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Although the evidence is weak, there has been concern in recent years over possible health effects from the magnetic fields generated by electric transmission lines. A typical high-voltage transmission line is 20mabove the ground and carries a 200Acurrent at a potential of 110kV.

a. What is the magnetic field strength on the ground directly under such a transmission line?

b. What percentage is this of the earth’s magnetic field of 50μ°Õ?

Short Answer

Expert verified

(a) The magnetic field strength is 2μ°Õ.

(b) Percentage will be4%.

Step by step solution

01

Part (a) Step 1: Given information

We have given,

Height of transmission line =20m

Current ion transmission line =200A

we have to find the magnetic field at the ground due to transmission line.

02

Simplify

The magnetic field strength due to long wire is

B=μ0I2Ï€¸é=4π×10-7×2002π×20B=2×10-6T

03

Part (b) Step 1: Given information

We have given,

Magnetic field of the earth = 50×10-6T

we have to find the percentage of transmission magnetic strength to earth magnetic strength.

04

Simply

The percentage will be

percentage=magneticfieldofwiremagneticfieldofearth×100%percentage=25×100%percentage=4%

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