Students are modelling the effect of the resistance of electrical cables, C, on the transmission of electrical power. Their circuit is set up as the following: Describe the effects of introducing a second resistor at point C on the brightness of the light bulb, B, with reference to power.
Question
Students are modelling the effect of the resistance of electrical cables, C, on the transmission of electrical power. Their circuit is set up as the following:
Describe the effects of introducing a second resistor at point C on the brightness of the light bulb, B, with reference to power.
Solution
Introducing a second resistor at point C would increase the total resistance of the circuit. According to Ohm's law, the current in a circuit is inversely proportional to the resistance. Therefore, the current flowing through the circuit would decrease.
The power transmitted through a circuit is given by the formula P=I^2R, where P is power, I is current, and R is resistance. As the current decreases due to the increased resistance, the power transmitted through the circuit would also decrease.
The brightness of a light bulb is directly proportional to the power supplied
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