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zetologos
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Homework Statement
I don't know where to start. Can anyone recommend a book the instructor didn't assign one.
pgardn said:The second diagram looks too easy if Points A and B on the circuit are the far right top and bottom "corners" on the circuit. There is only one resistor between points A and B? What am I missing?
Equivalent resistance is the total resistance of a circuit when all resistors are replaced by a single resistor. It is the resistance that would produce the same current in the circuit as the original combination of resistors.
Equivalent resistance can be calculated using the formula R_{eq} = R_{1} + R_{2} + ... + R_{n}, where R_{1}, R_{2}, ... , R_{n} are the individual resistances in the circuit. For resistors in parallel, the formula is 1/R_{eq} = 1/R_{1} + 1/R_{2} + ... + 1/R_{n}.
Equivalent resistance is important because it helps us simplify complex circuits and analyze them more easily. It also allows us to determine the total resistance in a circuit, which is necessary for calculating the total current and voltage.
The main factors that affect equivalent resistance are the number and arrangement of resistors in a circuit. Resistors in series add up to a larger equivalent resistance, while resistors in parallel result in a smaller equivalent resistance.
Yes, equivalent resistance can be lower than the smallest individual resistor in a circuit. This happens when resistors are connected in parallel, as the total resistance decreases as more resistors are added in parallel.