A capacitance C, a resistance R and an emf ε are connected in series at t = 0. What is the maximum value of (a) the potential difference across the resistor (b) the current in the circuit (c) the potential difference across the capacitor (d) the energy stored in the capacitor (e) the power delivered by the battery and (f) the power converted into heat?
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Explanation:
(a) When the capacitor’s charge is zero, it acts as short circuit.
So, the potential difference’s maximum value across the resistor =
(b) The current’s maximum value in the circuit
=
(c) Potential difference’s maximum value across the capacitor = ε
(when the capacitor is fully charged at t = ∞ and it appears as an open circuit)
(d) In the capacitor, the stored maximum energy
=
(e) By the battery, maximum power is delivered
=ε2r
(f) When maximum power is converted to heat
=ε2r
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