Question

A 15 ohm resistor is connected parallel across a 30 ohm resistor. If this combination is now connected in series with a 9.0 V battery and a 20 ohm resistor, what is the current through the 15 ohm resistor?

A. 0.10 A
B. 0.26 A
C. 0.20 A
D. 0.13 A

Answer 1

The current through the 15 ohm resistor is 0.9 A.

Step-by-step explanation:

To find the current through the 15 ohm resistor, we first need to determine the equivalent resistance of the entire circuit. When two resistors are connected in parallel, the equivalent resistance is given by the formula:

1/Req = 1/R1 + 1/R2

Using the given values, we can calculate the equivalent resistance as follows:

1/Req = 1/15 + 1/30 = 2/30 + 1/30 = 3/30 = 1/10

Req = 10 ohms

Now that we have the equivalent resistance, we can use Ohm's Law (V = IR) to find the current through the 15 ohm resistor:

I = V / Req = 9.0 V / 10 ohms = 0.9 A

Therefore, the current through the 15 ohm resistor is 0.9 A.