Finding the Instantaneous Current at t=1.2s

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SUMMARY

The instantaneous current through a surface at time t=1.2s is calculated using the equation I=dq/dt, where the charge q is defined as q=q1t^3 + q2t + q3 with q1=4 C/s^3, q2=4.5 C/s, and q3=9.5 C. The derivative dq/dt results in I=12C/s^3*t^2 + 4.5C/s. Substituting t=1.2s yields an instantaneous current of 25.236 A, which was initially miscalculated due to a substitution error.

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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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