What is the formula for calculating the equivalent resistance (R_eq) in a parallel circuit?
Understand the Problem
The question is asking for the mathematical formula used to determine the equivalent resistance in a parallel circuit. This involves understanding how resistors behave when connected in parallel and the relationships between their resistances.
Answer
1/R_eq = 1/R_1 + 1/R_2 + ... + 1/R_n.
The equivalent resistance of resistors in a parallel circuit can be calculated using the formula: ( rac{1}{R_{eq}} = rac{1}{R_1} + rac{1}{R_2} + ... + rac{1}{R_n} ). After calculating the sum of the reciprocals, take the reciprocal of the result to find ( R_{eq} ).
Answer for screen readers
The equivalent resistance of resistors in a parallel circuit can be calculated using the formula: ( rac{1}{R_{eq}} = rac{1}{R_1} + rac{1}{R_2} + ... + rac{1}{R_n} ). After calculating the sum of the reciprocals, take the reciprocal of the result to find ( R_{eq} ).
More Information
When resistors are connected in parallel, each additional resistor provides an alternative path for the current, which generally decreases the overall resistance of the circuit.
Tips
A common mistake is to forget to take the reciprocal of the result obtained from the summation of reciprocals, which is essential to find the equivalent resistance.
Sources
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