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H asked in Science & MathematicsPhysics · 2 weeks ago

1. Study the circuit shown and answer the following questions (the capacitor is completely discharged at t=0)   'R=0.8 M OHM' 'C=5uF'?

b- What is the voltage across the capacitor immediately after the switch is closed?

c- What is the voltage across the resistor immediately after the switch is closed?

d- Calculate the charge on the capacitor after one time constant.

e- What is the final charge on the capacitor after very long time?

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1 Answer

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  • 2 weeks ago

    b) zero

    c) battery voltage v₀ (not stated)

    d) v = v₀[1–e^(–t/τ)] = v₀[1–e^(–1)]

    v = 0.63v₀

    Q = CV = 0.63v₀(5µ) = v₀(3.15) µC

    e) Q = CV = v₀(5µ) = v₀(5) µC

    voltage on a cap, charging

    v = v₀[1–e^(–t/τ)]

    v₀ is the battery voltage

    v is the voltage after time t

    R is resistance in ohms,

    C is capacitance in farads

    t is time in seconds

    RC = τ = time constant

    After 1τ, v = 0.63v₀

    After 2τ, v = 0.86v₀

    After 3τ, v = 0.95v₀

    After 5τ, v = 0.993v₀

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