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

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

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.

Steps: 6

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.