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

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

$\displaystyle I=\frac{V}{R}$

Solving for V

$V=IR$

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

$\displaystyle I=\frac{V_1}{R_1}$

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