There are three 10.0 Ohm resistors connected in series across a 120 V generator. What is the current in the circuit?

Group of answer choices

6 A

4 A

13 A

120 A

1 answer

To find the current in the circuit, we can use Ohm's Law, which states:

\[ I = \frac{V}{R} \]

where:

  • \( I \) is the current (in Amperes)
  • \( V \) is the voltage (in Volts)
  • \( R \) is the resistance (in Ohms)
  1. First, we need to calculate the total resistance in the circuit. Since the resistors are connected in series, the total resistance \( R \) is the sum of all individual resistances:

\[ R_{\text{total}} = R_1 + R_2 + R_3 = 10.0 , \Omega + 10.0 , \Omega + 10.0 , \Omega = 30.0 , \Omega \]

  1. Now, we can calculate the current using the total resistance and the voltage of the generator:

\[ I = \frac{V}{R_{\text{total}}} = \frac{120 , V}{30.0 , \Omega} = 4 , A \]

Thus, the current in the circuit is 4 A.

So, the correct answer is 4 A.