When more resistors are added in parallel, what happens to the circuit's total resistance?

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Multiple Choice

When more resistors are added in parallel, what happens to the circuit's total resistance?

Explanation:
When you put resistors in parallel, more paths are available for current to flow. That increases the overall conductance of the circuit, and conductance is the reciprocal of resistance. So adding another parallel path adds another 1/R term to the total and makes the equivalent resistance smaller. The relationship is 1/R_eq = 1/R1 + 1/R2 + ...; with equal resistors, two in parallel give R/2, three give R/3, and so on. Therefore, the total resistance decreases as you add more parallel resistors. It won’t become infinite, it won’t stay the same, and it won’t increase.

When you put resistors in parallel, more paths are available for current to flow. That increases the overall conductance of the circuit, and conductance is the reciprocal of resistance. So adding another parallel path adds another 1/R term to the total and makes the equivalent resistance smaller. The relationship is 1/R_eq = 1/R1 + 1/R2 + ...; with equal resistors, two in parallel give R/2, three give R/3, and so on. Therefore, the total resistance decreases as you add more parallel resistors. It won’t become infinite, it won’t stay the same, and it won’t increase.

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