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(∞) =
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(∞) =
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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(∞) =
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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