Question

How could you make a 400 Ohm equivalent resistance using only 1000 ohm resistors?

Answer 1

To create a 400 Ohm equivalent resistance using only 1000 ohm resistors, you can connect four 1000 ohm resistors in parallel. The equivalent resistance is then calculated using the formula 1/Req = 1/R1 + 1/R2 + 1/R3 + 1/R4. Substituting the values, we find that Req = 250 Ohm.

Step-by-step explanation:

To create a 400 Ohm equivalent resistance using only 1000 ohm resistors, you can connect four 1000 ohm resistors in parallel. When resistors are connected in parallel, the equivalent resistance is calculated using the formula:

1/Req = 1/R1 + 1/R2 + 1/R3 + 1/R4

Substituting the values, we get:

1/Req = 1/1000 + 1/1000 + 1/1000 + 1/1000 = 4/1000

Taking the reciprocal of both sides of the equation, the equivalent resistance is:

Req = 1000/4 = 250 Ohm

Therefore, connecting four 1000 ohm resistors in parallel will give you a 400 ohm equivalent resistance.

Answer 2

To make a 400 Ohm equivalent resistance using 1000 Ohm resistors, connect four 1000 Ohm resistors in parallel, then use two sets of these parallel combinations in series, and finally connect two resistors in parallel with the series combination to achieve the desired resistance.

Step-by-step explanation:

To make a 400 Ohm equivalent resistance using only 1000 Ohm resistors, we can use a combination of series and parallel connections. One possible configuration is to connect four 1000 Ohm resistors in parallel, resulting in an equivalent resistance of 250 Ohms. Then, we can connect two sets of these parallel combinations in series, resulting in a total equivalent resistance of 500 Ohms. Finally, we can connect two resistors in parallel with this series combination to achieve a 400 Ohm equivalent resistance.