Understanding the Components of Electric Charge Equation

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The discussion focuses on understanding the components of the electric charge equation, specifically the origins of the SQRT(3Q) and 2L^2 terms. Participants clarify that these components arise from breaking the electric field vector into its x and y components using trigonometric functions. The cosine and sine values for a 30-degree angle, specifically cos(30) = SQRT(3)/2 and sin(30) = 1/2, are essential for this breakdown. The lack of a strong background in trigonometry is acknowledged as a challenge for some participants. Overall, the conversation emphasizes the importance of trigonometric principles in understanding electric field calculations.
tchounkovskii
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Homework Statement


The question lies in the equation, I do not understand where the SQRT of 3Q or the 2L^2 is coming from?

Can somebody help me with this? The professor kinda breezed by this but I cannot find a valid explanation anywhere!

Thanks in advance!
 

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It looks like they are breaking the electric field vector into its x and y components. Knowing a little bit of trig you get cos(30) = sqrt(3)/2 and sin(30) = 1/2.
 
oh ok, see...i didn't take trig in HS :( I should have known better..oh well. thanks for the help.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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