Question
A student constructs a basic circuit linked to a 3 volt battery. Subsequently the student links the circuit to two distinct resistors and documents the gathered data as demonstrated.
Trial number Voltage Resistance Current
Trial 1 3 150 0.020
Trial 2 3. 200 0.015
In trial 2 the student employed a higher resistance than trial 1 the student asserts that the rise in resistance resulted in the reduction of current is this true or not?
Trial number Voltage Resistance Current
Trial 1 3 150 0.020
Trial 2 3. 200 0.015
In trial 2 the student employed a higher resistance than trial 1 the student asserts that the rise in resistance resulted in the reduction of current is this true or not?
Answers
GPT-4o mini
Yes, the student's assertion is true. According to Ohm's Law, which states that \( V = I \times R \) (where \( V \) is voltage, \( I \) is current, and \( R \) is resistance), if the voltage remains constant and the resistance increases, the current must decrease.
In the provided data:
- **Trial 1** has a voltage of 3V and a resistance of 150 ohms, resulting in a current of 0.020A (20mA).
- **Trial 2** also has a voltage of 3V but with a resistance of 200 ohms, resulting in a current of 0.015A (15mA).
When the resistance increased from 150 ohms to 200 ohms, the current decreased from 20mA to 15mA, which is consistent with Ohm's Law. Thus, the statement is accurate: the increase in resistance led to a decrease in current.
In the provided data:
- **Trial 1** has a voltage of 3V and a resistance of 150 ohms, resulting in a current of 0.020A (20mA).
- **Trial 2** also has a voltage of 3V but with a resistance of 200 ohms, resulting in a current of 0.015A (15mA).
When the resistance increased from 150 ohms to 200 ohms, the current decreased from 20mA to 15mA, which is consistent with Ohm's Law. Thus, the statement is accurate: the increase in resistance led to a decrease in current.