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Unformatted text preview: Ω In Series: 8 Ω + 12 Ω = 20 Ω Andy Gawne PHYS 13351 Solve: The time constant ( τ ) of the RC circuit is: τ = RC = (20 Ω ) * (50 μ f) = 1.0 ms Using the equation for RC circuits V = V o et/ τ and solving for t we get t =  τ * ln(V / V o ) Since Voltage = Current * Resistance and the resistance is constant while the current is halved, then V = V o /2. Substituting V = V o /2 into the equation t =  τ * ln(V / V o ) gives us: t =  τ * ln(1/2) = 1.0 ms * ln(1/2) = 0.69 ms Assess: The current through the 8 Ω resistor is half the initial current in 0.69 ms. This is a reasonable answer since the capacitance is such a small number and the resistor is fairly large in comparison....
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 Spring '08
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 Physics, Charge, Current, Resistor, RC circuit, Electrical resistance, Series and parallel circuits, Andy Gawne PHYS

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