A rectangular loop of wire is immersed in a non-uniform and time-varying magnetic field. The magnitude...

A rectangular loop of wire is immersed in a non-uniform and time-varying magnetic field. The magnitude of the field is given by B = 4t²x² , where t is the time in seconds and x is one dimension of the loop. The direction of the field is always perpendicular to the plane of the loop. The loop extends from x = 0 to x = 3.0 m and from y = 0 to y = 2.0 m. What is the magnitude of the induced emf in the loop at t = 0.10 s?

(a) 12 V

(b) 14 V

(d) 18 V

(e) 20 V

The answer is (b), I just do not understand how to solve this problem. Thanks!

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field...

A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field that has an initial value of 3.8 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 T/s. (a) What emf is induced in this loop? (b) If the loop has a resistance of 0.600O, find the current induced in the loop.

A circular wire loop of radius 1.4 cm is placed in a magnetic field of magnitude...

A circular wire loop of radius 1.4 cm is placed in a magnetic field of magnitude 2.3 T. If the magnetic field goes to zero in a time of 5 s, what is the magnitude of the current induced in the loop? The wire has a diameter of 2 mm, and the resistivity of copper is 1.7 x 10-8 Ohm-m.

3.12. A rectangular coil of wire is suspended in a uniform radial magnetic field of induction...

3.12. A rectangular coil of wire is suspended in a uniform radial magnetic field of induction 0.05 T, the field lines being horizontal. The coil consists of 400 turns of wire each of height 2 cm and width 1 cm. If a current of 1 mA is passed through the coil, calculate:- (a) the force acting on unit length of the wire in one of the vertical sides of the coil; (b) the total force on one vertical side of...

The figure below displays a circular loop of nickel wire in a uniform magnetic field pointing...

The figure below displays a circular loop of nickel 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 0.210 s to do so. What is the magnitude of the average induced emf in the loop (in mV)...

A circular conducting loop is held fixed in a uniform magnetic field that varies in time...

A circular conducting loop is held fixed in a uniform magnetic field that varies in time according to B(t) = B exp(-at) where t is in s, a is in s^-1 and B is the field strength in T at t = 0. At t = 0, the emf induced in the loop is 0.0614 V. At t = 2.74 s, the emf is 0.0197V. Find a.

A flat coil of wire is placed in a uniform magnetic field that is in the...

A flat coil of wire is placed in a uniform magnetic field that is in the y direction. (i) The magnetic flux through the coil is maximum if the coil is (a) in the xy plane(b) in either the xy or the yz plane (c) in the xz plane (d) in any orientation, because it is constant. (ii) For what orientation is the flux zero? Choose from the same possibilities.

A loop of wire carries a current. The resulting magnetic field __________. points toward the loop...

A loop of wire carries a current. The resulting magnetic field __________. points toward the loop at all points points away from the loop at all points is similar to that of a bar magnet in the plane of the loop is similar to that of a bar magnet perpendicular to the plane of the loop

A rectangular coil with N turns and area A is place in a uniform magnetic field...

A rectangular coil with N turns and area A is place in a uniform magnetic field directed into y-direction. (a) What amount of emf is induced in the coil if the coil doesn’t move or rotate? . Let’s say the coil rotates about the z-axis through its center at a constant angular velocity LaTeX: \omegaω. (b) What would be total magnetic flux through the coil as a function of LaTeX: \thetaθ ? (LaTeX: \thetaθ is the angle between the directions...

An electron moves in a circular path perpendicular to a uniform magnetic field with a magnitude...

An electron moves in a circular path perpendicular to a uniform magnetic field with a magnitude of 2.14 mT. If the speed of the electron is 1.48 107 m/s, determine the following. (a) the radius of the circular path ............ cm (b) the time interval required to complete one revolution ............ s

A 123 turn circular coil of radius 2.27 cm is immersed in a uniform magnetic field...

A 123 turn circular coil of radius 2.27 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.167 s , the magnetic field strength increases from 54.5 mT to 94.1 mT . Find the magnitude of the average emf avg induced in the coil during this time interval, in millivolts.

Subjects