Question 1164774: the electric current I(in amperes passing through the resistor is related to the voltage V across of the terminals of a car battery (2 volts) construct a table of values of the current across the resistor for the difference resister values from 2000 ohms to 5000ohms use intervals of 1000 ohms plot the values as points in the cartesian plane and connect the points this a smooth curve or a straight line
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i believe the standard car battery is 12 volts.
i'll use that figure since i believe that may be what you meant, rather than 2 volts.
the actual voltage is 12.6 volts at full charge, but i won't muddy up the waters with that little tidbit.
another little tidbit.....
the standard battery has 6 cells connected in series with each cell producing 2 volts for a total of 12 volts.
that may be where you got the 2 volts from.
anyway, regardless of what volts you use, the solution will be done using the same method.
the relation between the resistance and the voltage and the current is:
resistance = voltage / current.
solve for current to get:
current = voltage / resistance.
if you let y = current and you let x = resistance and you use 12 for the voltage, the formula becomes:
y = 12 / x
you can see from the formula that, as the resistance increases, the current decreases.
if you only want to see the value of the current every 1000 ohms of resistance, then you can change the formula to:
y = 12 / (1000 * x)
now, when x = 1, the resistance is 1000 ohms, and when n = 2, the resistance is 2000 ohms, etc.
fyi, resistance is measured in ohms, current is measured in amperes, and voltage is measured in volts.
the graph will look like this.
sometimes the current is very small and is therefore measured in milli-amperes.
there are 1000 milli-amperes for every ampere.
to measure the current in milli-amperes, the formula becomes:
y = (1000 * 12) / (1000 * x)
you can use this formula as is, or you can simplify it to get:
y = 12000 / (1000 * x), or you can even simplify it further to get:
y = 12 / x
i didn't simplify it, but used it as is.
using milli-amperes, the graph would look like this.
it's the same answer, just using a different unit of measure for the currrent.
the coordinate points on the graph are shown in (x,y) format.
for example, (5,2.4) on the milli-ampere graph means the resistance is 5000 ohms and the current is 2.4 milli-amperes.
(5,.0024) on the ampere graph means the resistance is 5000 ohms and the current is .0024 amperes.
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