three resistors are connected in parallel R1=10, R2=50, R3=25.what is the equivalent resistance
To find the equivalent resistance of resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + 1/R3
Where:
Req = Equivalent resistance
R1, R2, R3 = Resistances of the individual resistors
Now let's substitute the given values:
1/Req = 1/10 + 1/50 + 1/25
To simplify this equation, let's find the least common denominator (LCD) of the fractions. In this case, the LCD is 50. Multiply each fraction by its corresponding factor to get the denominator to 50:
1/Req = 5/50 + 1/50 + 2/50
1/Req = (5 + 1 + 2) / 50
1/Req = 8/50
Now, invert both sides of the equation to solve for Req:
Req/1 = 50/8
Req = 50/8
Finally, divide 50 by 8 to get the equivalent resistance:
Req ≈ 6.25
Therefore, the equivalent resistance of the three resistors connected in parallel (R1 = 10 ohms, R2 = 50 ohms, R3 = 25 ohms) is approximately 6.25 ohms.
1/10 + 1/50 + 1/25 = 1/Req
8/50 = 1/Req
Req = 50/8