How many 160ohms resistors must be connected in parallel to draw a current of 6.0A from a 120V
you want a resistance of 120/6 or 20 ohms.
if two 160 resistors are in parallel, R=80
if four are in parallel, R=40
If eight are in paralllel, R=20
To determine the number of resistors needed, we can use Ohm's Law, which states that the current (I) flowing through a resistor is equal to the voltage (V) across the resistor divided by the resistance (R): I = V/R.
In this case, we want to draw a current of 6.0A (I) from a voltage of 120V (V). We can rearrange the equation to solve for the resistance (R): R = V/I.
Substituting the values, we have R = 120V / 6.0A = 20ohms.
Now, since we have 160ohms resistors, we can calculate the number of resistors needed in parallel by dividing the desired total resistance (20ohms) by the resistance of a single resistor (160ohms): Number of resistors = Total resistance / Resistance of a single resistor = 20ohms / 160ohms = 0.125.
Since you cannot have a fraction of a resistor, we round up to the nearest integer. Therefore, you would need at least 1 resistor in parallel to draw a current of 6.0A from a 120V source using 160ohms resistors.