QUESTIONA series DC circuit has a 12-volt source and a total resistance of 40 ohms. If the total resistance is doubled to 80 ohms while the source voltage stays the same, what happens to the circuit current?
- AIt is reduced to half its original value, 0.15 A
- BIt doubles to 0.6 A because more resistance draws more current
- CIt stays at 0.3 A because the source voltage is unchanged
Show the answer and explanation
Correct answer: A. It is reduced to half its original value, 0.15 A
- A — correct By Ohm's Law, I = E/R. With 12 V and 40 ohms the current is 0.3 A; with 80 ohms it is 12/80 = 0.15 A, half the original value.
- B — incorrect Current varies inversely with resistance; adding resistance reduces current. A current of 0.6 A would result from halving the resistance to 20 ohms.
- C — incorrect Current depends on both voltage and resistance. With the voltage fixed, changing the resistance changes the current.