five resistors each has a resistance R ohms and are connected in parallel. if the equivalent resistance is 20 ohms. find the ohmic resistance of each resistors.
1/Req. = 5/R.
1/20 = 5/R,
To find the ohmic resistance of each resistor, we can use the formula for the equivalent resistance of resistors connected in parallel:
1/Req = 1/R1 + 1/R2 + 1/R3 + ...
Given that the equivalent resistance (Req) is 20 ohms and there are five resistors with the same resistance R, we can rewrite the formula:
1/20 = 1/R + 1/R + 1/R + 1/R + 1/R
Simplifying the equation:
1/20 = 5/R
Now, we need to isolate R by rearranging the equation:
R/5 = 20
R = 5 * 20
Therefore, the ohmic resistance of each resistor is 100 ohms.