Current with Calculus Video Lessons

Concept

# 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:

Constant charge:

$\overline{){\mathbf{Q}}{\mathbf{=}}{\mathbf{I}}{\mathbf{·}}{\mathbf{∆}}{\mathbf{t}}}$

(a)

Charge q:

91% (47 ratings)
###### 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.