Please solve all parts (a&b). Show work (detailed) and write clearly.Thank you P

Question

Please solve all parts (a&b). Show work (detailed) and write clearly.Thank you

Problem 2: The excess charge at a given point in a circuit as a function of time is described by the equation g(t) = 6.5-8.5t 2.9t, where the charge is in coulombs when the time is in seconds Part (a) Calculate the instantaneous current, in amperes, that flows through the circuit at time t? -6.5 s Final Grade 100% Correct Answer Student Answer I(t) = 29.2 Grade Detail I(t1) 292 Correct Student Feedback Final Answer Credit 100% Submission Detail Answer Hints Feedback Totals I(t1) 29.2 090 0% 000 006 Totals 090 0% 0% 0% Part (b) Calculate the average current, in amperes, that flows through the circuit between to = 0 and t1 = 6.5 seconds Final Grade 91% Correct Answer Student Answer lave = 10.35 ave- 10.35

Explanation / Answer

Here,

q = 6.5 - 8.5t + 2.9t^2

a) instantaneous current = dq/dt

instantaneous current = -8.5 + 2 * 2.9 * t

at t = 6.5 s

instantaneous current = -8.5 + 2 * 2.9 * 6.5

instantaneous current = 29.2 A

b) for the averge current

average current = charge flown/time taken

average current = ((6.5 - 8.5 * 6.5+ 2.9 * 6.5^2) - (6.5 - 0 - 0) )/6.5

average current = 10.35 A

the average current is 10.35 A

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