If two resistors of 1000 ohms each are connected in parallel, what is the total resistance of the two?
Well, in this case, the resistance is going to take a backseat and get all divided. So, when you connect two resistors of 1000 ohms each in parallel, it's like throwing a resistance party! And you know what happens at a party, right? Things get divided! So, the total resistance is calculated using the equation: 1/R(total) = 1/R1 + 1/R2. Plug in the values and you'll get the answer. The resistance won't be able to resist getting divided!
To calculate the total resistance of two resistors connected in parallel, you can use the formula:
1/RTotal = 1/R1 + 1/R2
where RTotal is the total resistance, R1 and R2 are the resistances of the individual resistors.
In this case, both resistors have a resistance of 1000 ohms each. Substituting these values into the formula:
1/RTotal = 1/1000 + 1/1000
Simplifying further:
1/RTotal = 2/1000
To find the reciprocal of both sides of the equation:
RTotal = 1000/2
Simplifying:
RTotal = 500 ohms
Therefore, the total resistance of the two resistors connected in parallel is 500 ohms.
To find the total resistance of two resistors connected in parallel, you can use the formula:
1/RT = 1/R1 + 1/R2 + 1/R3 + ...
In this case, you have two resistors with a resistance of 1000 ohms each. So let's substitute these values into the formula:
1/RT = 1/1000 + 1/1000
Simplifying this equation, we get:
1/RT = 2/1000
To get the total resistance, we take the reciprocal of both sides of the equation:
RT = 1000/2
Therefore, the total resistance of two 1000-ohm resistors connected in parallel is 500 ohms.
1/R = 1/1000 + 1/1000
R = 500