How much power is dissipated by each resistor in the figure below, in which V = 24 V and R2 = 15 ?
P = V^2/R
To determine the power dissipated by each resistor in the given figure, we need to use Ohm's Law and the formula for power.
Ohm's Law states that the current (I) flowing through a resistor is equal to the voltage (V) across the resistor divided by its resistance (R). It can be written as:
I = V / R
The formula for power (P) dissipated by a resistor is given by:
P = I^2 * R
Let's calculate the values step by step:
1. First, find the current flowing through R2 using Ohm's Law.
I2 = V / R2
I2 = 24 V / 15 Ω
I2 ≈ 1.6 A
2. Next, calculate the power dissipated by R2 using the power formula.
P2 = I2^2 * R2
P2 = (1.6 A)^2 * 15 Ω
P2 ≈ 38.4 W
Therefore, the power dissipated by resistor R2 is approximately 38.4 watts.