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Solved: CALC The current in a wire varies with time
Chapter 25, Problem 7E(choose chapter or problem)
Problem 7E
CALC The current in a wire varies with time according to the relationship I = 55 A – (0.65 A/s2)t2. (a) How many coulombs of charge pass a cross section of the wire in the time interval between t = 0 and t = 8.0 s? (b) What constant current would transport the same charge in the same time interval?
Questions & Answers
QUESTION:
Problem 7E
CALC The current in a wire varies with time according to the relationship I = 55 A – (0.65 A/s2)t2. (a) How many coulombs of charge pass a cross section of the wire in the time interval between t = 0 and t = 8.0 s? (b) What constant current would transport the same charge in the same time interval?
ANSWER:
Solution 7E
Step 1:
a) We have to find out the amount of charge flowing in a particular time through a circuit.
It is provided, I = 55A - (0.65 A/s2) t2
But, we know that, I = dQ/dt
Therefore, we can write, dQ = I . dt
Integrating both the sides, we get, total charge,