If the voltage across a resistor is tripled, what happens to the current through

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Question: If the voltage across a resistor is tripled, what happens to the current through it, assuming resistance remains constant?

Options:

Correct Answer: It triples.

Solution:

According to Ohm\'s Law (I = V/R), if voltage (V) is tripled and resistance (R) remains constant, the current (I) will also triple.

If the voltage across a resistor is tripled, what happens to the current through it, assuming resistance remains constant?

If the voltage across a resistor is tripled, what happens to the current through it, assuming resistance remains constant?

Correct Answer: Current will triple.

Step 1: Understand Ohm's Law, which states that Current (I) equals Voltage (V) divided by Resistance (R).
Step 2: Write the formula: I = V / R.
Step 3: Identify that if the voltage (V) is tripled, we can express this as V' = 3V, where V' is the new voltage.
Step 4: Substitute the new voltage into the formula: I' = V' / R = (3V) / R.
Step 5: Simplify the equation: I' = 3(V / R) = 3I, where I is the original current.
Step 6: Conclude that if the voltage is tripled and resistance remains constant, the current will also triple.

Ohm's Law – Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance.