A 16.0 ohm and a 24.0 ohm resistor are connected in parallel. A difference in potential of 32.0 V is applied to the combination.
What is the equivalent resistance of the parallel circuit?
What is the total current in the circuit?
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To find the equivalent resistance of a parallel circuit, you can use the formula:
1/Req = 1/R1 + 1/R2 + ...
In this case, we have two resistors in parallel, so the formula becomes:
1/Req = 1/16 + 1/24
Now, let's calculate the equivalent resistance:
1/Req = (24 + 16) / (24 * 16)
1/Req = 40 / 384
1/Req = 5/48
To invert the fraction, we get:
Req = 48/5
Req = 9.6 ohms
So, the equivalent resistance of the parallel circuit is 9.6 ohms.
To find the total current in the circuit, you can use Ohm's Law, which states that current (I) is equal to the voltage (V) divided by the resistance (R):
I = V / R
In this case, the voltage is given as 32.0 V. The equivalent resistance (Req) is calculated as 9.6 ohms. Plugging these values into the formula, we get:
I = 32.0 / 9.6
I ≈ 3.33 A
So, the total current in the circuit is approximately 3.33 Amperes.