Question

question 12 (1 point)
three identical resistors are connected in series to a 12-v battery. what is the voltage across any one of the resistors?
36 v
12 v
4 v
zero

Explanation:

Step1: Recall series circuit voltage rule

In a series circuit with identical resistors, the total voltage \( V_{total} \) is divided equally among the resistors. The formula for voltage across each resistor \( V_{each} \) when there are \( n \) identical resistors is \( V_{each}=\frac{V_{total}}{n} \).

Step2: Identify values

Here, \( V_{total} = 12\space V \) and \( n = 3 \) (three identical resistors).

Step3: Calculate voltage across one resistor

Substitute the values into the formula: \( V_{each}=\frac{12\space V}{3}= 4\space V \).

Answer:

4 V (corresponding to the option "4 V")