Question

By Faraday's Law, if a conducting wire of length L meters moves at velocity v m/s perpendicular to a magnetic field of strength B (in teslas), a voltage of size V = −BLv is induced in the wire.

Assume that B = 9 and L = 0.7. Find the rate of change (dV/dv).

Answer 1

Also: Find the rate of change of V with respect to time t if v = 5t + 9.

:/

Answer 2

I suppose the physics forum is empty?

Answer 3

It's not Physics as much as it is Calculus.

Answer 4

This is the maths forum. i.e., we solve problems intrinsic to mathematics. e.g., algebra, geometry, calculus, differential equations, etc. i.e., general cases. Last time I checked, there was no mathematical relation defined on the set of real numbers such that the magnetic strength between two numbers exists.

Look! They're attracting each other:

3.8 7.5

... wait... they're numbers... not particles.

-.-

Answer 5

Well... this is a problem in my Calculus homework, so it must be relevant to math somehow. It's asking for a derivative. I can try to rewrite it:

f(x) = -abx
a=9
b=0.7
Find d/dx of the function.

That's what it looks like to me.

Answer 6

V = −BLv
dV/dv=-BL
according to the given

Answer 7

-BL or -BLv?

Answer 8

-BL

Answer 9

and dV/dt=-5BL

Answer 10

So... the first answer is -(9)(0.7) = -6.3
and the second answer is -(5)(9)(0.7) = -31.5
?

Answer 11

yes

Answer 12

Holy crap, those are right! Can you try to explain a little more how you did them, so I know how to do problems like this in the future?

Answer 13

y=kx k is constant
dy/dx=k simple
____________________
y=kx
and
x=kt+1
dx/dt=k
________________
dy/dt=dy/dx * dx/dt

Answer 14

hope it is clear

Answer 15

Gotcha, thanks!

Answer 16

wellx