Question

In: Physics

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.

Expert Solution

Magnetic flux through the loop = where N = no. of turns

=

Here is the unit vector which is equal to as the loop lies in the xy plane.

Therefore, magnetic flux =

=

_{^{Now, induced emf}}

Induced current

Ampere

We were unable to transcribe this image

20((2.3cos400tc + 0.36 sin500tý + 2.1cos256t2). (II X 0.22) 2)

5,27 cos2567

We were unable to transcribe this image

genius_generous answered 2 years ago

A circular conducting loop of radius 25.0 cm is located in a region of homogeneous magnetic...

A circular conducting loop of radius 25.0 cm is located in a region of homogeneous magnetic field of magnitude 0.300 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 283 Ω. The magnetic field is now increased at a constant rate by a factor of 2.80 in 19.0s. Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing. Tries 0/20 Calculate the magnitude of...

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 20-turn circular coil of radius 4.20 cm and resistance 1.00 Ω is placed in a magnetic field directed perpendicular to the plane of the coil.

A 20-turn circular coil of radius 4.20 cm and resistance 1.00 Ω is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time according to the expression B = 0.010 0t + 0.040 0t2, where B is in teslas and t is in seconds. Calculate the induced emf in the coil att = 5.40 s.

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?...

circular coil consists of 100 turns and has a radius of 20 cm. It is placed...

circular coil consists of 100 turns and has a radius of 20 cm. It is placed in a region of space in which there is a magnetic field of 0.5 T. If the coil is initially perpendicular to the magnetic field, find the magnitude of the emf induced if in 0.2 sec: a) the coil rotates 90 ° b) the coil rotates 180 ° c) The field is reduced to zero

A small circular coil with a radius of 1.00 cm has 20 turns and carries a...

A small circular coil with a radius of 1.00 cm has 20 turns and carries a current. A magnetic field probe is located somewhere along the coil's central axis, much farther from the coil's center than the coil's radius. A. The probe indicates that the magnetic field points down the axis, towards the center of the coil. Looking down the axis towards the coil, the current must be flowing which way? (clockwise or counterclockwise) B. At a distance of 3.0...

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...

A circular conducting loop with radius 2.70 cm is placed in a uniform magnetic field of...

A circular conducting loop with radius 2.70 cm is placed in a uniform magnetic field of 0.680 T with the plane of the loop perpendicular to the magnetic field, as shown. The loop is rotated 180° about the axis in 0.242 s. 1.What is the direction of the induced current flow as the loop begins to rotate? 2.What is the average induced emf in the loop during this rotation?

A circular coil of wire with radius 4 cm and 20 turns is placed in a...

A circular coil of wire with radius 4 cm and 20 turns is placed in a uniform magnetic field of magnitude 0.3 T. The magnetic field is parallel to the area vector; i.e. perpendicular to the plane of the coil. a) What is the magnetic flux through the coil? b) The magnetic field is decreased to 0 T in 0.1 s. What is the magnitude of the emf induced in the coil during this time interval? c) If the coil...

A flat circular loop having six turns and radius 9.0 cm is placed on a horizontal...

A flat circular loop having six turns and radius 9.0 cm is placed on a horizontal surface. The resistance of the wire is 25 Ohms. A 9V battery is attached to the wire, allowing for the flow of electrons. a) What is the magnitude and direction of the magnetic field? Assume the horizontal surface is defined by the xy – plane b) If the wire shorts out (causing the current to stop flowing) in 50ms, what is the induced emf?