What is equivalent between points a and b when R=3
R R
----\/\/\/----\/\/\/----
a /\/\/\-----b
\/\/\/\/-----
To find the equivalent between points A and B when R = 3, we need to understand what equivalence means in this context. In electrical circuits, two points are considered equivalent if they have the same electrical potential or voltage.
In this circuit, there are resistors denoted by the symbol "R" and depicted as rectangular boxes. The wavy lines represent wires connecting the resistors. To find the equivalent resistance between points A and B, we need to determine the total resistance when these points are connected.
To do this, we can use the concept of series and parallel resistors:
1. Series Resistance: When resistors are connected in series, their resistances add up. In this circuit, the resistors are connected in series if there is a single path for the current to flow from A to B. In that case, we can add up the resistances to find the total resistance.
2. Parallel Resistance: When resistors are connected in parallel, their reciprocal values add up, and the total resistance is the reciprocal of the sum. In this circuit, the resistors are connected in parallel if there are multiple paths for the current to flow between A and B.
Looking at the circuit, we can see that resistors R and R are connected in parallel since there are two paths for the current to flow between A and B. We can calculate their equivalent resistance using the parallel resistance formula:
1/Req = 1/R1 + 1/R2
Using this formula, we can substitute the values:
1/Req = 1/R + 1/R = 1/3 + 1/3 = 2/3
To find the equivalent resistance, we take the reciprocal of both sides:
Req = 3/2
Therefore, the equivalent resistance between points A and B when R = 3 is 3/2.