A 3.0-cm-diameter, 14-turn coil of wire, located at z = 0 in the xy-plane, carries a...

A 3.0-cm-diameter, 14-turn coil of wire, located at z = 0 in the xy-plane, carries a current of 7.5 A. A 2.0-mm-diameter conducting loop with 2.0× 10^−4 Ω resistance is also in the xy-plane at the center of the coil. At t = 0 s, the loop begins to move along the z-axis with a constant speed of 75 m/s.

What is the induced current in the conducting loop at t = 200 μs? The diameter of the conducting loop is much smaller than that of the coil, so you can assume that the magnetic field through the loop is everywhere the on-axis field of the coil.

Solutions

Expert Solution

Here we apply formula for magnetic field of circular coil at its axis and definition of magnetic flux as well as Faraday's law of electromagnetic induction.

genius_generous answered 1 week ago

Next > < Previous

Related Solutions

An 1200-turn coil of wire that is 2.4 cm in diameter is in a magnetic field...

An 1200-turn coil of wire that is 2.4 cm in diameter is in a magnetic field that drops from 0.12 T to 0 TT in 10 ms . The axis of the coil is parallel to the field. part A) What is the emf of the coil? Express your answer in volts.

A 210 turn flat coil of wire 25.0 cm in diameter acts as an antenna for...

A 210 turn flat coil of wire 25.0 cm in diameter acts as an antenna for FM radio at a frequency of 100 MHz. The Magnetic field of the incoming electromagnetic wave is perpendicular to the coil and has a maximum strength of 9.30*10^-13 T. What power is incident on the coil? What average emf is induced in the coil over one-fourth of a cycle? If the radio receiver has an inductance of 2.30 microH, what capacitance must it have...

A 40-turn coil has a diameter of 11 cm. The coil is placed in a spatially...

A 40-turn coil has a diameter of 11 cm. The coil is placed in a spatially uniform magnetic field of magnitude 0.40 T so that the face of the coil and the magnetic field are perpendicular. Find the magnitude of the emf induced in the coil (in V) if the magnetic field is reduced to zero uniformly in the following times. (a) 0.30 s V (b) 3.0 s V (c) 65 s V

A 410-turn solenoid, 21 cm long, has a diameter of 4.0 cm . A 12-turn coil...

A 410-turn solenoid, 21 cm long, has a diameter of 4.0 cm . A 12-turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases uniformly from 0 to 5.0 A in 0.51 s , what will be the induced emf in the short coil during this time?

A 450-turn solenoid, 24 cm long, has a diameter of 2.2 cm . A 10-turn coil...

A 450-turn solenoid, 24 cm long, has a diameter of 2.2 cm . A 10-turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases uniformly from 0 to 2.9 A in 0.57 s , what will be the induced emf in the short coil during this time? Please explain each step. Thanks!

A long, straight wire lies on a horizontal table in the xy-plane and carries a current...

A long, straight wire lies on a horizontal table in the xy-plane and carries a current of 2.50 microA in the positive x-direction along the x-axis. A proton is traveling in the negative x-direction at speed 3.1 x 104 m/s a distance d above the wire. a) If you consider the moving proton as a "current", in what direction is the magnetic field produced by the moving proton at the location of the long straight wire? b) In what direction...

An 80 cm by 80 cm square loop of wire lies in the xy-plane and has...

An 80 cm by 80 cm square loop of wire lies in the xy-plane and has a resistance of 0.2 Ω. It sits in a time-dependent uniform magnetic field of [0.6 sin (3π t)k] T. What is the largest value that the induced current takes on?

A four-turn circular wire coil of radius 0.550 m lies in a plane perpendicular to a...

A four-turn circular wire coil of radius 0.550 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.355 T. If the wire is reshaped from a four-turn circle to a two-turn circle in 0.128 s (while remaining in the same plane), what is the average induced emf in the wire during this time?

A 0.500 mm diameter copper wire makes up a 136 turns, 7.60 cm diameter coil. There...

A 0.500 mm diameter copper wire makes up a 136 turns, 7.60 cm diameter coil. There is a magnetic field parallel to the axis of the coil. If the induced current in the coil is 2.80 A, what is the rate of change of the magnetic field? a) 0.0839 T/s b) 3.63×10-6 T/s c) 12.8 T/s d) 1.74×103 T/s

A 45 turn, 2.9 cm diameter coil is inside a pulsed magnet that has been off...

A 45 turn, 2.9 cm diameter coil is inside a pulsed magnet that has been off for some time, so the magnet can cool down. The magnet is turned on, and the magnetic field increases as B(t) = Bmax [1 − e−3.1 t ], where t is in seconds and Bmax = 31.9 T. The field is perpendicular to the plane of the coil. What is the magnitude of the EMF induced in the coil at t = 0.403 s...

Subjects