Calculating work from E-Field Graphs

AI Thread Summary
To calculate the work done by an external agent in moving a charge of -0.39x10^-12 C from point 'i' to point 'b', the formula used is Work = -q * ΔV, where ΔV is the potential difference between the two points, calculated as ([3 - +3]*1000). The resulting work calculated is 2.34*10^-9 J. For determining the electric field at point 'k', the approach involves selecting an appropriate distance interval Δd from the equipotential lines and using the formula E = -ΔV/Δd. Estimating Δd requires measuring the distance on the diagram with a ruler.
xSnoopy
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Homework Statement


a)Calculate the work performed by an external agent to move a charge of -0.39x10^-12 C from `i' to `b'

http://capa-new.colorado.edu/msuphysicslib/Graphics/Gtype54/prob04a_threeqcontour.gif

Hint: The equipotential lines shown are separated by 1 kV. Work to move a charge is the increase in potential energy of the charge. The potential energy is the potential times the charge.

b)Calculate the magnitude of the electric field at `k'.

Homework Equations


a)-q*ΔV = Work
b) E = -ΔV/Δd

The Attempt at a Solution


a)I have tried simply plugging in the values:
q = (-0.39x10^-12) and ΔV = ([3 - +3]*1000)

And got the answer 2.34*10^-9 J

b)not really sure where to start here...
 
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Hi xSnoopy. Look at the equipotential lines plot and pick an appropriate interval of distance Δd. You'll need to decide where to choose the location of Δd and what direction to orient it. You can then use the ruler in the diagram to estimate Δd in centimeters. Decide how to use this to estimate E.
 
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