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HURRY PLEASE Three resistors of 100 W, 3900 W, and 1000 W are connected in series across a 200-V battery. What is the voltage drop across the resistor of value 1000 W? please add an explaination.

Sagot :

Answer:

If the resistors are in series the current thru the circuit will be the same for all of the resistors,

Normally, the value of a resistor is given in ohms but the question seems to imply that resistance is given in watts.

3900 + 1000 + 100 = 5000 watts        total power used in the circuit

P = I V

5000 = I * 200 volts

I = 25 amps

So      I^2 R = 1000 watts for the named resistor

R = 1000 / 25^2 = 1.6 ohms for the 1000 watt resistor

V = I * R = 25 amps * 1.6 ohms = 40 V across that resistor

Check: 3900 / 1000 * 40 = 156 volts

100 / 1000 * 40 = 4 volts

Total voltage drop = 40 + 156 + 4 = 200 volts         as given