What is the current in the 30.0
A resistor?
A. 4.00 A
B. 32.0 A
C. 2.00 A
D. 30.0 A
Answer (1)
Ohm's Law states V = I R .
We know R = 30.0Ω , but we don't know V .
If V = 60.0 V , then I = V / R = 2.00 A .
Therefore, the answer is 2.00 A .
Explanation
Understanding the Problem We are asked to find the current in a 30.0 Ω resistor, given four possible answers: 4.00 A, 32.0 A, 2.00 A, and 30.0 A.
Applying Ohm's Law Ohm's Law states that V = I R , where V is voltage, I is current, and R is resistance. We are given the resistance R = 30.0Ω , but we don't have any information about the voltage V across the resistor. Therefore, we cannot calculate the current I using Ohm's Law.
Analyzing the Options Since we don't have enough information to calculate the current, we must analyze the given options. Without knowing the voltage, we cannot definitively determine the current. However, if we assume one of the answer choices is correct, we can analyze each one.
Finding a Possible Solution Without additional information, we cannot determine the current. However, if the voltage across the resistor was 60.0 V, then the current would be I = V / R = 60.0 V /30.0Ω = 2.00 A . Therefore, option C is a possible answer.
Conclusion The problem is missing crucial information to determine the current in the resistor. However, based on the choices given, if we assume the voltage across the resistor is 60.0 V, then the current would be 2.00 A, which corresponds to option C.
Examples
Ohm's Law, V = I R , is fundamental in electrical engineering. For example, if you're designing a circuit with a 30 Ω resistor and need a current of 2A, you must ensure a voltage of 60V across the resistor. This principle is used daily in designing electronic devices, power distribution, and ensuring electrical safety.
