## Faraday S Law of Induction Questions and Answers

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a. Determine the magnetic flux through the rectangular loop of width w and length L due to current I in the wire. b. Suppose the current in wire is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of emf ind

A 0.25 m long copper rod has a constant velocity of 0.40 m/s traveling through a uniform magnetic field. of 0.050 T. The motion of the rod, the copper rod and the magnetic field are all perpendicular to each other. What is the potential difference induced

Figure is an edge on view of a 16 cm diameter circular lop rotating in a uniform B = 5.8 \times 10^{-2} \space T magnetic field. What is the magnetic flux through the loop when \theta is: a. 0^\circ, \\ b. 30^\circ, \\ c. 60^\circ, \\ d. 90^\circ? Expres

Two circular loops lie side by side in the same plane. One is connected to a source that supplies an increasing current, the other is a simple closed ring. a. Is the induced current in the ring in th

A coil made up of insulated copper wire is connected to a galvanometer. What will happen to the deflection of the galvanometer if this coil is moved towards a stationary bar magnet and moved away from

A square loop of side 5 centimeters bring moved towards right at a constant speed of 1 centimeters per second.The front edge enters the 20 centimeters wide magnetic field at t=0. What is the emf induc

A 0.1 m long solenoid has a radius of 0.05 m and 1.5 x 10^4 turns. The current in the solenoid changes at a rate of 6.0 A/s. A conducting loop of radius 0.0200 m is placed at the center of the solenoi

A circular coil has 500 turns and a radius 14 cm. The coil is moved in 0.35 seconds from an area where there is no magnetic field into an area with a magnetic field of strength 6.7 \times 10^{-2}\ T.

A 0.11-m long and 0.11-m wide loop is moved at a constant velocity of 0.65 m/s into a perpendicular constant magnetic field of 0.41 T. Calculate the magnitude of the induced voltage in the loop.

The south pole of a bar magnet is moved toward a short helical coil of wire (solenoid) along the axis of the coil. The coil has 100 turns and the ends of the coil are connected to form a closed circui

An emf is induced in response to a change in the magnetic field inside a loop of wire. Which of the following changes would increase the magnitude of the induced emf? A. reducing the diameter of the

A five-turn circular wire coil of radius 0.425 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.370 T. If the wire is reshaped from a five-turn circle to a three-turn circle

A generator has a square coil consisting of 202 turns. The coil rotates at 75.7 rad/s in a 0.219-T magnetic field. The peak output of the generator is 71.9 V. What is the length of one side of the coi

The plane of a rectangular coil, 3.2 cm \times 9.2 cm, is perpendicular to the direction of a uniform magnetic field B. If the coil has 98 turns and a total resistance of 7.6 \Omega, at what rate must

A man moves his head back and forth between the poles of a powerful magnet. He moves perpendicular to the field at a maximum speed of 150 m/s. If he can taste on his tongue, an electric field of 10 V/

A conducting loop is halfway into a magnetic field. Suppose the magnitude of the magnetic field begins to increase rapidly in strength. What happens to the loop? a) The loop is pushed upward, toward

A conducting loop is halfway into a magnetic field. Suppose the magnetic field begins to increase rapidly in strength. What happens to the loop? a) The loop is pulled to the left into the magnetic fi

Near San Francisco, where the vertically downward component of the earth's magnetic field is 6.8 x 10^{-5} T, a car is traveling forward at 17 m/s. The width of the car is 2.1 m. Find the emf induced

If a magnetic flux passes through a circular coil when its diameter D, what should be its diameter (in terms of D) so that only half as much flux passes through it in the same field? Assume that the m

In this example, we use \Phi =BA cos \phi to solve for the strength of magnetic field. A plane surface with area 4 cm^2 is placed in a uniform magnetic field that is oriented at an angle of 30 ^o to t

An infinite straight wire carries current I_1 = 3.4A in the positive y direction as shown. At time t=0, a conducting wire, aligned with the y direction is located a distance d-60 cm from the y axis an

Two flat surfaces are exposed to a uniform, horizontal magnetic field of magnitude 0.79 T. When viewed edge-on, the first surface is tilted at an angle of 26 deg from the horizontal, and a net magneti

A long straight wire carries a current I. A rectangular wire loop of dimensions l by w lies with its closest edge a distance a from the wire, as shown in the figure below. Take a = 1.0 cm, w = 3.5 cm,

A circular loop with 30\ turns and area of 0.25\ m^2 rotates at 100\ rad/s. The axis of rotation of the loop is perpendicular to the direction of the magnetic field of 0.04\ Tesla. What is the maximum

A piece of copper wire is formed into a single circular loop of radius 13 cm. A magnetic field is oriented parallel to the normal to the loop, and it increases from 0 to 0.70 T in a time of 0.45 s.

Consider the circuit shown in the diagram, which consists of an infinitely long solenoid (shaded, shown end-on in the diagram), producing a linearly increasing flux phi(t) = alpha t, coming out of the

Let \vec{v}=\left[ \begin{array}{l}{x} \\ {y} \\ {z}\end{array}\right] and define \vec{F}(x, y, z)=\hat{v}=\frac{\vec{v}}{\|\vec{v}\|. Calculate the flux of \vec{F} upward through the plane z =1

A uniform magnetic field \vec{B} = 9.27 \times 10^4 \hat{i} \space T passes through a closed surface with a slanted top as shown in the figure below. a. Given the dimensions and orientation of the closed surface shown, what is the magnetic flux through th

Explain why the emf induced in the conductor is much larger when the switch is opened as compared to the emf induced in when the switch is closed.

