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A long straight horizontal cable carries...

A long straight horizontal cable carries a current of `2.5amp`. In the direction `10^@` south of west to `10^@` north of east, figure. The magnetic meridian of the place happens to be `10^@` west of the geographic meridian. The earth's magnetic field at the location is `0.33G` and the angle of dip is zero. Locate the line of neutral points (Ignore the thickness of the cable). [At neutral points, magnetic fied due to a current cable is equal and opposite to the horizontal component of earth's magnetic field.]

A

15.15mm

B

30.15mm

C

35.15mm

D

40.15mm

Text Solution

Verified by Experts

The correct Answer is:
A

The neutral point can be achieved at a location above, cable, where magnetic field of cable is blanced by earth's mangetic field `B_(H)`.
`B=(mu_(0))/(4pi) (2I)/(r )=B_(H)`
`10^(-7)xx(2xx2.5)/(r )=0.33xx10^(-4)`
`or r=(5xx10^(-3)m)/(0.33)=15.15xx^(-3)=15.15mm`
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