Question

1. the total current equals ________. a 1.4 a b 5 ma c 100 ma d 35.7 ma r1 700 ω 7.07 vpeak r2 600 ω r3 600 ω

Explanation:

Step1: Calculate equivalent resistance of R2 and R3

Since R2 and R3 are in parallel, $\frac{1}{R_{23}}=\frac{1}{600}+\frac{1}{600}=\frac{2}{600}$, so $R_{23} = 300\Omega$.

Step2: Calculate total resistance of the circuit

$R_{total}=R1 + R_{23}=700 + 300=1000\Omega$.

Step3: Calculate rms - voltage

For a sinusoidal voltage with peak value $V_{peak}=7.07V$, the rms - voltage $V_{rms}=\frac{V_{peak}}{\sqrt{2}}=\frac{7.07}{\sqrt{2}} = 5V$.

Step4: Calculate total current

Using Ohm's law $I=\frac{V}{R}$, where $V = V_{rms}$ and $R = R_{total}$, so $I=\frac{5}{1000}=5mA$.

Answer:

B. 5 mA