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Question: a parallel circuit with a 6V power source, a 10 ohm resistor, and 5 ohm resistor. What is the resistance? What is the current?
In a parallel circuit, resistors do not add up directly as they do in series. Instead, we use the formula: 1 / Rt = 1 / R1 + 1 / R2 + ... In this case, where R1 and R2 are the resistances of the 10 ohm resistor and the 5 ohm resistor, respectively: 1 / Rt = 1 / 10 + 1 / 5 = 0.1 + 0.2 = 0.3 (ohm⁻¹) To find the total resistance, we need to take the reciprocal of this (1/Rt), which gives: Rt = 1 / 0.3 = approximately 3.33 ohms. The formula to calculate the total current going through the circuit is I = V / Rt, where V is the voltage and Rt is the total resistance. So, I = 6 / 3.33 = approximately 1.80 Amps.
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