What is the magnitude/direction of the E field?

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SUMMARY

The discussion focuses on calculating the magnitude and direction of the electric field (E) acting on a pendulum bob with a mass of 0.005 kg and a charge of -8.0 µC. The pendulum has a length of 1.0 m and a period of 1.2 s. The relevant equation derived from the forces acting on the bob is ∑Fy = qE - mg = ma, which allows for the determination of E by isolating it in the equation. The solution requires finding the acceleration of the bob to solve for the electric field strength.

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  • Calculate the acceleration of the pendulum bob using the period formula T = 2π√(L/g)
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Homework Statement


A bob of mass 0.005kg is attached to a pendulum and has a charge of -8.0 uC. The pendulum is 1.0m long and has a periods of 1.2 s when it's puts it in a vertical uniform electric field E. What are the magnitude and direction of E?

Homework Equations


∑Fy = qE - mg = ma

q is charge
E is electric field
m is mass
g is gravity
a is acceleration
L is length
T is period

The Attempt at a Solution


I set up a FBD and this is what I have so far.
 
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At this point I'm trying to find an equation for acceleration so I can solve for E.
 
Show what you've done.
 

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