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A simple circuit exists with one light bulb. A resistor of equal resistance to the bulb gets placed in the circuit in parallel. Which of the following would occur? The current would increase. The total voltage would decrease. The current would stay the same. The total resistance would remain the same.

Question

A simple circuit exists with one light bulb. A resistor of equal resistance to the bulb gets placed in the circuit in parallel. Which of the following would occur? The current would increase. The total voltage would decrease. The current would stay the same. The total resistance would remain the same.

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Solution

When a resistor of equal resistance to the bulb is placed in parallel in the circuit, the following would occur:

  1. The total resistance of the circuit would decrease. This is because in a parallel circuit, the total resistance is given by the reciprocal of the sum of the reciprocals of the individual resistances. So, if you add another resistor in parallel, the total resistance decreases.

  2. Because the total resistance decreases, the total current in the circuit would increase. Ohm's law states that the current is directly proportional to the voltage and inversely proportional to the resistance. So, if resistance decreases, current increases, assuming the voltage remains constant.

  3. The total voltage across the circuit would remain the same. In a parallel circuit, the voltage across each component is the same. So, adding another resistor in parallel does not change the total voltage.

So, the correct answer is: The current would increase.

This problem has been solved

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