A particular RC circuit is assembled from a 12 volt battery, a 300 Ω resistor, and a 73 µF capacitor. How long will it take the capacitor to

Question

A particular RC circuit is assembled from a 12 volt battery, a 300 Ω resistor, and a 73 µF capacitor. How long will it take the capacitor to achieve a charge of 63% of its maximum charge (once turned on)?

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Minh Khuê 4 years 2021-08-04T22:50:57+00:00 1 Answers 11 views 0

Answers ( )

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    2021-08-04T22:52:08+00:00

    Answer:

    \tau = 0.0219

    Explanation:

    The time \tau it takes for the voltage across the capacitor V_c to go from 0 volts to 63% of the source voltage is given by the formula:

    \tau= RC

    Where:

    \tau=Time\hspace{3}constant\\R=Electrical\hspace{3}resistance\\C=Capacitance

    After 5 \tau the voltage has risen to 99% of its final value.

    Therefore:

    \tau =RC=300(73\times 10^{-6})=0.0219

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