High School

A 200-ohm resistor is connected to a 12 V car battery. If the resistor is then removed and connected to a battery with a 6 V potential difference, what happens to the current passing through the resistor?

Answer :

When a resistor is connected to a battery with a lower voltage, the amount of current flowing through it would decrease.

What does a potential difference of 6 volts mean?

R is the resistance applied through the 6 volt cell. We obtain by replacing values. As a result, the potential difference across the 6V cell is 8.4 V. The voltage is the difference in potential between two sites in an electric field. In an electric field, the current is the movement of charges between two sites.

According to Ohm's Law

I = V/R

The current flowing through a 200 ohm resistor attached to a 12 V automotive battery is:

I = V/R

= 12 V / 200 ohms

= 0.06 A

Applying Ohm's Law once more, the new current would be:

I = V/R

= 6 V / 200 ohms

= 0.03 A

Therefore, When a resistor is connected to a battery with a lower voltage, the amount of current flowing through it would decrease.

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Connecting a 200 ohm resistor to a 6 V battery halves the current compared to a 12 V battery. If the resistor is replaced with one of lower resistance while voltage remains constant, current increases. Using a voltmeter alters the circuit and changes the expected readings.

When the 200 ohm resistor is removed from a 12 V battery and connected to a 6 V battery, the current passing through the resistor will decrease. According to Ohm's law, V = IR, where V is the voltage, I is the current, and R is the resistance. When the voltage is halved from 12 V to 6 V and the resistance remains the same, the current is also halved. Originally, the current I = V/R = 12 V / 200 ohms = 0.06 amperes. After connecting to the 6 V battery, the new current is I = 6 V / 200 ohms = 0.03 amperes.

If the voltage supplied by the battery remains constant but the resistor is replaced with another resistor with a lower resistance, the current will increase because the resistance is the denominator in Ohm's law. For instance, if a 24-ohm resistor is connected across a 6-volt battery, using Ohm's law I = V/R, the current I = 6 V / 24 ohms = 0.25 amperes.

When using a multimeter like a voltmeter to measure voltage, it is possible to alter the circuit, affecting the resistance and current. In the example provided, if a voltmeter is placed in parallel with one resistor, an effective resistance lower than the individual components is created. This results in a larger current and a larger voltage drop across the second resistor, and hence a smaller voltage drop across the resistor with the voltmeter connected.