm rotates...

In a model AC generator, a 497 turn rectangular coil 14.0 cm by 23 cm rotates at 115 rev/min in a uniform magnetic field of 0.58 T. (a) What is the maximum emf induced in the coil? V (b) What is the instantaneous value of the emf in the coil at t = (?/39) s? Assume that the emf is zero at t = 0. V (c) What is the smallest value of t for which the emf will have...

A line of charge is bent into a square with a side of 2 cm and...

A line of charge is bent into a square with a side of 2 cm and a charge density of 3 microC/cm. Using Coulomb's law, determine the electric field at all points along the axis of the square (the line through the center of the square and perpendicular to it).

Figure is an edge-on view of a 14 cm diameter circular loop rotating in a uniform...

Figure is an edge-on view of a 14 cm diameter circular loop rotating in a uniform 3.8×10-2 T magnetic field. I solved part a by using φ= B A cos θ = Bπr2 cosθ = (3.8 x 10-2) π (.07)2cos (0 degrees)= 5.8 x 10-4 Wb and got correct answer, but having trouble finding the right answer for part B. I used same equation for part B and used cos (30)= got wrong answer. Is there another equation for finding the answer with the...

Question