Question

Как из 4 резисторов сопротивлением 100 ом каждый составить участок цепи сопротивлением 60 ом?

Answer 1

Все резисторы с одним номиналом, поэтому при параллельном соединении получаем R1=R/2=100/2. Потом идет последовательное R2=R+R1=100+50=150, и снова параллельное R3=(R*R2)/(R+R3)=15000/250=60 Ом

Answer 2

Calculating Resistance in a Circuit

To calculate the equivalent resistance of 4 resistors with a resistance of 100 ohms each to form a circuit with a resistance of 60 ohms, we can use the formula for resistors in parallel:

1. Calculate the Equivalent Resistance: - The formula for resistors in parallel is: ``` 1/Req = 1/R1 + 1/R2 + 1/R3 + 1/R4 ``` - Substituting the given values: ``` 1/Req = 1/100 + 1/100 + 1/100 + 1/100 ``` ``` 1/Req = 4/100 ``` ``` Req = 100/4 ``` ``` Req = 25 ohms ``` - The equivalent resistance of the 4 resistors is 25 ohms.

2. Conclusion: - It's not possible to achieve a circuit resistance of 60 ohms using 4 resistors with a resistance of 100 ohms each. The equivalent resistance of the 4 resistors in parallel is 25 ohms, which is higher than the desired 60 ohms