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H asked in Science & MathematicsPhysics · 2 weeks ago

2. If the capacitor in Q 1 is charged to a potential difference of 12 V, then discharged through an 0.8 MΩ resistance as shown?

C= 5 uF, R=0.8M

Attachment image

1 Answer

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  • 2 weeks ago

    τ = RC = 5 µF x 0.8 MΩ = 4 sec

    Q = CV = 5 µF x 12 v = 60 µC

    v = v₀e^(–t/τ)

    v = 12e^(–1) = 4.41 volts

    zero

    voltage on a cap, discharging

    v = v₀e^(–t/τ)

    v₀ is the initial voltage on the cap

    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

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