A current of 0.2 amps passes through a 3 ohm resistor. The resistor is connected to a 6v battery and an unknown resistor. what is the resistance value of the unknown resistor?
R1 = 0.6 v R2 = 5.4 v R2 = 0.2amps
5.4/0.2 = 27 ohms
27 ohms ?
that's what I get
I = E/R = 6/(R+3) = 0.2
Where did 5.4 come from
To calculate the resistance value of the unknown resistor, you can use Ohm's Law. Ohm's Law states that the current passing through a resistor is equal to the voltage across the resistor divided by the resistance of the resistor.
Given:
Current, I = 0.2 amps
Resistance of known resistor, R1 = 3 ohms
Voltage across known resistor, V1 = 0.6 volts (calculated using Ohm's Law: V1 = I * R1 = 0.2 * 3 = 0.6 volts)
Voltage across unknown resistor, V2 = 6 volts (given)
To find the resistance of the unknown resistor, R2, we can rearrange Ohm's Law as follows:
V2 = I * R2
Substituting the known values, we have:
6 = 0.2 * R2
Now we can solve for R2 by dividing both sides of the equation by 0.2:
R2 = 6 / 0.2 = 30 ohms
Therefore, the resistance value of the unknown resistor is 30 ohms.
To find the resistance value of the unknown resistor, we can use Ohm's Law, which states that the current (I) passing through a resistor is equal to the voltage (V) across the resistor divided by the resistance (R) of the resistor.
Given that the current passing through the circuit is 0.2 amps and the resistance of the known resistor is 3 ohms, we need to find the voltage across the unknown resistor.
We know that the total voltage provided by the 6V battery is equal to the sum of the voltage drops across both resistors. Let's call the voltage across the unknown resistor V2.
So, we can write the equation: 6V = V2 + (0.2 amps) * (3 ohms)
Simplifying the equation, we have:
6V = V2 + 0.6V
5.4V = V2
Therefore, the voltage across the unknown resistor is 5.4V.
Now we can use Ohm's Law to find the resistance of the unknown resistor.
We know that the current passing through the unknown resistor is 0.2 amps, and the voltage across the unknown resistor is 5.4V.
Using Ohm's Law, we can write the equation:
R2 = V2 / I
R2 = 5.4V / 0.2A
R2 = 27 ohms
So, the resistance value of the unknown resistor is 27 ohms.