Question

In: Physics

A circular wire loop of radius r = 0.25 m and resistance R = 11.1 Ω...

A circular wire loop of radius r = 0.25 m and resistance R = 11.1 Ω rotates about a shaft through its diameter at a constant rate of f = 5.8 Hz in a uniform B = 0.49-T magnetic field directed perpendicular to the rotation axis. The plane of the loop is perpendicular to the magnetic field at time t = 0.

a) Find the expression for the time-dependent magnetic flux through the loop.

Φ =

b) Find the value of the magnetic flux through the loop, in webers, at time t = 0.121 s.

Φ =

c) Find the time-dependent emf induced in the loop based on the expression you entered in part (a).B.

ε =

d) Calculate the induced emf in the loop, in volts, at time t = 0.121 s.

ε =

e) Find the expression for the induced current in the loop based on the expression you entered in part (c).

I =

f) Find the induced current in the loop, in amperes, at time t = 0.121 s.

I =

Expert Solution

If you got it then, kindly rate the answer positive:)

otherwise if you have any doubt then ask me :)

genius_generous answered 2 years ago

The circle above is a wire loop of radius 0.85 m. It has a resistance of...

The circle above is a wire loop of radius 0.85 m. It has a resistance of 35 Ω. 1) If there is a constant magnetic field of 7.5 T into pointed into the page: a) What is the magnitude of the induced EMF in the loop? What is its direction? (clockwise or counterclockwise) b) What is the magnitude of the current in the loop? What is its direction? (clockwise or counterclockwise) 2)Assume that the magnetic field is initially 7.5 T...

A conducting single-turn circular loop with a total resistance of 7.50 Ω is placed in a...

A conducting single-turn circular loop with a total resistance of 7.50 Ω is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by ΦB = a + bt2 − ct3, where a = 8.00 Wb, b = 15.5 Wb/s−2, and c = 7.50 Wb/s−3. ΦB is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 1.55 s?...

A circular conducting loop with 20 turns and radius of 20 cm lies in the xy-plane in this region and has a resistance of 40 Ω

The magnetic flux density in a region is given as ?=2.3⁡???⁡400?⁡̂?+ 0.36⁡???⁡500?⁡̂?+2.1cos256?⁡?̂ T. A circular conducting loop with 20 turns and radius of 20 cm lies in the xy-plane in this region and has a resistance of 40 Ω. Determine the effective value of the induced current in the loop.

The resistance of the loop in the figure is 0.30 Ω.

The resistance of the loop in the figure is 0.30 Ω. a) Is the magnetic field strength increasing or decreasing? b) At what rate (T/s)?

A circular loop of wire having a radius of 6.0 cm carries a current of 0.14...

A circular loop of wire having a radius of 6.0 cm carries a current of 0.14 A. A unit vector parallel to the dipole moment of the loop is given by 0.40i -0.92j. If the loop is located in a magnetic field given by B = (0.40 T)i + (0.35 T)k, A) find the magnitude of the magnetic dipole moment of the loop. B) Find the i component of the torque on the loop. C) Find the j component of...

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.

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 circular loop of radius 1.79 m is mounted on top of a truck. Initially the...

A circular loop of radius 1.79 m is mounted on top of a truck. Initially the truck is at rest oriented so that a vector normal to the loop points north. At this location, the Earth’s magnetic field has a magnitude of 49.6 μT and a direction of due north, 63° below the horizontal. Over the course of 9.0 seconds, the truck accelerates north, so that at the end of the time interval, the truck is moving at 14.0 m/s...

fred places two circular loops of conducting wire, one large (radius R) and one small (radius...

fred places two circular loops of conducting wire, one large (radius R) and one small (radius r), on a horizontal table such that they are centred at the same point. He arranges the larger loop to carry a constant current I clockwise (when viewed from above). In order to induce a current in the smaller loop, fred then lifts the smaller loop vertically upwards at a constant speed v, without changing its orientation. 1 - Explain why fred is correct...

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?