Three different resistors: 10 ohm, 20 ohm, and 20 ohm are connected in parallel, the overall resistance is:
5 ohms
To find the overall resistance when resistors are connected in parallel, you can use the formula:
1/RT = 1/R1 + 1/R2 + 1/R3 + ...
Where RT is the total resistance and R1, R2, R3, etc., are the individual resistances.
In this case, we have three resistors connected in parallel:
R1 = 10 ohm
R2 = 20 ohm
R3 = 20 ohm
Substituting these values into the formula, we have:
1/RT = 1/10 + 1/20 + 1/20
We need to add up the reciprocals of the individual resistances and then take the reciprocal of the sum to find RT.
1/10 + 1/20 + 1/20 = 1/10 + 1/10 + 1/20
= 2/10 + 1/20
= 4/20 + 1/20
= 5/20
= 1/4
Now, we take the reciprocal of 1/4:
RT = 1/(1/4)
= 4 ohm
Therefore, the overall resistance when the resistors are connected in parallel is 4 ohms.