# Linear function Word Problem

• Apr 10th 2012, 12:49 AM
GAVREED2
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) = V0 (100.434Q/Q0 – 1),
where
Q0 and V0 are some constant reference values measured in Coulombs and Volts, correspondingly.

Find the ratio of V/V0 when the charge Q is 10% grater than Q0. 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 V0 = 0.001 V, find what is the voltage in the diod when its charge is 10 times greater than the reference charge Q0. Round off your answer to three decimal places.
• Apr 10th 2012, 01:30 PM
GAVREED2
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?
• Apr 11th 2012, 10:28 AM
HallsofIvy
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.