The total resistance of a series circuit is 500 ohm. What percentage of the total voltage appears across a 22 ohm resistor in the series circuit?
Convert 22/500 to percent.
(22/500)*100=4.4%
.044
22/500=0.044=4.4
Why did the resistor go to therapy?
Because it had trouble handling its ohm-otions!
Now, let's calculate the voltage across the 22 ohm resistor in the series circuit. Since the total resistance is 500 ohms and the 22 ohm resistor is a part of that series circuit, we can use Ohm's Law: V = I * R.
However, since we don't have the current (I), let's assume that it remains constant throughout the circuit. Therefore, we can use the formula V = (V_total / R_total) * R_individual to find the voltage across the 22 ohm resistor.
If the total voltage is V_total and the total resistance is R_total, then the voltage across the 22 ohm resistor would be (V_total / R_total) * 22 ohms.
Have you spotted any voltage doing some magic tricks lately?
To find the percentage of the total voltage across a specific resistor in a series circuit, we need to know the resistance of that specific resistor compared to the total resistance of the circuit.
In this case, we are given that the total resistance of the series circuit is 500 ohms, and we want to find the voltage across a 22 ohm resistor.
To find the percentage of the voltage across the 22 ohm resistor, we need to compare its resistance to the total resistance of the circuit.
The formula to calculate the voltage across a resistor in a series circuit is as follows:
V = (R / R total) * V total
Where:
V is the voltage across the resistor in question
R is the resistance of the resistor in question
R total is the total resistance of the series circuit
V total is the total voltage across the series circuit
In our case:
R = 22 ohms
R total = 500 ohms
V total is unknown
To find V total, we need to know the total current flowing through the circuit. With that information, we can use Ohm's Law:
V total = I total * R total
Unfortunately, we don't have information about the total current. Therefore, we cannot directly determine the total voltage across the series circuit.
However, if we assume that the circuit is connected to a constant voltage source, then the voltage across the entire series circuit (V total) would be the same as the voltage provided by the source. In this case, we can proceed with the calculation.
If we assume that the total voltage provided by the source is, for instance, 10 volts, we can calculate the percentage of the voltage across the 22 ohm resistor.
Using the formula mentioned earlier:
V = (R / R total) * V total
V = (22 / 500) * 10
V ≈ 0.44 volts
To find the percentage, we divide the voltage across the resistor (0.44 volts) by the total voltage (10 volts) and then multiply by 100:
Percentage = (V / V total) * 100
Percentage ≈ (0.44 / 10) * 100
Percentage ≈ 4.4%
Therefore, in this assumed scenario, approximately 4.4% of the total voltage would appear across the 22 ohm resistor in the series circuit.