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Need help with 7,9,10 please The program linfit.nb yields the slope m delta m of

ID: 1330994 • Letter: N

Question

Need help with 7,9,10 please The program linfit.nb yields the slope m delta m of the plot ln( V) vs. t. Show how to compute tau and delta tau, given m and delta m. In part I of this lab, what is the stray capacitance and how is it measured? An RC circuit has a time constant of tau = 85 msec. A switch is closed, which causes the capacitor to discharge through the resistor. How long after the switch is closed will the voltage on the capacitor have fallen to 2% of its initial value? True or False: Holding everything else constant, if one capacitor is physically larger than another capacitor, then the larger-sized capacitor must have a larger capacitance.

Explanation / Answer

9. V = V0 ( e^(-t / T)

V / V0 = e ^ (-t /T)

V/V0 = 2% = 0.02 Given.

T = 85 msec = 0.085 sec (Given)

Putting values,

0.02 = e^ ( - t / 0.085)

taking ln of both sides

ln(0.02) = ln e^ (-t / 0.085)

-3.91 = -t / 0.085

t = 0.3325 sec = 332.5 m sec ........Ans

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