A students finds a resistance in a transistor radio. When the resistance is connected to a battery of 1.5 volts, the current is 0.0025 amperes. When the resistance is connected to four batteries with a voltage of 1.5 volts, the current measures to be 0.1 amperes. When the resistance is connected to a battery of 9V, the current measures to be 0.15 amperes. Are these resistances an ohmic resistance? Explain.
R = V/i
1.5/.0025 = 600 Ohms
step 2 is meaningless because you do not say if the batteries are in series or parallel.
9/0.14 = 60 Ohms
So no, resistance is not constant
However I bet you have a typo.
To determine if the resistances in this transistor radio are ohmic resistances, we need to analyze the relationship between the voltage and the current.
Ohmic resistances obey Ohm's Law, which states that the current flowing through a conductor is directly proportional to the voltage applied across it. Mathematically, Ohm's Law can be expressed as:
V = I * R
Where:
V is the voltage across the resistance
I is the current flowing through the resistance
R is the resistance value
To check if the resistances in the transistor radio are ohmic, we can calculate the resistance values using the given voltage and current measurements.
1. First, let's consider the resistance when it's connected to a single battery with a voltage of 1.5 volts and the current measures 0.0025 amperes. We can rearrange Ohm's Law to solve for resistance:
R = V / I
Substituting the given values, R = 1.5V / 0.0025A, we find the resistance to be 600 ohms.
2. Next, let's consider the resistance when it's connected to four batteries with a voltage of 1.5 volts and the current measures 0.1 amperes:
Using Ohm's Law again, R = V / I. Substituting the given values, R = 1.5V / 0.1A, we find the resistance to be 15 ohms.
3. Finally, let's consider the resistance when it's connected to a single battery with a voltage of 9 volts and the current measures 0.15 amperes:
Using Ohm's Law, R = V / I. Substituting the given values, R = 9V / 0.15A, we find the resistance to be 60 ohms.
Now, if the resistances were ohmic, we would expect the resistance value to be constant regardless of the voltage applied. However, in this case, we have obtained distinct resistance values at different voltages.
Based on the given measurements, the resistances in the transistor radio are not ohmic resistances. Ohmic resistors would have a fixed resistance value, but here the resistance changes with different applied voltages.