Question

1. which statement is true.

a it = 10 v / 5 kω
b rt = 3 kω + 1 kω + 1 kω
c current is the same in all branches
d voltage is the same across each branch 10 vrms r1 3 kω r2 1 kω r3 1 kω

Explanation:

Step1: Analyze parallel - circuit properties

In a parallel - circuit, the voltage across each branch is equal to the source voltage.

Step2: Analyze option a

The total resistance in parallel is calculated differently. $R_{total}
eq5k\Omega$ for this parallel - circuit, so $I_t
eq\frac{10V}{5k\Omega}$.

Step3: Analyze option b

In a parallel - circuit, resistances are not added in series fashion. $R_t
eq3k\Omega + 1k\Omega+1k\Omega$.

Step4: Analyze option c

In a parallel - circuit, current is divided among branches according to Ohm's law ($I = \frac{V}{R}$), so current is not the same in all branches.

Step5: Analyze option d

Since it is a parallel - circuit, the voltage across each branch ($R1$, $R2$, $R3$) is equal to the source voltage of $10V_{rms}$.

Answer:

D. Voltage is the same across each branch