the figure is 4.00 W.
E
3.0 Ω
15.0 Ω
5.0 Ω
4.3 Ω
3.0 Ω
Find the equivalent resistance of the circuit.
Answer in units of Ω
To find the equivalent resistance of the circuit, we need to calculate the total resistance when the circuit is simplified.
The given circuit consists of resistors connected in series and parallel. To find the equivalent resistance, we first simplify the series and parallel combinations.
Looking at the circuit, we can see that the 15.0 Ω and 4.3 Ω resistors are connected in series. So, the total resistance of these two resistors connected in series is simply the sum of their individual resistances:
15.0 Ω + 4.3 Ω = 19.3 Ω
Now, we have two resistors remaining: 3.0 Ω and (15.0 Ω + 4.3 Ω). These two resistors are connected in parallel, which means their total resistance can be calculated using the following formula:
1 / (1/3.0 Ω + 1/19.3 Ω)
To simplify this expression, we find a common denominator:
1 / (0.333 Ω + 0.052 Ω) = 1 / 0.385 Ω
Invert the expression to find the total resistance:
1.0 Ω / 0.385 Ω = 2.5974 Ω
The equivalent resistance of the circuit is approximately 2.5974 Ω.