Question

Three resistors with resistances of 1 0 ω 10 ω, 7 . 9 8 ω 7.98 ω and 4 . 4 0 ω 4.40 ω are connected in parallel to each other and to a 12v battery. what is the total current in this circuit (i.e., the current leaving the positive battery terminal)?

Answer 1

To find the total current in the circuit with three resistors connected in parallel to a 12V battery, calculate the equivalent resistance of the parallel combination, then apply Ohm's law to determine the current.

Step-by-step explanation:

To calculate the total current in the circuit with three resistors of 10 Ω, 7.98 Ω, and 4.40 Ω connected in parallel to a 12V battery, we need to find the equivalent resistance (Req) of the parallel combination and use Ohm's law. The equivalent resistance of resistors in parallel is calculated using the formula:

1/Req = 1/R1 + 1/R2 + 1/R3

Substituting the given values, we get:

1/Req = 1/10 + 1/7.98 + 1/4.40

Calculating this gives us Req. Next, using Ohm's law (V = IR), where V is the voltage and I is the current, the total current (I) supplied by the battery can be calculated as:

I = V / Req

Since the voltage (V) is 12V, we plug in our value for Req to find the total current leaving the positive battery terminal.