22. which statement is true.\na it = 10 v / 5 kω\nb rt = 3 kω + 1 kω + 1 kω\nc current is the same in all…
22. which statement is true.\na it = 10 v / 5 kω\nb rt = 3 kω + 1 kω + 1 kω\nc current is the same in all branches\nd voltage is the same across each branch 10 vrms r1 3 kω r2 1 kω r3 1 kω
Answer
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. $R_{total}\neq5k\Omega$ for this parallel - circuit, so $I_t\neq\frac{10V}{5k\Omega}$.
Step3: Analyze option b
In a parallel - circuit, resistances are not added in series fashion. $R_t\neq3k\Omega + 1k\Omega+1k\Omega$.
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