A 10 ohm resistor and a 20 ohm resistor are connected in parallel. What is the equivalent resistance of this setup?
What formula do I use for this?
To find the equivalent resistance of resistors connected in parallel, you can use the following formula:
1/Req = 1/R1 + 1/R2 + ...
Where:
- Req is the equivalent resistance
- R1, R2, etc. are the individual resistances of the resistors connected in parallel.
In this case, let's consider the 10 ohm resistor as R1 and the 20 ohm resistor as R2. Plugging these values into the formula, we get:
1/Req = 1/R1 + 1/R2
1/Req = 1/10 + 1/20
Now, you can calculate the value of Req by simplifying the equation and taking the reciprocal of both sides.
To find the equivalent resistance of resistors connected in parallel, you can use the formula:
1/Requivalent = 1/R1 + 1/R2 + 1/R3 + ...
In this case, you have two resistors, one with a resistance of 10 ohms (R1) and another with a resistance of 20 ohms (R2).
Plugging these values into the formula, we get:
1/Requivalent = 1/10 + 1/20
Now, let's simplify this equation.
1/Requivalent = 2/20 + 1/20
Combining the fractions, we get:
1/Requivalent = 3/20
To get the equivalent resistance (Requivalent), take the reciprocal of both sides:
Requivalent = 20/3 ohms
So, the equivalent resistance of the setup is approximately 6.67 ohms.