Find the current in the 10.0-Ù resistor in the drawing (V1 = 23.0 V and R1 = 21.0 Ù).
A
To find the current in the 10.0-Ù resistor, we can use Ohm's Law, which states that the current flowing through a resistor is equal to the voltage across the resistor divided by the resistance.
Given:
V1 = 23.0 V (voltage across R1)
R1 = 21.0 Ù (resistance of R1)
R2 = 10.0 Ù (resistance of the desired resistor)
To find the current in the desired resistor, we need to calculate the voltage across it. We can use the voltage divider formula, which states that the voltage across a resistor in series with other resistors is equal to the total voltage multiplied by the ratio of the resistance of the desired resistor to the total resistance.
The total resistance in this circuit is R1 + R2 = 21 Ù + 10 Ù = 31 Ù.
Using the voltage divider formula, we can calculate the voltage across the desired resistor:
V2 = V1 * (R2 / (R1 + R2))
= 23.0 V * (10.0 Ù / (21.0 Ù + 10.0 Ù))
= 23.0 V * (10.0 Ù / 31.0 Ù)
= 7.419 V
Now that we have the voltage across the desired resistor, we can calculate the current using Ohm's Law:
I = V / R
= 7.419 V / 10.0 Ù
= 0.7419 A
Therefore, the current flowing through the 10.0-Ù resistor in the circuit is approximately 0.7419 A.