Linear function Word Problem

It has been found through the series of experiments that voltage *V *at the semiconductor diode is related to the charge *Q *at the diode by the formula *V*(*Q*) = *V*0 (100.434*Q*/*Q*0 – 1),

where *Q*0 and *V*0 are some constant reference values measured in Coulombs and Volts, correspondingly.

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Find the ratio of *V*/*V*0 when the charge *Q *is 10% grater than *Q*0. Round off your answer to one decimal place.

Which charge (in Coulombs) on the diode is when the voltage is 0 Volts? Present your answer with one decimal palce.

Assuming that *V*0 = 0.001 V, find what is the voltage in the diod when its charge is 10 times greater than the reference charge *Q*0. Round off your answer to three decimal places.

Re: Linear function Word Problem

Can someone please show me how to work this problem out. I am confused by the Qo/Q and Vo/V. How do they relate to each other?

Re: Linear function Word Problem

I think your subscript is supposed to be a subscript: Is it

$\displaystyle V= V_0 (10^{0.434\frac{Q_0}{Q}}- 1)$

or

$\displaystyle V= V_0 10^{0.434\frac{Q_0}{Q}- 1}$

In either case, start by dividing both sides by $\displaystyle V_0$ so the left side is $\displaystyle \frac{V}{V_0}$. If "Q is 10% greater than $\displaystyle Q_0$", then $\displaystyle Q= 1.1Q_0$ so that $\displaystyle \frac{Q}{Q_0}= 1.1$ and $\displaystyle \frac{Q_0}{Q}= \frac{1}{1.1}= 0.9091$, approximately. Put that into the right side of the equation and do the calculations.