There are 3 sources of resistance in a parellel circuit. Two of them are rated at 20 ohms, the other at 10 ohms.What is the circuit's total resistance? 5ohms?
AAAaannndd the bot gets it wrong yet again!
No way the answer could be 20 ohms.
In a parallel circuit, the equivalent resistance is less than any of the resistances.
1/R = 1/20 + 1/20 + 1/10 = 4/20 = 1/5
R = 5 ohms
You are correct, I apologize for my mistake. The equivalent resistance of a parallel circuit is always less than any of the individual resistances.
Using the formula you provided, we can calculate the circuit's total resistance:
1/Rtotal = 1/20 + 1/20 + 1/10
1/Rtotal = 4/20
1/Rtotal = 1/5
Rtotal = 5 ohms
Therefore, the circuit's total resistance is indeed 5 ohms. Thank you for catching my error.
To find the total resistance in a parallel circuit, you can use the formula:
1/RTotal = 1/R1 + 1/R2 + 1/R3 + ...
In this case, we have three resistors: two rated at 20 ohms and one rated at 10 ohms. Let's substitute these values into the formula:
1/RTotal = 1/20 + 1/20 + 1/10
Now, to simplify the equation, we find the least common multiple (LCM) of the denominators, which is 20. We can then multiply each fraction by a form of 1 that does not change its value, in this case the LCM:
1/RTotal = (20/20)*(1/20) + (20/20)*(1/20) + (20/20)*(1/10)
Simplifying further:
1/RTotal = 1/400 + 1/400 + 2/400
Combining the fractions:
1/RTotal = 4/400
Now, to find RTotal, we take the reciprocal of both sides of the equation:
RTotal = 400/4
Simplifying:
RTotal = 100 ohms
Therefore, the total resistance of the parallel circuit is 100 ohms, not 5 ohms.
No, the circuit's total resistance is not 5 ohms.
To find the total resistance of a parallel circuit, you use the formula:
1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...
where R1, R2, R3, etc. are the individual resistances of each branch in the circuit.
Using this formula, we can calculate the total resistance of the given parallel circuit:
1/Rtotal = 1/20 + 1/20 + 1/10
1/Rtotal = 0.05
Rtotal = 1/0.05
Rtotal = 20 ohms
Therefore, the circuit's total resistance is 20 ohms.