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Too many variables!


DivideByZero

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This is a hw problem so please explain your process instead of telling me the whole answer, thanks!

 

2DAj8.jpg

 

There is a conductive ball hanging from a string in a electric plate.

 

As you can see its slightly tilted toward the negative end.

 

mass of ball: 0.04g

potential difference: 480V

separation of plates: 0.06m

angle of string hanging: 20 degrees

 

the question asks: What is the charge of the ball?

 

I drew a free body diagram of three forces.

one: force of tension

two: gravity/weight

three: force of charge pointing towards the right

 

I think I'm suppose to add up the three forces to equal zero.

F1 + F2 + F3 = 0.

 

I think F3 should use the formula ©(q1)(q2)/(r^2). Am I right?

If so then what is r???

 

I'm so lost in this problem please help guys!

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If I were you I'd write down the force due to an electric field to start with...

 

You should probably be familiar with the lorentz force

 

http://en.wikipedia.org/wiki/Lorentz_force

 

Or at least a very simplified version of it for a charge in a uniform electric field...

 

electric field:

 

E = F/q

 

E * q = F

 

(480)(q) = F

 

 

holy s*** thanks for that hint!


Merged post follows:

Consecutive posts merged

OK so here is what I've done so far:

 

F_g = m*g = (0.00004kg)*(9.8) = 3.92e-4

 

F_e = E*q = (480)*(q)

 

F_t = m*g*cos(20) = 3.684e-4

 

F_g + F_e + F_t = 0

 

...

 

q = 1.58e-6

 

 

 

is this right?????

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electric field:

 

E = F/q

 

E * q = F

 

(480)(q) = F

 

No.

 

Potential difference (voltage) is not the same as electric field. You will need to use the potential difference and the geometry of the plates to calculate the electric field.

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