Definition of wave velocity
2 answers:
Answer:
Velocity = frequency * wave length
Explanation:
Wave velocity is the measure of how fast the wave is being transmitted to a particular direction.
velocity implies both speed and direction as we know.
The velocity of a wave is equal to the product of its wavelength and frequency
where
- frequency - number of oscillations per unit time (measured in Hz)
- wave length - distance between corresponding points of two consecutive waves (measured in meters)
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The magnetic field vector B generated by the current at an arbitrary point in terms of i, the length element dl, and the vector for the distance r from dl to the point is given by the equation dB = μ0/4 π ∫ (dl x r)/r
The Biot – Savart Law gets its name from Jean-Baptiste Biot and Felix Savart. This is a formula that describes the relationship between force, displacement, and velocity. It plays a huge role in the branch of electromagnetism. This law is used to derive the equation between the magnetic field which is produced due to the flow of a constant electric current.
The equation of Biot – Savart law is
dB = μ0/4 π ∫ {(idl sinΦ)/r2}
Here,
I is the current,
dl is the small length of the wire. As the direction of this length is along the current hence it forms the vector idl.
r is the position vector of the point in question which is drawn from the current element and
Φ is the angle between the two.
<h3>Applications of Biot – Savart Law </h3>• It helps in the calculation of magnetic field in an infinitely long straight wire with constant current,
• Calculation of magnetic field in the center of current carrying arc can be done by this,
• To calculate the magnetic field along the axis of a circular current carrying coil, this law can be used.
To know more about Biot - Savart Law visit:
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Answer:
Kinetic energy of the projectile at the vertex of the trajectory: .
Work done when firing this projectile: .
Explanation:
Since the drag on this projectile is negligible, the horizontal velocity of this projectile would stay the same (at
) throughout the flight.
The vertical velocity of this projectile would be
at the vertex (highest point) of its trajectory. (Otherwise, if
, this projectile would continue moving up and reach an even higher point. If
, the projectile would be moving downwards, meaning that its previous location was higher than the current one.)
Overall, the velocity of this projectile would be when it is at the top of the trajectory. The kinetic energy
of this projectile (mass
) at the vertex of its trajectory would be:
.
Apply the Pythagorean Theorem to find the initial speed of this projectile:
.
Hence, the initial kinetic energy of this projectile would be:
.
All that energy was from the work done in launching this projectile. Hence, the (useful) work done in launching this projectile would be .