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Question: A parallel circuit is connected to a 9V battery. The circuit has resistors of 5ohms, 8ohms, and 10 ohms. What is the current of the circuit?
In a parallel circuit, the voltage across each component is the same and the total current is the sum of the currents through each component. The formula for calculating the current through each branch of a parallel circuit is: I=V/R. So, for this example: 1. Current through the 5 ohm resistor = V/R = 9V / 5 ohms = 1.8 A 2. Current through the 8 ohm resistor = V/R = 9V / 8 ohms = 1.125 A 3. Current through the 10 ohm resistor = V/R = 9V / 10 ohms = 0.9 A The total current in the circuit is the sum of these currents, So I_total = I_5ohm + I_8ohm + I_10ohm = 1.8A + 1.125A + 0.9A = 3.825 A. Thus, the total current in the circuit is 3.825 Amperes.
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