Along wire carrying i=1.1a of constant current oriented north-to-south (and the current is running northwards) is placed horizontally distance d=0.9cm from a compass needle in the same horizontal plane as the compass needle. assuming the earth magnetic field to be bearth= 20μt. what is the absolute value of the angular deviation θ of the compass needle from the north-to-south direction?

The absolute value of the angular deviation is 39.3°.

Explanation:

Given that,

Current = 1.1 A

Distance = 0.9 cm

Magnetic field = 20μT

We need to calculate the magnetic field due to wire

Using formula of magnetic field

Put the value into the formula

We need to calculate the absolute value of the angular deviation

Using formula of direction

Hence, The absolute value of the angular deviation is 39.3°.

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.