Optics Question 176

Question: A long straight wire of resistance R, radius a and length l carries a constant current I. The Poynting vector for the wire will be

Options:

A) IR2πal

B) IR2al

C) I2Ral

D) I2R2πal

Show Answer

Answer:

Correct Answer: D

Solution:

Electric field E=vl=iRl

(R = Resistance of wire) Magnetic field at the surface of wire B=μ0i2πa

(a = radius of wire) Hence poynting vector, directed radially inward is given by

S=EBμ0=iRμ0l.μ0i2πa=i2R2πal



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