5

A square coil has  turns of wire, a resistance of , and an area of .  The magnetic flux passing through the coil changes in such a way that a current  is induced flowing the right as shown.  The magnetic field is directed into the paper as shown.  What is the change in magnetic flux per second that creates this current and is the flux increasing or decreasing

 

A.

C.

 

 

 

 

B.

D.

 

 

Current going to the right implies that the induced magnetic field is also into the paper so the magnetic flux must be decreasing.  So, solving for the change in flux per time

 

 

 

So Correct answer is D !

6

A metal bar , is sliding on conductive rails to the right with a speed of

 .  A magnetic field is directed into the paper as shown below and has a strength of .  The resistance of the light bulb is .  What is the magnitude and direction of the current induced in the rails?

 

 

A.

B.

C.

 

D.

 

 

 

Since the area is getting bigger, the magnetic flux is getting larger.  So the induced B field needs to oppose the original B field, so it must come out of the paper and therefore the current induced by the right hand rule must go Counter Clockwise!

 

So Correct Answer is D !

7

A 747 airplane is flying at a cruising speed of  due west.  The wingspan of the plane is .  The plane develops an induced emf  with the north wing being more positive than the southern wing.  What is the magnitude and direction of the Earth’s vertical component of its magnetic field in the area that the plane is currently flying?

 

A.

C.

 

 

 

 

B.

D.

 

The magnetic force must be directed north, since that is the more positive end, so  must point north.  Since  is pointing west, and  must be perpendicular to both  and the force, must point up so that west x up is north, by the right hand rule.  Therefore, we know the direction of the vertical component of the Earth’s magnetic field must be up!  We are in the southern hemisphere!

 

Solve for B

 

 

So Correct Answer is A !

8

A cylindrical solenoid has  turns of wire over a length of  and a radius of .  When a current of  is running through the wire, the solenoid creates a magnetic field of .  How much energy is stored in the magnetic field of the solenoid in the volume of the solenoid, which is found to be ?

 

A.

C.

 

 

 

 

B.

D.

 

 

 

 

So Correct Answer is A !

 

 

 

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This page last updated on October 16, 2020