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A guitar string negligible thick and length l is doing smalloscillations transve

ID: 1754498 • Letter: A

Question


A guitar string negligible thick and length l is doing smalloscillations transversally with amplitud A and frecuency f. Acharge q is distribute uniform along the string in such a waythat electromagnetic radiation is emitted. Calculate the radiatedpower using the electric dipole aproximation admiting that l ismuch fewer than the wave length . Thanks.
A guitar string negligible thick and length l is doing smalloscillations transversally with amplitud A and frecuency f. Acharge q is distribute uniform along the string in such a waythat electromagnetic radiation is emitted. Calculate the radiatedpower using the electric dipole aproximation admiting that l ismuch fewer than the wave length . Thanks. Thanks.

Explanation / Answer

Any motion that repeats itself at regular intervals is calledperiodic motion or harmonic motion.For such motion the displacementx of the particle from the origin is given as a function of timeby x(t) = xm* cos(wt + ) in which xm,w,and are constants.This motionis called simple harmonic motion (SHM),a term that means theperiodic motion is a sinusoidal function of time. The radiated power is P = I2 * R = I2 * ( * l/A) I is the current flowing through the string, is theresistivity of the guitar string,l is the length of the string andA is the area of crossection of the string.