Question

4. The electric current I (in amperes) passing through a resistor is related to the voltage
V across a resistor (in volts) and the resistance R (in ohms) by the formula I=


. If the
resistor is connected across the terminals of a car battery (12 volts), construct a table
of values of the current across the resistor for different resistor values from 2000
ohms to 5,000 ohms. Use intervals of 1000 ohms. ​

Answer 1

Given : The electric current I (in amperes) passing through a resistor is related to the voltage  V across a resistor (in volts) and the resistance R (in ohms) by the formula .

the  resistor is connected across the terminals of a car battery (12 volts),

To Find : Formula

Construct a table  of values of the current across the resistor for different resistor values from 2000  ohms to 5,000 ohms. Use intervals of 1000 ohms​

Solution:

Ohm's law   I  = V/R

I = Current  ( unit Amp , A)

V = Voltage  ( Unit Volt , V )

R = Resistance  ( unit Ohm , Ω )

The electric current I (in amperes) passing through a resistor is related to the voltage  V across a resistor (in volts) and the resistance R (in ohms) by the formula I = V/R

V = 12V

R ( Ω)      I = V/R  = 12/R

2000       12/2000  =  6 mA

3000       12/3000  =  4 mA

4000       12/4000  = 3 mA

5000       12/5000  = 2.4 mA

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