What is the total current when two 1000 ohm resistors are connected in parallel across a 40 volt battery?

To determine the total current when two resistors are connected in parallel across a voltage source, we first need to calculate the equivalent resistance of the parallel combination of the resistors. When resistors are in parallel, the formula for calculating the equivalent resistance (R_eq) is:

1/R_eq = 1/R1 + 1/R2

In this case, both resistors have a value of 1000 ohms. Therefore:

1/R_eq = 1/1000 + 1/1000 = 2/1000

This simplifies to:

R_eq = 1000/2 = 500 ohms.

Now that we have the equivalent resistance, we can use Ohm's Law to find the total current (I) flowing in the circuit. Ohm's Law states that:

I = V/R

Here, the voltage (V) is 40 volts, and the equivalent resistance (R_eq) is 500 ohms. Substituting these values into the equation gives:

I = 40 volts / 500 ohms = 0.08 amperes.

This calculation shows that the total current when two 1000 ohm resistors are connected in parallel across a 40 volt battery is