Finding the Instantaneous Current at t=1.2s

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To find the instantaneous current at t=1.2s, the charge equation q=q1t^3 + q2t + q3 is differentiated to obtain I=dq/dt, resulting in I=12C/s^3t^2 + 4.5C/s. Substituting t=1.2s into the equation gives I=12(1.2)^2 + 4.5. After calculating, the correct current is found to be 25.236 A. The discussion highlights the importance of careful substitution and unit conversion in solving physics problems. Simple mistakes can lead to incorrect answers, emphasizing the need for thorough checking.
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Homework Statement


The quantity of a charge passing through a surface of area 2.67 cm^2 varies with time as q=q1t^3 + q2t + q3, where q1=4 C/s^3, q2=4.5 C/s, q3=9.5 C and t is in seconds. What is the instantaneous current through the surface at t=1.2s? Answer in units of A



Homework Equations


I=dq/dt



The Attempt at a Solution


I found that dq/dt = 12C/s^3t^2 + 4.5C/s

To find I, I need to plug in t. Which gives me (12C/s^3)(1.2s) + 4.5C/s, however I am unsure of how to do the conversion to come to the right answer. I know that 1A = 1C/s. I plugged in 25.236 A in but it came out wrong. I know there is some conversions I am missing, any pointers? Thanks
 
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(12C/s^3)(1.2s) + 4.5C/s
Check the substitution.
 
I got it. Thanks for pointing that out, its amazing how the simple mistakes always get you.
 
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