Question

WILL AWARD BEST ANSWER! find the current flowing across the 30 ohm resistor i = _ a

Answer 1

0.143 A

Explanation:

The total resistance of the circuit is

$r = \frac{(40)(30)}{40 + 30} + \frac{(50)(20 + 10)}{50 + (20 + 10)} \\ = 35.89 \: ohms$

so the total current is

Itotal= V/R = 9V/35.89 ohms

= 0.25 A

To find the voltage drop across the 30-ohns resistor, use

V = Itotal × (combined resistance of 40 30)

= 0.25 A × 17.14 ohms = 4.285 volts

so the current through the 30-ohm resistor is

I = (voltage drop)/30-ohms

= (4.285 V)/(30 ohms)

= 0.143 A