The capacitors are connected in parallel. We have C1 = 120µF, C2 = 30µF, R = 50Ω, and E = 40V. The capacitors are
initially uncharged and at t = 0 the switch is closed, allowing current to flow.
a) What is the time constant of the system?
b) How is the voltage of C1 related to the voltage of C2?
c) How is the charge stored by C1 related to the charge stored by C2? How is the current through C1 related to the
current through C2? What fraction of the current through the battery flows through C1? What fraction flows through
C2?
d) What is the voltage of C1 and the voltage of C2 as t → ∞?
e) What is the energy stored by each capacitor as t → ∞? What is the total energy supplied by the battery and the total
energy dissipated by the resistor as t → ∞?
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2. Consider the RC circuit shown below: R M 5 11 The capacitors are connected in parallel. We have = 1200F, C, 30F, R 500, and 8 = 40V. The capacitors are initially uncharged and at t=0 the switch is closed, allowing current to flow. a) What is the time constant of the system? b) How is the voltage of related to the voltage of Cy? c) How is the charge stored by Crelated to the charge stored ty C7 How is the current through related to the current through Cy? What fraction of the current through the battery flows through G? What fraction flows through CO? d) What is the voltage of C, and the voltage of C, as 100? c) What is the energy stored by each capacitor asto? What is the total energy supplied by the battery and the total energy dissipated by the resistor asto?