The charge passes this point between t = 0 and t = τ .

Question

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(∞) =

Answer 1

Question

Chapter 26, Problem 5P

(a)

To determine

The charge passes this point between t=0 and t=τ .

(b)

To determine

The charge passes this point between t=0 and t=10τ .

(c)

To determine

The charge passes this point between t=0 and t=∞ .

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