Final answer:
To find the voltage at the 3-ohm resistor, you use Ohm's law to first determine the total current in the circuit and then calculate the voltage drop across the resistor, resulting in 18 volts.
Step-by-step explanation:
To calculate the voltage drop across the 3-ohm resistor, we first need to determine the total current flowing through the circuit. By applying Ohm's law, which 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), we find the total current. Given that the parallel resistance (Rp) is 0.50 ohms and the total voltage supplied is 3.00 volts, we can calculate the total current using the formula I = V / Rp.
I = 3.00 V / 0.50 Ω = 6 A. Now that we have the total current, we can calculate the voltage drop across the 3-ohm resistor using the formula V3 = I * R3.
V3 = 6 A * 3 Ω = 18 V. Thus, the voltage at the 3-ohm resistor is 18 volts.