Final answer:
The correct formula to find the power dissipated in a resistor is P = I²R, which relates the power (P) to the current (I) through and the resistance (R) of the resistor. so, option a is the correct answer.
Step-by-step explanation:
The student is asking how to find the power dissipated in a 30-ohm resistor in the context of a current divider. The correct formula to determine the power dissipated in a resistor is P = I²R, according to Joule's law. By substituting Ohm's law (V = IR) into Joule's law, we can also derive that power can be calculated using P = V²/R; however, in this scenario with a given resistance value and presumably known current, using P = I²R is the most straightforward approach.
The power dissipated in a resistor can be calculated using the formula P = I²R, where P is the power, I is the current flowing through the resistor, and R is the resistance of the resistor.
In the current divider circuit shown, we can find the power dissipated in the 30-ohm resistor by using Ohm's law and the formula for power.
Since the current flowing through the 30-ohm resistor is not given, we need more information to calculate the power accurately.