In an electric circuit, if the voltage is doubled while the resistance remains c

Practice Questions

Q1
In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?
  1. It remains the same
  2. It doubles
  3. It quadruples
  4. It halves

Questions & Step-by-Step Solutions

In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?
  • Step 1: Understand the formula for power in an electric circuit, which is P = V^2 / R.
  • Step 2: Identify that V represents voltage and R represents resistance.
  • Step 3: Note that if the voltage (V) is doubled, it becomes 2V.
  • Step 4: Substitute 2V into the power formula: P = (2V)^2 / R.
  • Step 5: Calculate (2V)^2, which equals 4V^2.
  • Step 6: Now the power formula looks like this: P = 4V^2 / R.
  • Step 7: Compare the new power (4V^2 / R) to the original power (V^2 / R).
  • Step 8: Notice that the new power is 4 times the original power, meaning it is quadrupled.
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