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In New Hampshire the average horizontal component of Earth鈥檚 magnetic field in 1912 was 16T, and the average inclination or 鈥渄ip鈥 was 73. What was the corresponding magnitude of Earth鈥檚 magnetic field?

Short Answer

Expert verified

The magnitude of the earth鈥檚 magnetic field is 55T

Step by step solution

01

Listing the given quantities

Horizontal component of magnetic field,Bh=16T

Inclination,i=73

02

Understanding the concepts of magnetic field

We use the horizontal component of magnetic field to calculate the magnitude of the earth鈥檚 magnetic field.

B=Bhcoscosi

03

Calculations of the magnitude of the earth’s magnetic field

The horizontal component of earth鈥檚 magnetic field is given by

Bh=Bcosi

iis the inclination or dip.

i=73Bh=16T

So,

B=Bhcoscosi=1610-6Tcoscos73=55T

The magnitude of the earth鈥檚 magnetic field is55T

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