Answer to Question #209263 in Electric Circuits for Sphesihle Zuma

Question

An electic circuit consists of the following components:

-resistor R1 and R2 connected in series, and

-resistor R3 connected in parallel with R2.

If R1 =R3kohms, R2=3.5komhs,and R3=9kohms.

1.draw the circuit diagram.

2.calculate the voltage across R3 if the applied voltage is 12V.

3.calculate the current passing R1 and R3.

Answer 1

Gives

$R_1=3K\Omega$

$R_2=3.5K\Omega$

$R_3=3.5K\Omega$

V=12V

Part(a)

Parralled combination voltage drop same

$R'=R_2||R_3$

$R'=2.52\Omega$

$I=2.6A$

Potential $R_3$

$V=IR'=2.5\times2.6V=6.55V$

Voltage across $R_3$

$R_{net}=R_2||R_3+R_1$

$R_{net}=\frac{60}{13}\Omega$

$$I_1=\frac{\frac{12}{60}}{13}A=\frac{13}{5}A=2.6A$$

Current $R_3$ Resistance

$\frac{I_3}{I_2}=\frac{R_2}{R_3}=\frac{3.5}{9}=\frac{7}{18}$

$I_3=\frac{7}{25}\times2.6$ =0.728A