Suppose the current in a conductor decreases exponentially with time according to the equation I(t) = I0e-t/τ, where I0 is the initial current (at t = 0), and τ is a constant having dimensions of time. Consider a fixed observation point within the conductor. (Use the following as necessary: I0 and τ) (a) How much charge passes this point between t = 0 and t = τ? (If applicable, round any coefficients to 3 decimal places.) Q(τ) =        (b) How much charge passes this point between t = 0 and t = 10τ? (If applicable, round any coefficients to 5 decimal places.) Q(10τ) =        (c) How much charge passes this point between t = 0 and t = ∞? (If applicable, round any coefficients to 3 decimal places.) Q(∞) =

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter28: Current And Resistance
Section: Chapter Questions
Problem 69PQ
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Suppose the current in a conductor decreases exponentially with time according to the equation I(t) = I0e-t, where I0 is the initial current (at t = 0), and τ is a constant having dimensions of time. Consider a fixed observation point within the conductor. (Use the following as necessary: I0 and τ)

(a) How much charge passes this point between t = 0 and t = τ? (If applicable, round any coefficients to 3 decimal places.)
Q(τ) = 
 
 
 


(b) How much charge passes this point between t = 0 and t = 10τ? (If applicable, round any coefficients to 5 decimal places.)
Q(10τ) = 
 
 
 


(c) How much charge passes this point between t = 0 and t = ∞? (If applicable, round any coefficients to 3 decimal places.)
Q(∞) = 
 
 
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