In a circuit, if the voltage is doubled and the resistance remains constant, wha

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Question: In a circuit, if the voltage is doubled and the resistance remains constant, what happens to the current? (2020)

Options:

Correct Answer: Doubles

Exam Year: 2020

Solution:

According to Ohm\'s law, I = V/R. If V is doubled, I also doubles.

In a circuit, if the voltage is doubled and the resistance remains constant, what happens to the current? (2020)

In a circuit, if the voltage is doubled and the resistance remains constant, what happens to the current? (2020)

Step 1: Understand Ohm's Law, which states that Current (I) equals Voltage (V) divided by Resistance (R). This can be written as I = V/R.
Step 2: Identify the initial voltage (V) and resistance (R) in the circuit.
Step 3: If the voltage is doubled, write the new voltage as 2V.
Step 4: Since the resistance (R) remains constant, the new current (I') can be calculated using the new voltage: I' = (2V) / R.
Step 5: Compare the new current (I') with the original current (I). The original current was I = V/R.
Step 6: Notice that I' = (2V) / R = 2(V/R) = 2I. This means the new current is double the original current.
Step 7: Conclude that if the voltage is doubled and resistance remains constant, the current also doubles.

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