a cable has conducting wire 1mm surround by a mettalic sheet of radius 6mm .the space between wire and sheet is filled with a dielectric material constant 2.05.what is the capacitance of 8km length of the table
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12th
Physics
Moving Charges and Magnetism
Force on Current Carrying Conductor
A loop of flexible conducti...
PHYSICS
Asked on November 22, 2019 byVishnu Guda
A loop of flexible conducting wire of length l lies in magnetic field B which is normal to the plane of loop. A current I is passed through the loop. The tension developed in the wire to open up is:
A
2πBIl
B
2BIl
C
2πBIl
D
BIl
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ANSWER
Let a small segment of length dl subtends an angle dθ at the center of the circle( radius R) of which dl is a small arc.
The tensions at both ends of dl will be equal in magnitude.
The horizontal components cancel each other.
The vertical components are downward.
Total vertical component: 2Tsin(2dθ)
The upward force on the segment dl is IBdl
But, dl=R×2πdθ
∴IBR×dθ=2Tsin(2dθ)=2T2dθ
⇒T=IBR ....(2)
The shape of the wire will become a circle.
∴l=2πR
⇒R=2πl
Substituting R=2πl in eqn(2)
T=