what is the equivalent resistance in this parallel circuit? ω what is the voltage in the circuit? v what is…

what is the equivalent resistance in this parallel circuit? ω what is the voltage in the circuit? v what is the total current in the circuit? a 120 v 5.0 ω 10.0 ω 15.0 ω
Answer
Explanation:
Step1: Calculate equivalent resistance
For resistors in parallel, the formula is $\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$. Here, $R_1 = 5.0\Omega$, $R_2=10.0\Omega$, $R_3 = 15.0\Omega$. So $\frac{1}{R_{eq}}=\frac{1}{5}+\frac{1}{10}+\frac{1}{15}=\frac{6 + 3+ 2}{30}=\frac{11}{30}$. Then $R_{eq}=\frac{30}{11}\approx2.73\Omega$.
Step2: Determine voltage
In a parallel - circuit, the voltage across each branch is equal to the source voltage. Given the source voltage is $120V$, so the voltage in the circuit $V = 120V$.
Step3: Calculate total current
Using Ohm's law $I=\frac{V}{R_{eq}}$. Substitute $V = 120V$ and $R_{eq}=\frac{30}{11}\Omega$ into the formula, we get $I=\frac{120}{\frac{30}{11}}=120\times\frac{11}{30}=44A$.
Answer:
Equivalent resistance: $2.73\Omega$ Voltage: $120V$ Total current: $44A$