Batteries not shown A wire is connected to batteries (not shown, and current flo

Question

Batteries not shown A wire is connected to batteries (not shown, and current flows through the wire. The wire lies flat on a table, and you arelooking down on itfrom above. The Wireislaid on top of a compass, resting about 4 mm above the needle. The distance d is 5.5 cm. The compass needle deflects 11 degrees from North, as shown. At this location the horizontal component of the Earths magnetic field is 2e-5 tesla. What is the direction of the magnetic field at location A, midway between the wires, due to the current in the wire? Into the page What is the approximate magnitude of the magnetic feld at location A, due to the current in the wire? 77e-6

Explanation / Answer

1)

a)

here

the direction of magnetic field at location A is

into the page

b)

Bwire = Bearth * tan11deg

Bwire = 2 * 10^-5 * tan11deg

Bwire = 0.388 * 10^-5 T

then

Bwire = u0 * 2 * I / (4 * pie * r)

0.388 * 10^-5 = 4 * pie * 10^-7 * 2 * I / (4 * pie * 4 * 10^-3 )

I = 0.0776 amp

then

B = Buper + Blower

B = u0 * 2 * I / (4 * pie * d/2) + u0 * 2 * I / (4 * pie * d/2)

B = 2 * ( 4 * pie * 10^-7 * 2 * 0.0776 / (4 * pie * (0.055/2)))

B = 1.128 *10^-6 T

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