Physics 2 Quiz
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An RC circuit consists of a resistor RR and capacitor CC in series with a battery of EMF E\mathcal{E}. At t=0t = 0, the switch is closed and the capacitor begins to charge. A graph of the current I(t)I(t) through the circuit is plotted and shows an exponential decay from an initial value, reaching approximately 37% of its initial value at time t1t_1.
From the graph described, a student extracts the time constant τ=t1\tau = t_1 and the initial current I0I_0. The student then claims: *'The resistance in the circuit is R=E/I0R = \mathcal{E}/I_0 and the capacitance is C=τ/RC = \tau/R.'* Which of the following best evaluates this claim?
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