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

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

A resistor of 10Ω is connected to 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) consumed by a resistor, which 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 10Ω. So, 400 / 10 = 40.
Step 6: The result is 40. Therefore, the power consumed by the resistor is 40 watts (W).

Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, which is fundamental for calculating power.
Power Calculation – Understanding how to calculate power using the formula P = V^2/R, which relates voltage, resistance, and power consumption.