A 0.220 m radius, 500 turn coil is rotated one-fourth of a revolution in 4.17 ms, originally having its plane perpendicular to a uniform magnetic field. (This is 60 rev/s.) Find the magnetic field str

Explain the pattern of an electric field found inside a "Faraday's ice pail."

A circular conducting loop with a radius of 0.50 m and a small gap filled with a 12.0-ohm resistor is oriented in the xy-plane. If a magnetic field of 1.1 T making an angle of 30 degrees with the z-ax

The armature of an ac generator has 100 turns. Each turn is a rectangular loop measuring 8.0 cm \times 12 cm. The generator has a sinusoidal voltage output with an amplitude of 24 V. (a) If the magne

The bar magnet is pushed toward the center of a wire loop. Which is true? a) There is a counterclockwise induced current in the loop. b) There is no induced current in the loop. c) There is a clock

At a certain location, the Earth's magnetic field has a magnitude of 5.90E-5 T and points in a direction that is 71.6 below the horizontal. Calculate the magnitude of the magnetic flux through the to

Each side of a square loop of wire measures 2.0 cm. A magnetic field of 0.044 T perpendicular to the loop changes to zero in 0.10 s. What average emf is induced in the coil during this change? A. 1.8

In 1996, NASA performed an experiment called the Tethered Satellite experiment. In this experiment, a 2.20 104-m length of wire was let out by the space shuttle Atlantis to generate a motional emf. Th

A coil with an area of 0.10 m^2 is in a magnetic field of 0.20 T perpendicular to its area. It is flipped through 180 degree so that the part that was up is down. The flip takes 1.0 s. Estimate the av

A uniform magnetic field B has constant strength b teslas in the z-direction Calculate the flux of B through the rectangle with vertices at A = (9,0,7), B = (9,5,0), C=(0,5,0) and D = (0,0,7)

A small rectangular loop of wire is located close to a long straight wire initially carrying a current I = 119 A. Find the average emf induced in the loop if the current in the wire reverses direction in a time interval of \frac{1}{135} \space s.

Consider the diffusion of oxygen through a lowdensity polyethylene (LDPE) sheet 15 mm thick. The pressures of oxygen at the two faces are 2000 kPa and 150 kPa, which are maintained constant. Assuming conditions of steady state, what is the diffusion flux

A wire 88 cm long bent into a circular loop is placed perpendicular to the magnetic field of flux density 2.5 Wb/m(sq.). Within 0.5 s, the loop is changed into a square of each side 22 cm, and flux de

A uniform magnetic field of 0.20 \times 10^{-3} T exists in the space. Find the change in the magnetic scalar potential as one moves through 50 cm along the field.

In each of two coils the rate of change of the magnetic flux in a single loop is the same. The emf "i " in each of two coils the rate of change of the magnetic flux in a single loop is the same. The e

A square loop of wire with side length 10 cm is moving to the right with a constant speed of 16 m/s. The loop has a total resistance of 0.8 ohms. It begins in a region with no magnetic field, then ent

A flat loop of wire consisting of a single turn of cross-sectional area 7.20 cm^2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.40 T in 0.92 s. What is t

A metal disk 18.0 cm in diameter rotates about its circular axis of symmetry at an angular speed of 580 rad/s. The disk is situated in a uniform magnetic field of 0.190 T perpendicular to the plane of

A flat coil having 40 turns, each one of cross-sectional area 12.0 cm^2, is oriented with its plane perpendicular to a uniform magnetic field. The field varies steadily from 0.00 T to 1.20 T in 20.0 m

The current in a solenoid increases at a constant rate from zero to 10 amps in one second. the cross-sectional area of the solenoid is .000315m^2, and there are 300 turns of conducting wire over its 0

A Circular loop of wire is positioned half in and half out of a square region(the loop is on the very top center) of constant uniform magnetic field directed into the page. State at least three things

A flat coil of wire is placed in a uniform magnetic field that is in the y-direction. 1. 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

A student thrusts a 0,20T magnet with a cross sectional area of 2.0 cm 2 into a coil of 400 turns in 0,50s. The coil has a resistance of 30 ohms and it is connected in series with a moving coil meter

A student thrusts a 0.20 T magnet with a cross-sectional area of 2.0 cm^2 into a coil of 400 turns in 0.50 s. The coil has a resistance of 30 ohms and it is connected in series with a moving coil mete

A magnetic field is perpendicular to the plane of a single turn circular coil. The magnitude of the field is changing so that the emf of 0.80 V and a current of 3.2 A are induced in the coil. The wire

An electric motor has 72 turns of wire wrapped on a rectangular coil, of dimensions 3cm by 4cm. Assume that the motor uses 14A of current and that a uniform 0.5T magnetic field exists within the motor

A solenoid has a cross-sectional area of 2.60 \times 10^{-4} m^2, consists of 600 turns per meter, and carries a current of 0.7 A. A 10 turn coil is wrapped tightly around the circumference of the sol

A coil of 50 turns has a cross-sectional area of 4.2 times 10^(-3) m^2. It is placed at an angle to a uniform magnetic field of flux density 2.8 times 10^(-2) T, so that the angle = 50 degrees. What i

A solenoid has a cross-sectional area of 2.60 x 10^(-4) m^2, consists of 600 turns per meter, and carries a current of 0.7 A. A 10 turn coil is wrapped tightly around the circumference of the solenoid

A magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of the field is changing, so that an emf of 0.63 V and a current of 2.7 A are induced in the coil. The wire

A square coil of side 0.5 m is placed with its plane perpendicular to the direction of the magnetic field. What is the flux change in the coil if the magnetic field changes from 0.1 Tesla to 0.5 Tesla