While working on her science fair project Venus connected a battery to a circuit that contained a light bulb. Venus decided to change the light bulb to a higher resistance, but she wanted to keep the current the same. What will Venus need to do?

Respuesta :

Answer:

Venus will need to use more voltage to have the same current

Explanation:

Ohm's Law

It states that the current through a conductor is directly proportional to the voltage applied to it and inversely proportional to the resistance of the conductor. This relationship can be written as

[tex]\displaystyle I=\frac{V}{R}[/tex]

Solving for V

[tex]V=IR[/tex]

Venus originally connected a resistance [tex]R_1[/tex] to a voltage [tex]V_1[/tex] to get some current I

[tex]\displaystyle I=\frac{V_1}{R_1}[/tex]

The voltage needed to get that current is

[tex]V_1=IR_1[/tex]

If Venus changes the light bulb to another with higher resistance, say, [tex]R_2[/tex], then the current would change, unless she uses another voltage

[tex]V_2=IR_2[/tex]

[tex]Since\ R_2>R_1,\ then\ V_2>V_1[/tex]

Venus will need to use more voltage to have the same current