Question

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?

Answer 1

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

Step-by-step 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

`\displaystyle I=(V)/(R)`

Solving for V

`V=IR`

Venus originally connected a resistance
`R_1` to a voltage
`V_1` to get some current I

`\displaystyle I=(V_1)/(R_1)`

The voltage needed to get that current is

`V_1=IR_1`

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

`V_2=IR_2`

`Since\ R_2>R_1,\ then\ V_2>V_1`

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