Solve for the equation resistance in each of the scenario: a) a 200 { , 250{ and a 300 resistor connected in parallel
To find the total resistance (Rt) when resistors are connected in parallel, we use the reciprocal rule:
1/Rt = 1/R1 + 1/R2 + 1/R3
Where R1, R2, and R3 are the resistances of the individual resistors.
a) In this case, we have three resistors connected in parallel: 200Ω, 250Ω, and 300Ω. We can substitute these values into the equation:
1/Rt = 1/200 + 1/250 + 1/300
To simplify the equation, we find the common denominator:
1/Rt = (750 + 600 + 500) / (200 * 250 * 300)
= 1850 / (15000000)
= 37 / 300000
Now, we take the reciprocal of both sides:
Rt = 300000 / 37
Therefore, the total resistance when a 200Ω, 250Ω, and 300Ω resistor are connected in parallel is approximately 8108.11Ω.