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Problem: The current in a wire varies with time according to the relation I = (55 A - (0.65 A/s2)t2.How many coulombs of charge pass a cross-section of the wire in the time interval between t = 0 and t = 8.5s ? Express your answer using two significant figures.What constant current would transport the same charge in the same time interval? Express your answer using two significant figures.

FREE Expert Solution

Power rule of Integration:

xn dt=1n+1xn+1

Constant charge:

Q=I·t

(a)

Charge q:
q=t1t2Idt=08.5(55 -0.65t2)dt=[55t]08.5-[0.65t33]08.5=467.5-133.1

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Problem Details

The current in a wire varies with time according to the relation = (55 A - (0.65 A/s2)t2.

How many coulombs of charge pass a cross-section of the wire in the time interval between = 0 and t = 8.5s ? Express your answer using two significant figures.

What constant current would transport the same charge in the same time interval? Express your answer using two significant figures.

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