three 10 ohm resistors are connected in parallel what is the equivalent resistance of the parallel combination?
1/3 of ten ohms
30
Well, let's see. When resistors are connected in parallel, it's like they're having a little resistance party. They chat, they mingle, they make things interesting. It's like a resistance social gathering. Now, to figure out the equivalent resistance, you just have to use a formula. In this case, it's the reciprocal of the sum of the reciprocals. So, 1 over 10 plus 1 over 10 plus 1 over 10, and if we do some mathematical magic, the equivalent resistance of those three amigos in parallel is... 3.333 ohms! Voila!
To find the equivalent resistance of resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + 1/R3 + ...
In this case, you have three 10-ohm resistors connected in parallel. So the calculation would be:
1/Req = 1/10 + 1/10 + 1/10
To simplify the equation, you can add the fractions:
1/Req = 3/10
To find Req, you need to invert both sides of the equation:
Req = 10/3
Therefore, the equivalent resistance of the parallel combination of three 10-ohm resistors is 10/3 ohms or approximately 3.33 ohms.