Suppose the current in a conductor decreases exponentially with time according to the equation I(t) having dimensions of time. Consider a fixed observation point within the conductor. Ioe t/T, where Io is the initial current (att = 0), and t is a constant (a) How much charge passes this point between t = 0 and t = T? (Use the following as necessary: Io and T.) Q(T) = %D (b) How much charge passes this point between t = 0 and t = 10t? Q(10t) = (c) How much charge passes this point between t = 0 and t = o? Q(00) =

University Physics Volume 2
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Chapter9: Current And Resistance
Section: Chapter Questions
Problem 24P: A conductor carries a current that is decreasing exponentially with time. The current is modeled as...
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Suppose the current in a conductor decreases exponentially with time according to the equation I(t)
having dimensions of time. Consider a fixed observation point within the conductor.
Ioe t/T, where Io is the initial current (att = 0), and t is a constant
(a) How much charge passes this point between t = 0 and t = T? (Use the following as necessary: Io and T.)
Q(T) =
%D
(b) How much charge passes this point between t = 0 and t = 10t?
Q(10t) =
(c) How much charge passes this point between t = 0 and t = o?
Q(00) =
Transcribed Image Text:Suppose the current in a conductor decreases exponentially with time according to the equation I(t) having dimensions of time. Consider a fixed observation point within the conductor. Ioe t/T, where Io is the initial current (att = 0), and t is a constant (a) How much charge passes this point between t = 0 and t = T? (Use the following as necessary: Io and T.) Q(T) = %D (b) How much charge passes this point between t = 0 and t = 10t? Q(10t) = (c) How much charge passes this point between t = 0 and t = o? Q(00) =
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