- #1
tmr0116 said:Homework Statement
Find the equivalent resistance between points a and b in the figure
Homework Equations
1/Req = 1/R1+1/R2... for parallel
Req= R1+R2... for series
The Attempt at a Solution
12.63 ohms
No. If two elements are in series, all the current that goes through one has to go through the other. A current flowing through the 10-ohm resistor can go through the 9-ohm resistor or the 2-ohm resistor, so the 10-ohm resistor and the 2-ohm resistor are not in series. In contrast, all of the current in the 2-ohm resistor must also go through the 1-ohm resistor, so those resistors are in series.tmr0116 said:Are the 1, 2, and 10 ohm resistors in series?
Equivalent resistance is the total resistance of a circuit or a combination of resistors that has the same effect as a single resistor.
The equivalent resistance is calculated using the formula Req = R1 + R2 + R3 + ..., where R1, R2, R3, etc. are the individual resistances in a circuit.
In a series circuit, the equivalent resistance is the sum of all the individual resistances, while in a parallel circuit, the equivalent resistance is calculated using the formula 1/Req = 1/R1 + 1/R2 + 1/R3 + ...
No, the equivalent resistance of a circuit can never be lower than the lowest individual resistance. It can only be equal to or greater than the lowest individual resistance.
Adding resistors in series increases the equivalent resistance, while adding resistors in parallel decreases the equivalent resistance. In some cases, the equivalent resistance may remain unchanged.