A 20.0-Ù resistor and a 45.0-Ù resistor in parallel are connected to a 120-V dc source.
(a) What is (are) the current(s) through the resistors?
current through the 20.0-Ù resistor:
Incorrect: Your answer is incorrect. .
A
current through the 45.0-Ù resistor:
Incorrect: Your answer is incorrect. .
A
(b) What is the voltage drop across each resistor?
voltage drop across the 20.0-Ù resistor:
Incorrect: Your answer is incorrect. .
V
voltage drop across the 45.0-Ù resistor:
Incorrect: Your answer is incorrect. .
V
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The voltage across each resistor is the same: 120V
then, for each resistor Ri, the current is
Ii = 120/Ri amps
To find the current through each resistor in a parallel circuit, you can use Ohm's Law. Ohm's Law states that the current (I) flowing through a resistor is equal to the voltage across the resistor (V) divided by the resistance (R).
For the 20.0-Ù resistor, you can use the equation I = V/R.
Substituting values, I = 120 V / 20.0 Ù = 6.0 A.
For the 45.0-Ù resistor, you can use the same equation I = V/R.
Substituting values, I = 120 V / 45.0 Ù = 2.67 A.
Therefore, the current through the 20.0-Ù resistor is 6.0 A, and the current through the 45.0-Ù resistor is 2.67 A.
To find the voltage drop across each resistor, we know that in a parallel circuit, the voltage across each resistor is the same as the total voltage of the circuit.
Therefore, the voltage drop across the 20.0-Ù resistor is 120 V.
Similarly, the voltage drop across the 45.0-Ù resistor is also 120 V.
So, the voltage drop across the 20.0-Ù resistor is 120 V, and the voltage drop across the 45.0-Ù resistor is also 120 V.