Kaya collects the data shown in the table.
| Quantity | Value |
|---|---|
| Voltage | 6.0 V |
| Current | 0.3 A |
| Resistance |
What is the resistance in the circuit?
A. $0.05 \Omega$
B. $1.8 \Omega$
C. $5.7 \Omega$
D. $20 \Omega$
Answer (1)
Use Ohm's Law: V = I R .
Rearrange to solve for resistance: R = I V .
Substitute given values: R = 0.3 6.0 .
Calculate the resistance: 20Ω .
Explanation
Problem Analysis We are given the voltage and current in a circuit and asked to find the resistance. We will use Ohm's Law to solve for the resistance.
Applying Ohm's Law Ohm's Law states that Voltage (V) = Current (I) × Resistance (R), or V = I R . We need to find the resistance R , so we rearrange the formula to solve for R : R = I V
Calculating Resistance We are given that the voltage V = 6.0 V and the current I = 0.3 A. Substituting these values into the formula, we get: R = 0.3 6.0 = 20 Therefore, the resistance is 20Ω .
Examples
Ohm's Law is fundamental in electrical engineering. For example, if you're designing a simple circuit to power an LED, you need to choose a resistor that limits the current to a safe level for the LED. Knowing the voltage of your power source (e.g., a battery) and the desired current for the LED, you can use Ohm's Law to calculate the necessary resistance. This ensures the LED works correctly and doesn't burn out. In this case, understanding the relationship between voltage, current, and resistance is crucial for practical circuit design and troubleshooting.
