1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A long straight cable of lenght l is placed symmetrically along z - axis has radius a(<<l). The cable consists of a thin wire and a coaxial conducting tube. An alternating current I(t)=I0sin(2πυt)flows down the central thin wire and return along the coaxial conducting tube. The induced electric field at a distance s from the wire inside the cable is E(s,t)=μoIoυcos(2πυt) ln(sa)^k. The displacement current density inside the cable is

A
2πλ2I0 ln(as)sin(2πυt)^k
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Iλ2I0ln(as)sin(2πυt)^k
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
πλ2I0ln(as)sin(2πυt)^k
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Zero
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 2πλ2I0 ln(as)sin(2πυt)^kGiven: The induced electric field at a distance from wire is E(s,t)=μ0I0υ cos(2πυt)ln(sa)^kDisplacement current density is given by:→Jd=ϵ0d¯Edt⇒ϵ0μ0I0v∂∂(t)(cos2πvt)(sa)^kSubstitute c for 1√μ0ϵ0.⇒1c2I02πv2(−sin(2πvt) ln(sa)^k⇒(vc)22πI0sin(2πvt) ln(as)^k⟹2πλ2I0 ln(as)sin(2πvt)^kOption (A) is correct.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Maxwell's Equation
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program