To calculate the power consumed by a 50-ohm resistor connected to a 12V battery, you can use Ohm's law, which states that:
Power (P) = (Voltage)^2 / Resistance
where:
Voltage (V) is the voltage across the resistor (in volts).
Resistance (R) is the resistance of the resistor (in ohms).
Given that the voltage (V) is 12V and the resistance (R) is 50 ohms, we can plug these values into the formula:
Power (P) = (12V)^2 / 50 ohms
Now, calculate the power:
P = (144V^2) / 50 ohms
P = 2.88 watts
The power consumed by the 50-ohm resistor connected to a 12V battery is 2.88 watts.