Consider a solenoid of length L, N windings, and radius b (L is much longer than b). A current I is flowing through the wire. If the length of the solenoid became twice as long (2L), and other quantities remained the same, the magnetic field inside the solenoid would remain the same. become twice as strong. become one half as strong.

Explanation:

length of solenoid, L

current, I

number of turns, N

The magnetic field due to a solenoid is

   .... (1)

Now the length is 2L

The new magnetic field is

..... (2)

So, B' = B /2

Thus, the magnetic field becomes half.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.