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Chapter 29: Q3P (page 836)

At a certain location in the Philippines, Earth鈥檚 magnetic field of 39渭罢is horizontal and directed due north. Suppose the net field is zero exactly8.0cmabove a long, straight, horizontal wire that carries a constant current. (a) What are the magnitude and (b) What is the direction of the current?

Short Answer

Expert verified

a. The magnitude of the current is16A .

b. The direction of the current is east.

Step by step solution

01

Determining the formula for the magnetic field 

Biot- savart law states that the magnetic intensity at any point due to a steady current in an infinitely long straight wire is directly proportional to the current and inversely proportional to the distance from the point to the wire. Using this equation, Solve for current.

Magnetic field due to the current in the wire at a point and distance r from the wire is:

B=渭0i2蟺谤

02

(a) Calculating magnitude of the current  

To find the magnitude of current :

B=渭0i2蟺r

Substitute the value and solve as:

i=2蟺rB渭0=2蟺脳0.08脳39脳10-64蟺脳10-7=16A

03

(b) Calculating the direction of the current 

Direction of the current:

As the field is directed towards south, the current must be directed from west to east as per the right hand rule.

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Most popular questions from this chapter

A solenoid that is 95.0cmlong has a radius of2.00cmand a winding ofrole="math" localid="1663136568607" 1200turns; it carries a current of3.60A. Calculate the magnitude of the magnetic field inside the solenoid.

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