English

An aircraft of wing span of 60 m flies horizontally in earth’s magnetic field of 6 × 10−5 T at a speed of 500 m/s. Calculate the e.m.f. induced between the tips of the wings of the aircraft.

Advertisements
Advertisements

Question

An aircraft of wing span of 60 m flies horizontally in earth’s magnetic field of  6 × 10−5 T at a speed of 500 m/s. Calculate the e.m.f. induced between the tips of the wings of the aircraft.

Numerical
Advertisements

Solution

e.m.f. = B⋅v⋅l

Given:

The magnetic field strength, B = 6 × 10−5 T,

The speed of the aircraft, v = 500 m/s,

The wing span of the aircraft, l = 60 m.

To find:

e.m.f. (e) = ?

Formula:

e = B l v

Substituting given values into the formula:

e.m.f. (e) = 6 × 10−5  T × 500 m/s × 60 m

e.m.f. (e) = 6 × 10−5 × 30000

e.m.f. (e) = 1.8 V

shaalaa.com
  Is there an error in this question or solution?
2023-2024 (March) Official

RELATED QUESTIONS

A 20 cm long conducting rod is set into pure translation with a uniform velocity of 10 cm s−1 perpendicular to its length. A uniform magnetic field of magnitude 0.10 T exists in a direction perpendicular to the plane of motion. (a) Find the average magnetic force on the free electrons of the rod. (b) For what electric field inside the rod, the electric force on a free elctron will balance the magnetic force? How is this electric field created? (c) Find the motional emf between the ends of the rod.


A conducting disc of radius r rotates with a small but constant angular velocity ω about its axis. A uniform magnetic field B exists parallel to the axis of rotation. Find the motional emf between the centre and the periphery of the disc.


Figure shows a straight, long wire carrying a current i and a rod of length l coplanar with the wire and perpendicular to it. The rod moves with a constant velocity v in a direction parallel to the wire. The distance of the wire from the centre of the rod is x. Find the motional emf induced in the rod.


An aircraft of wing span of 50 m flies horizontally in the Earth's magnetic field of 6 x 10-5 T at a speed of 400 m/s. Calculate the emf generated between the tips of the wings of the aircraft.


A metal disc of radius 30 cm spins at 20 revolution per second about its transverse symmetry axis in a uniform magnetic field of 0.20 T. The field is parallel to the axis of rotation. Calculate
(a) the area swept out per second by the radius of the disc
(b) the flux cut per second by a radius of the disc
(c) the induced emf between the axle and rim of the disc.


Mechanical force per unit area of a charged conductor is ______


A cycle wheel of radius 0.6 m is rotated with constant angular velocity of 15 rad/s in a region of magnetic field of 0.2 T which is perpendicular to the plane of the wheel. The e.m.f generated between its center and the rim is, ____________.


A circular coil expands radially in a region of magnetic field and no electromotive force is produced in the coil This is because ______.

The emf induced across the ends of a conductor due to its motion in a magnetic field is called motional emf. It is produced due to magnetic Lorentz force acting on the free electrons of the conductor. For a circuit shown in the figure, if a conductor of length l moves with velocity v in a magnetic field B perpendicular to both its length and the direction of the magnetic field, then all the induced parameters are possible in the circuit.

A conducting rod of length l is moving in a transverse magnetic field of strength B with velocity v. The resistance of the rod is R. The current in the rod is ______.


The emf induced across the ends of a conductor due to its motion in a magnetic field is called motional emf. It is produced due to magnetic Lorentz force acting on the free electrons of the conductor. For a circuit shown in the figure, if a conductor of length l moves with velocity v in a magnetic field B perpendicular to both its length and the direction of the magnetic field, then all the induced parameters are possible in the circuit.

A bicycle generator creates 1.5 V at 15 km/hr. The EMF generated at 10 km/hr is ______.


An e.m.f is produced in a coil, which is not connected to an external voltage source. This can be due to ______.

  1. the coil being in a time varying magnetic field.
  2. the coil moving in a time varying magnetic field.
  3. the coil moving in a constant magnetic field.
  4. the coil is stationary in external spatially varying magnetic field, which does not change with time.

A circular coil expands radially in a region of magnetic field and no electromotive force is produced in the coil. This can be because ______.

  1. the magnetic field is constant.
  2. the magnetic field is in the same plane as the circular coil and it may or may not vary.
  3. the magnetic field has a perpendicular (to the plane of the coil) component whose magnitude is decreasing suitably.
  4. there is a constant magnetic field in the perpendicular (to the plane of the coil) direction.

A magnetic field B = Bo sin ( ωt )`hatk` wire AB slides smoothly over two parallel conductors separated by a distance d (Figure). The wires are in the x-y plane. The wire AB (of length d) has resistance R and the parallel wires have negligible resistance. If AB is moving with velocity v, what is the current in the circuit. What is the force needed to keep the wire moving at constant velocity?


A rectangular loop of wire ABCD is kept close to an infinitely long wire carrying a current I(t) = Io (1 – t/T) for 0 ≤ t ≤ T and I(0) = 0 for t > T (Figure). Find the total charge passing through a given point in the loop, in time T. The resistance of the loop is R.


A rod of mass m and resistance R slides smoothly over two parallel perfectly conducting wires kept sloping at an angle θ with respect to the horizontal (Figure). The circuit is closed through a perfect conductor at the top. There is a constant magnetic field B along the vertical direction. If the rod is initially at rest, find the velocity of the rod as a function of time.


Find the current in the sliding rod AB (resistance = R) for the arrangement shown in figure. B is constant and is out of the paper. Parallel wires have no resistance. v is constant. Switch S is closed at time t = 0.


A wire 5 m long is supported horizontally at a height of 15 m along an east-west direction. When it is about to hit the ground, calculate the average e.m.f. induced in it. (g = 10 m/s2)


A magnetic flux associated with a coil changes by 0.04 Wb in 0.2 second. The induced emf with coil is ______.


Figure shows a rectangular frame situated in a constant magnetic field. A wire BC of length 1 m is moved out with velocity 4 m/s. Magnetic field strength is 0.15 T. Force acting on the wire BC is:


What is the magnitude of motional emf for the perpendicular arrangement of a straight conductor?


In \[e=Blv\], what does \[B\] represent?


In \[e=Blv\], what does \[l\] represent?


If a rod moves a distance \[dx\] in time \[dt\], what is the change in magnetic flux used in the Faraday's Law derivation?


What is the magnitude of the induced EMF when the Faraday's Law derivation gives \[e=-Blv\]?


What happens to motional EMF if \[\vec{v}\parallel\vec{B}\]?


A metallic rod rotates at \[50\,\mathrm{rev/s}\]. What is its angular velocity?


Earth's horizontal magnetic field is \[H_E=0.4\,\mathrm{G}\]. What value of \[B\] is used in tesla?


A wheel has \[10\] metallic spokes, each \[0.5\,\mathrm{m}\] long. It rotates at \[120\,\mathrm{rev/min}\] in a plane normal to Earth's horizontal magnetic field \[H_E=0.4\,\mathrm{G}\]. What is the induced EMF between the axle and rim?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×