Question

Find the equivalent resistance of 800 ohms, 4 kilo-ohms, and 1500 ohms in series and in parallel.​

Answer 1

The equivalent resistance of the given resistors in series is 6300 ohms. The equivalent resistance of the given resistors in parallel is 533.33 ohms.

Step-by-step explanation:

To find the equivalent resistance of resistors in series, you simply add up the individual resistances. In this case, the resistances are 800 ohms, 4 kilo-ohms (which is equivalent to 4000 ohms), and 1500 ohms. Adding these resistances gives us a total of:

800 ohms + 4000 ohms + 1500 ohms = 6300 ohms.

Therefore, the equivalent resistance of these resistors in series is 6300 ohms.

To find the equivalent resistance of resistors in parallel, you use the formula:

1 / Requiv = 1 / R₁ + 1 / R₂ + 1 / R3

Using this formula, we can find the equivalent resistance of the resistors in parallel:

1 / Requiv = 1 / 800 ohms + 1 / 4000 ohms + 1 / 1500 ohms

Calculating this expression gives us:

1 / Requiv = 0.00125 + 0.00025 + 0.00067 = 0.001875

Taking the reciprocal of both sides of the equation:

Requiv = 1 / 0.001875 = 533.33 ohms

Therefore, the equivalent resistance of these resistors in parallel is 533.33 ohms.

Answer 2

Series 6300 ohmn and parallel 460.83 ohms

Explanation:

Data :

Resistance R1 = 800 ohms

Resistance R2 = 4 kilo ohms = 4000 ohms

Resistance R3 = 1500 omhs

So formula for equalivent series resistance

R = R1 + R2 + R3 = 800 + 4000 + 1500 = 6300ohms

For parallel equalivent resistance

1/R = 1/R1 + 1/R2 + 1/R3 = 1/800 + 1/4000 + 1/1500 =

1/R = 0.0021666666666

R = 460.82949308755 ohms