A resistor of 10Ω is connected across a 20V battery. What is the power consumed

A resistor of 10Ω is connected across a 20V battery. What is the power consumed by the resistor? (2021)

A resistor of 10Ω is connected across a 20V battery. What is the power consumed by the resistor? (2021)

Step 1: Identify the values given in the problem. We have a resistor of 10 ohms (Ω) and a battery of 20 volts (V).
Step 2: Recall the formula for power (P) in terms of voltage (V) and resistance (R). The formula is P = V^2 / R.
Step 3: Substitute the values into the formula. Here, V = 20V and R = 10Ω.
Step 4: Calculate V^2. This means 20V * 20V = 400V^2.
Step 5: Now divide 400V^2 by the resistance (10Ω). So, 400V^2 / 10Ω = 40W.
Step 6: The power consumed by the resistor is 40 watts (W).

Ohm's Law and Power Calculation – Understanding the relationship between voltage, resistance, and power in electrical circuits.