A 10 ohm resistor and a 20 ohm resistor are connected in parallel. What is the equivalent resistance of this setup?
To find the equivalent resistance of resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + ...
In this case, the resistors are 10 ohms and 20 ohms.
1/Req = 1/10 + 1/20
To simplify, let's find a common denominator:
1/Req = 2/20 + 1/20
1/Req = 3/20
To isolate Req, take the reciprocal of both sides:
Req = 20/3
Therefore, the equivalent resistance of this setup is 20/3 ohms.
To find the equivalent resistance of resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + ... + 1/Rn
where Req is the equivalent resistance and R1, R2, ... Rn are the resistances of the individual resistors.
In this case, you have two resistors: a 10 ohm resistor (R1) and a 20 ohm resistor (R2) connected in parallel. Let's substitute these values into the formula:
1/Req = 1/10 + 1/20
To simplify the equation, you can find a common denominator:
1/Req = 2/20 + 1/20
= 3/20
Now, take the reciprocal of both sides of the equation to find the equivalent resistance:
Req = 20/3
So, the equivalent resistance of the 10 ohm and 20 ohm resistors connected in parallel is approximately 6.67 (+/- 0.01) ohms.
Req = R1*R2/(R1+R2).
Req = (10*20/(10+20) = 6.67 Ohms.