what is the total resistance of three resistors in parallel if their individual resistance are 2 ohms 4 ohms and 8 ohms?
To find the total resistance (Rt) of resistors in parallel, you can use the formula:
1/Rt = 1/R1 + 1/R2 + 1/R3 + ...
Given that the individual resistances are 2 ohms, 4 ohms, and 8 ohms, the total resistance is calculated as follows:
1/Rt = 1/2 + 1/4 + 1/8
Adding up the fractions:
1/Rt = 4/8 + 2/8 + 1/8
1/Rt = 7/8
Inverting both sides to solve for Rt:
Rt/1 = 8/7
Therefore, the total resistance of the three resistors in parallel is 8/7 ohms.